2138362675200
2,138,362,675,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 2138362675200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1224 divisors.
2138362675200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred twenty-four divisors.
Prime factorization of 2138362675200:
216 × 35 × 52 × 41 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 41 × 131)See below for interesting mathematical facts about the number 2138362675200 from the Numbermatics database.
Names of 2138362675200
- Cardinal: 2138362675200 can be written as Two trillion, one hundred thirty-eight billion, three hundred sixty-two million, six hundred seventy-five thousand, two hundred.
Scientific notation
- Scientific notation: 2.1383626752 × 1012
Factors of 2138362675200
Divisors of 2138362675200
- Number of divisors d(n): 1224
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 41 45 48 50 54 60 64 72 75 80 81 82 90 96 100 108 120 123 128 131 135 144 150 160 162 164 180 192 200 205 216 225 240 243 246 256 262 270 288 300 320 324 328 360 369 384 393 400 405 410 432 450 480 486 492 512 524 540 576 600 615 640 648 655 656 675 720 738 768 786 800 810 820 864 900 960 972 984 1024 1025 1048 1080 1107 1152 1179 1200 1215 1230 1280 1296 1310 1312 1350 1440 1476 1536 1572 1600 1620 1640 1728 1800 1845 1920 1944 1965 1968 2025 2048 2050 2096 2160 2214 2304 2358 2400 2430 2460 2560 2592 2620 2624 2700 2880 2952 3072 3075 3144 3200 3240 3275 3280 3321 3456 3537 3600 3690 3840 3888 3930 3936 4050 4096 4100 4192 4320 4428 4608 4716 4800 4860 4920 5120 5184 5240 5248 5371 5400 5535 5760 5895 5904 6075 6144 6150 6288 6400 6480 6550 6560 6642 6912 7074 7200 7380 7680 7776 7860 7872 8100 8192 8200 8384 8640 8856 9216 9225 9432 9600 9720 9825 9840 9963 10240 10368 10480 10496 10611 10742 10800 11070 11520 11790 11808 12150 12288 12300 12576 12800 12960 13100 13120 13284 13824 14148 14400 14760 15360 15552 15720 15744 16113 16200 16384 16400 16605 16768 17280 17685 17712 18432 18450 18864 19200 19440 19650 19680 19926 20480 20736 20960 20992 21222 21484 21600 22140 23040 23580 23616 24300 24576 24600 25152 25600 25920 26200 26240 26568 26855 27648 27675 28296 28800 29475 29520 30720 31104 31440 31488 31833 32226 32400 32768 32800 33210 33536 34560 35370 35424 36864 36900 37728 38400 38880 39300 39360 39852 40960 41472 41920 41984 42444 42968 43200 44280 46080 47160 47232 48339 48600 49152 49200 49815 50304 51200 51840 52400 52480 53055 53136 53710 55296 55350 56592 57600 58950 59040 61440 62208 62880 62976 63666 64452 64800 65536 65600 66420 67072 69120 70740 70848 73728 73800 75456 76800 77760 78600 78720 79704 80565 81920 82944 83025 83840 83968 84888 85936 86400 88425 88560 92160 94320 94464 96678 97200 98304 98400 99630 100608 102400 103680 104800 104960 106110 106272 107420 110592 110700 113184 115200 117900 118080 122880 124416 125760 125952 127332 128904 129600 131200 132840 134144 134275 138240 141480 141696 145017 147456 147600 150912 153600 155520 157200 157440 159165 159408 161130 163840 165888 166050 167680 167936 169776 171872 172800 176850 177120 184320 188640 188928 193356 194400 196608 196800 199260 201216 204800 207360 209600 209920 212220 212544 214840 221184 221400 226368 230400 235800 236160 241695 245760 248832 249075 251520 251904 254664 257808 259200 262400 265275 265680 268288 268550 276480 282960 283392 290034 294912 295200 301824 307200 311040 314400 314880 318330 318816 322260 327680 331776 332100 335360 335872 339552 343744 345600 353700 354240 368640 377280 377856 386712 388800 393600 398520 402432 402825 409600 414720 419200 419840 424440 425088 429680 435051 442368 442800 452736 460800 471600 472320 483390 491520 497664 498150 503040 503808 509328 515616 518400 524800 530550 531360 536576 537100 552960 565920 566784 580068 589824 590400 603648 614400 622080 628800 629760 636660 637632 644520 663552 664200 670720 671744 679104 687488 691200 707400 708480 725085 737280 754560 755712 773424 777600 787200 795825 797040 804864 805650 819200 829440 838400 839680 848880 850176 859360 870102 884736 885600 905472 921600 943200 944640 966780 983040 995328 996300 1006080 1007616 1018656 1031232 1036800 1049600 1061100 1062720 1073152 1074200 1105920 1131840 1133568 1160136 1180800 1207296 1208475 1228800 1244160 1257600 1259520 1273320 1275264 1289040 1305153 1327104 1328400 1341440 1343488 1358208 1374976 1382400 1414800 1416960 1450170 1474560 1509120 1511424 1546848 1555200 1574400 1591650 1594080 1609728 1611300 1638400 1658880 1676800 1679360 1697760 1700352 1718720 1740204 1769472 1771200 1810944 1843200 1886400 1889280 1933560 1990656 1992600 2012160 2015232 2037312 2062464 2073600 2099200 2122200 2125440 2146304 2148400 2175255 2211840 2263680 2267136 2320272 2361600 2414592 2416950 2457600 2488320 2515200 2519040 2546640 2550528 2578080 2610306 2654208 2656800 2682880 2686976 2716416 2749952 2764800 2829600 2833920 2900340 2949120 3018240 3022848 3093696 3110400 3148800 3183300 3188160 3219456 3222600 3317760 3353600 3358720 3395520 3400704 3437440 3480408 3542400 3621888 3625425 3686400 3772800 3778560 3867120 3981312 3985200 4024320 4030464 4074624 4124928 4147200 4198400 4244400 4250880 4292608 4296800 4350510 4423680 4527360 4534272 4640544 4723200 4829184 4833900 4915200 4976640 5030400 5038080 5093280 5101056 5156160 5220612 5308416 5313600 5365760 5432832 5499904 5529600 5659200 5667840 5800680 6036480 6045696 6187392 6220800 6297600 6366600 6376320 6438912 6445200 6525765 6635520 6707200 6717440 6791040 6801408 6874880 6960816 7084800 7243776 7250850 7372800 7545600 7557120 7734240 7962624 7970400 8048640 8060928 8149248 8249856 8294400 8396800 8488800 8501760 8585216 8593600 8701020 8847360 9054720 9068544 9281088 9446400 9658368 9667800 9953280 10060800 10076160 10186560 10202112 10312320 10441224 10627200 10731520 10865664 10876275 10999808 11059200 11318400 11335680 11601360 12072960 12091392 12374784 12441600 12595200 12733200 12752640 12877824 12890400 13051530 13271040 13414400 13434880 13582080 13602816 13749760 13921632 14169600 14487552 14501700 14745600 15091200 15114240 15468480 15925248 15940800 16097280 16298496 16499712 16588800 16793600 16977600 17003520 17187200 17402040 18109440 18137088 18562176 18892800 19316736 19335600 19906560 20121600 20152320 20373120 20404224 20624640 20882448 21254400 21463040 21731328 21752550 21999616 22118400 22636800 22671360 23202720 24145920 24182784 24749568 24883200 25190400 25466400 25505280 25755648 25780800 26103060 26542080 26828800 27164160 27205632 27499520 27843264 28339200 28975104 29003400 30182400 30228480 30936960 31881600 32194560 32596992 32628825 32999424 33177600 33587200 33955200 34007040 34374400 34804080 36218880 36274176 37124352 37785600 38633472 38671200 39813120 40243200 40304640 40746240 40808448 41249280 41764896 42508800 42926080 43462656 43505100 43999232 44236800 45273600 45342720 46405440 48291840 49499136 49766400 50380800 50932800 51010560 51561600 52206120 53657600 54328320 54411264 54999040 55686528 56678400 57950208 58006800 60364800 60456960 61873920 63763200 64389120 65193984 65257650 65998848 66355200 67174400 67910400 68014080 68748800 69608160 72437760 72548352 74248704 75571200 77266944 77342400 79626240 80486400 81492480 81616896 82498560 83529792 85017600 86925312 87010200 87998464 90547200 90685440 92810880 96583680 98998272 99532800 100761600 101865600 102021120 103123200 104412240 107315200 108656640 108822528 109998080 111373056 113356800 115900416 116013600 120729600 120913920 123747840 127526400 128778240 130387968 130515300 131997696 132710400 135820800 136028160 137497600 139216320 144875520 148497408 151142400 154684800 160972800 162984960 163233792 164997120 167059584 170035200 173850624 174020400 175996928 181094400 181370880 185621760 193167360 197996544 199065600 201523200 203731200 204042240 206246400 208824480 214630400 217313280 217645056 219996160 222746112 226713600 231800832 232027200 241459200 247495680 255052800 260775936 261030600 263995392 271641600 272056320 274995200 278432640 289751040 296994816 302284800 309369600 321945600 325969920 326467584 329994240 334119168 340070400 347701248 348040800 351993856 362188800 362741760 371243520 386334720 395993088 398131200 407462400 408084480 412492800 417648960 434626560 439992320 445492224 453427200 464054400 482918400 494991360 510105600 521551872 522061200 527990784 543283200 544112640 549990400 556865280 579502080 593989632 604569600 618739200 643891200 651939840 652935168 659988480 668238336 680140800 695402496 696081600 724377600 742487040 791986176 814924800 816168960 824985600 835297920 869253120 879984640 890984448 906854400 928108800 965836800 989982720 1020211200 1043103744 1044122400 1055981568 1086566400 1088225280 1099980800 1113730560 1159004160 1187979264 1237478400 1303879680 1319976960 1336476672 1360281600 1392163200 1448755200 1484974080 1583972352 1629849600 1632337920 1649971200 1670595840 1738506240 1759969280 1781968896 1813708800 1856217600 1931673600 1979965440 2040422400 2086207488 2088244800 2173132800 2199961600 2227461120 2375958528 2474956800 2607759360 2639953920 2672953344 2720563200 2784326400 2897510400 2969948160 3167944704 3259699200 3264675840 3299942400 3341191680 3477012480 3563937792 3712435200 3959930880 4080844800 4176489600 4346265600 4399923200 4454922240 4751917056 4949913600 5215518720 5279907840 5345906688 5441126400 5568652800 5795020800 5939896320 6519398400 6599884800 6682383360 7127875584 7424870400 7919861760 8161689600 8352979200 8692531200 8799846400 8909844480 9503834112 9899827200 10431037440 10691813376 11137305600 11879792640 13038796800 13199769600 13364766720 14255751168 14849740800 15839723520 16323379200 16705958400 17385062400 17819688960 19799654400 21383626752 22274611200 23759585280 26077593600 26399539200 26729533440 28511502336 29699481600 33411916800 35639377920 39599308800 42767253504 44549222400 47519170560 52155187200 53459066880 59398963200 66823833600 71278755840 79198617600 85534507008 89098444800 106918133760 118797926400 133647667200 142557511680 178196889600 213836267520 237595852800 267295334400 356393779200 427672535040 534590668800 712787558400 1069181337600 2138362675200
- Sum of all divisors σ(n): 8199604629216
- Sum of proper divisors (its aliquot sum) s(n): 6061241954016
- 2138362675200 is an abundant number, because the sum of its proper divisors (6061241954016) is greater than itself. Its abundance is 3922879278816
Bases of 2138362675200
- Binary: 111110001111000000101100100000000000000002
- Hexadecimal: 0x1F1E0590000
- Base-36: RACLXC00
Squares and roots of 2138362675200
- 2138362675200 squared (21383626752002) is 4572594930688500695040000
- 2138362675200 cubed (21383626752003) is 9777866328593020924122793771008000000
-
The
square root of 2138362675200 is 1462314.1506529983 -
The
cube root of 2138362675200 is 12883.3000558593
Scales and comparisons
How big is 2138362675200?- 2,138,362,675,200 seconds is equal to 67,993 years, 16 weeks, 4 days.
-
To count from 1 to 2,138,362,675,200 would take you about one hundred sixty-nine thousand, nine hundred eighty-three 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 2138362675200 cubic inches would be around 1073.6 feet tall.
Recreational maths with 2138362675200
- 2138362675200 backwards is 0025762638312
- 2138362675200 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2138362675200's digits is 45
- More coming soon!
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The information we have on file for 2138362675200 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!
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