138393047187865600
138,393,047,187,865,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 138393047187865600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1215 divisors.
138393047187865600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred fifteen divisors.
Prime factorization of 138393047187865600:
214 × 52 × 132 × 612 × 7332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 61 × 61 × 733 × 733)See below for interesting mathematical facts about the number 138393047187865600 from the Numbermatics database.
Names of 138393047187865600
- Cardinal: 138393047187865600 can be written as One hundred thirty-eight quadrillion, three hundred ninety-three trillion, forty-seven billion, one hundred eighty-seven million, eight hundred sixty-five thousand, six hundred.
Scientific notation
- Scientific notation: 1.383930471878656 × 1017
Factors of 138393047187865600
Divisors of 138393047187865600
- Number of divisors d(n): 1215
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 61 64 65 80 100 104 122 128 130 160 169 200 208 244 256 260 305 320 325 338 400 416 488 512 520 610 640 650 676 733 793 800 832 845 976 1024 1040 1220 1280 1300 1352 1466 1525 1586 1600 1664 1690 1952 2048 2080 2440 2560 2600 2704 2932 3050 3172 3200 3328 3380 3665 3721 3904 3965 4096 4160 4225 4880 5120 5200 5408 5864 6100 6344 6400 6656 6760 7330 7442 7808 7930 8192 8320 8450 9529 9760 10240 10309 10400 10816 11728 12200 12688 12800 13312 13520 14660 14884 15616 15860 16384 16640 16900 18325 18605 19058 19520 19825 20480 20618 20800 21632 23456 24400 25376 25600 26624 27040 29320 29768 31232 31720 33280 33800 36650 37210 38116 39040 39650 40960 41236 41600 43264 44713 46912 47645 48373 48800 50752 51200 51545 53248 54080 58640 59536 62464 63440 66560 67600 73300 74420 76232 78080 79300 81920 82472 83200 86528 89426 93025 93824 95290 96746 97600 101504 102400 103090 106496 108160 117280 119072 123877 124928 126880 133120 135200 146600 148840 152464 156160 158600 164944 166400 173056 178852 186050 187648 190580 193492 195200 203008 204800 206180 212992 216320 223565 234560 238144 238225 241865 247754 249856 253760 257725 266240 270400 293200 297680 304928 312320 317200 329888 332800 346112 357704 372100 375296 381160 386984 390400 406016 409600 412360 432640 447130 469120 476288 476450 483730 495508 499712 507520 515450 532480 537289 540800 581269 586400 595360 609856 619385 624640 628849 634400 659776 665600 692224 715408 744200 750592 762320 773968 780800 812032 824720 865280 894260 938240 952576 952900 967460 991016 999424 1015040 1030900 1064960 1074578 1081600 1117825 1162538 1172800 1190720 1209325 1219712 1238770 1249280 1257698 1268800 1319552 1331200 1384448 1430816 1488400 1501184 1524640 1547936 1561600 1624064 1649440 1730560 1788520 1876480 1905152 1905800 1934920 1982032 2030080 2061800 2149156 2163200 2235650 2325076 2345600 2381440 2418650 2439424 2477540 2498560 2515396 2537600 2639104 2662400 2686445 2727493 2768896 2861632 2906345 2976800 3002368 3049280 3095872 3096925 3123200 3144245 3248128 3298880 3461120 3577040 3752960 3810304 3811600 3869840 3964064 4060160 4123600 4298312 4326400 4471300 4650152 4691200 4762880 4837300 4878848 4955080 4997120 5030792 5075200 5278208 5324800 5372890 5454986 5723264 5812690 5953600 6004736 6098560 6191744 6193850 6246400 6288490 6496256 6597760 6922240 6984757 7154080 7505920 7556497 7620608 7623200 7739680 7928128 8120320 8247200 8596624 8652800 8942600 9300304 9382400 9525760 9674600 9757696 9910160 10061584 10150400 10556416 10745780 10909972 11446528 11625380 11907200 12009472 12197120 12383488 12387700 12492800 12576980 12992512 13195520 13432225 13637465 13844480 13969514 14308160 14531725 15011840 15112994 15241216 15246400 15479360 15721225 15856256 16240640 16494400 17193248 17305600 17885200 18600608 18764800 19051520 19349200 19515392 19820320 20123168 20300800 21112832 21491560 21819944 22893056 23250760 23814400 24394240 24766976 24775400 24985600 25153960 26391040 26864450 27274930 27939028 28616320 29063450 30023680 30225988 30482432 30492800 30958720 31442450 31712512 32481280 32774629 32988800 34386496 34611200 34923785 35457409 35770400 37201216 37529600 37782485 38103040 38698400 39030784 39640640 40246336 40601600 42225664 42983120 43639888 45786112 46501520 47628800 48788480 49533952 49550800 50307920 52782080 53728900 54549860 55878056 57232640 58126900 60047360 60451976 60964864 60985600 61917440 62884900 63425024 64962560 65549258 65977600 68187325 68772992 69222400 69847570 70914818 71540800 74402432 75059200 75564970 76206080 77396800 78061568 79281280 80492672 81203200 84451328 85966240 87279776 90801841 91572224 93003040 95257600 97576960 99067904 99101600 100615840 105564160 107457800 109099720 111756112 114465280 116253800 120903952 121971200 123834880 125769800 126850048 131098516 131955200 136374650 137545984 139695140 141829636 143081600 148804864 150118400 151129940 152412160 154793600 156123136 158562560 160985344 162406400 163873145 168902656 171932480 174559552 174618925 177287045 181603682 183144448 186006080 188912425 190515200 195153920 198135808 198203200 201231680 211128320 214915600 218199440 223512224 228930560 232507600 241807904 243942400 247669760 251539600 253700096 262197032 263910400 272749300 275091968 279390280 283659272 286163200 297609728 300236800 302259880 304824320 309587200 317125120 321970688 324812800 327746290 343864960 349119104 349237850 354574090 363207364 366288896 372012160 377824850 381030400 390307840 396271616 396406400 402463360 422256640 426070177 429831200 436398880 447024448 454009205 457861120 460946317 465015200 483615808 487884800 495339520 503079200 507400192 524394064 527820800 545498600 550183936 558780560 567318544 572326400 595219456 604519760 619174400 634250240 643941376 655492580 687729920 698238208 698475700 709148180 726414728 732577792 744024320 755649700 762060800 780615680 792543232 792812800 804926720 819365725 844513280 852140354 859662400 872797760 886435225 894048896 908018410 915722240 921892634 930030400 967231616 975769600 990679040 1006158400 1014800384 1048788128 1055641600 1090997200 1100367872 1117561120 1134637088 1144652800 1190438912 1209039520 1238348800 1268500480 1287882752 1310985160 1375459840 1396476416 1396951400 1418296360 1452829456 1488048640 1511299400 1524121600 1585625600 1609853440 1638731450 1704280708 1719324800 1745595520 1772870450 1788097792 1816036820 1831444480 1843785268 1860060800 1934463232 1951539200 1981358080 1999252369 2012316800 2029600768 2097576256 2111283200 2130350885 2181994400 2200735744 2235122240 2269274176 2270046025 2289305600 2304731585 2380877824 2418079040 2476697600 2537000960 2575765504 2621970320 2750919680 2792952832 2793902800 2836592720 2905658912 2976097280 3022598800 3171251200 3219706880 3277462900 3408561416 3438649600 3491191040 3545740900 3576195584 3632073640 3662888960 3687570536 3720121600 3868926464 3903078400 3962716160 3998504738 4024633600 4195152512 4222566400 4260701770 4363988800 4401471488 4470244480 4538548352 4540092050 4578611200 4609463170 4761755648 4836158080 4953395200 5074001920 5151531008 5243940640 5501839360 5538912301 5585905664 5587805600 5673185440 5811317824 5952194560 6045197600 6342502400 6439413760 6554925800 6817122832 6877299200 6982382080 7091481800 7152391168 7264147280 7375141072 7440243200 7737852928 7997009476 8049267200 8390305024 8521403540 8727977600 8802942976 8940488960 9077096704 9080184100 9157222400 9218926340 9523511296 9672316160 9906790400 9996261845 10148003840 10303062016 10487881280 10651754425 11003678720 11077824602 11171811328 11175611200 11346370880 11523657925 11622635648 11904389120 12090395200 12685004800 12878827520 13109851600 13634245664 13754598400 13964764160 14182963600 14304782336 14528294560 14750282144 14880486400 15475705856 15994018952 16098534400 16780610048 17042807080 17455955200 17880977920 18154193408 18160368200 18314444800 18437852680 19344632320 19813580800 19992523690 20975762560 21303508850 22007357440 22155649204 22343622656 22351222400 22692741760 23047315850 23245271296 23808778240 24180790400 25370009600 25757655040 25990280797 26219703200 27268491328 27509196800 27694561505 27929528320 28365927200 28609564672 29056589120 29500564288 29760972800 30951411712 31988037904 32197068800 33561220096 34085614160 34911910400 35761955840 36308386816 36320736400 36875705360 38689264640 39985047380 41951525120 42607017700 44014714880 44311298408 44687245312 44702444800 45385483520 46094631700 46490542592 47617556480 48361580800 49981309225 50740019200 51515310080 51980561594 52439406400 54536982656 55018393600 55389123010 55859056640 56731854400 57219129344 58113178240 59001128576 59521945600 61902823424 63976075808 64394137600 67122440192 68171228320 69823820800 71523911680 72616773632 72641472800 73751410720 77378529280 79970094760 83903050240 85214035400 88622596816 89404889600 90770967040 92189263400 92981085184 96723161600 99962618450 103961123188 104878812800 109073965312 110036787200 110778246020 111718113280 113463708800 114438258688 116226356480 118002257152 119043891200 123805646848 127952151616 128788275200 129951403985 134244880384 136342456640 138472807525 139647641600 143047823360 145233547264 145282945600 147502821440 154757058560 159940189520 167806100480 170428070800 177245193632 178809779200 181541934080 184378526800 185962170368 193446323200 199925236900 207922246376 209757625600 218147930624 220073574400 221556492040 223436226560 226927417600 232452712960 236004514304 238087782400 255904303232 257576550400 259902807970 268489760768 272684913280 276945615050 279295283200 286095646720 290467094528 290565891200 295005642880 309514117120 319880379040 335612200960 337873650361 340856141600 354490387264 357619558400 363083868160 368757053600 371924340736 386892646400 399850473800 415844492752 419515251200 436295861248 443112984080 453854835200 464905425920 472009028608 511808606464 519805615940 536979521536 545369826560 553891230100 558590566400 572191293440 580934189056 581131782400 590011285760 619028234240 639760758080 649757019925 671224401920 675747300722 681712283200 708980774528 715239116800 726167736320 737514107200 743848681472 773785292800 799700947600 831688985504 839030502400 872591722496 886225968160 907709670400 929810851840 944018057216 1023617212928 1039611231880 1090739653120 1107782460200 1117181132800 1162263564800 1180022571520 1279521516160 1299514039850 1342448803840 1351494601444 1363424566400 1417961549056 1430478233600 1452335472640 1475028214400 1487697362944 1547570585600 1599401895200 1663377971008 1678061004800 1689368251805 1745183444992 1772451936320 1815419340800 1859621703680 1888036114432 2047234425856 2079222463760 2181479306240 2215564920400 2324527129600 2360045143040 2559043032320 2599028079700 2684897607680 2702989202888 2726849132800 2835923098112 2860956467200 2904670945280 2950056428800 3095141171200 3198803790400 3326755942016 3356122009600 3378736503610 3490366889984 3544903872640 3630838681600 3719243407360 3776072228864 4094468851712 4158444927520 4362958612480 4431129840800 4649054259200 4720090286080 5118086064640 5198056159400 5405978405776 5453698265600 5671846196224 5900112857600 6397607580800 6653511884032 6712244019200 6757473007220 6980733779968 7089807745280 7261677363200 7438486814720 7552144457728 8188937703424 8316889855040 8446841259025 8725917224960 8862259681600 9298108518400 9440180572160 10236172129280 10396112318800 10811956811552 10907396531200 11343692392448 11800225715200 12795215161600 13307023768064 13424488038400 13514946014440 14179615490560 14523354726400 16377875406848 16633779710080 16893682518050 17451834449920 17724519363200 18596217036800 18880361144320 20472344258560 20792224637600 21623913623104 21814793062400 22687384784896 23600451430400 25590430323200 26614047536128 27029892028880 28359230981120 32755750813696 33267559420160 33787365036100 34903668899840 35449038726400 37192434073600 37760722288640 40944688517120 41584449275200 43247827246208 43629586124800 45374769569792 47200902860800 51180860646400 53228095072256 54059784057760 56718461962240 66535118840320 67574730072200 70898077452800 81889377034240 83168898550400 86495654492416 87259172249600 90749539139584 94401805721600 102361721292800 106456190144512 108119568115520 113436923924480 133070237680640 135149460144400 141796154905600 163778754068480 166337797100800 172991308984832 174518344499200 188803611443200 204723442585600 212912380289024 216239136231040 226873847848960 266140475361280 270298920288800 283592309811200 332675594201600 345982617969664 409446885171200 425824760578048 432478272462080 453747695697920 532280950722560 540597840577600 567184619622400 665351188403200 691965235939328 818893770342400 864956544924160 1064561901445120 1081195681155200 1134369239244800 1330702376806400 1383930471878656 1729913089848320 2129123802890240 2162391362310400 2268738478489600 2661404753612800 2767860943757312 3459826179696640 4324782724620800 5322809507225600 5535721887514624 6919652359393280 8649565449241600 10645619014451200 13839304718786560 17299130898483200 27678609437573120 34598261796966400 69196523593932800 138393047187865600
- Sum of all divisors σ(n): 378343822890115719
- Sum of proper divisors (its aliquot sum) s(n): 239950775702250119
- 138393047187865600 is an abundant number, because the sum of its proper divisors (239950775702250119) is greater than itself. Its abundance is 101557728514384519
Bases of 138393047187865600
- Binary: 1111010111010101110111110010000010000010001000000000000002
- Hexadecimal: 0x1EBABBE41044000
- Base-36: 11UO8O6T2CCG
Squares and roots of 138393047187865600
- 138393047187865600 squared (1383930471878656002) is 19152635509942794656259883663360000
- 138393047187865600 cubed (1383930471878656003) is 2650591589899503509831832007812969458267324416000000
-
138393047187865600 is a
perfect square number . Itssquare root is 372012160 -
The
cube root of 138393047187865600 is 517255.0713037019
Scales and comparisons
How big is 138393047187865600?- 138,393,047,187,865,600 seconds is equal to 4,400,470,822 years, 40 weeks, 1 day, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,393,047,187,865,600 would take you about thirteen billion, two hundred one million, four hundred twelve thousand, four hundred sixty-eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138393047187865600 cubic inches would be around 43104.6 feet tall.
Recreational maths with 138393047187865600
- 138393047187865600 backwards is 006568781740393831
- The number of decimal digits it has is: 18
- The sum of 138393047187865600's digits is 79
- More coming soon!
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"Number 138393047187865600 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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The information we have on file for 138393047187865600 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138393047187865600, math, Factors of 138393047187865600, curriculum, school, college, exams, university, Prime factorization of 138393047187865600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred ninety-three trillion, forty-seven billion, one hundred eighty-seven million, eight hundred sixty-five thousand, six hundred.