138144577232640
138,144,577,232,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138144577232640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138144577232640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138144577232640:
28 × 3 × 5 × 11 × 172 × 3169 × 3571
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 17 × 17 × 3169 × 3571)See below for interesting mathematical facts about the number 138144577232640 from the Numbermatics database.
Names of 138144577232640
- Cardinal: 138144577232640 can be written as One hundred thirty-eight trillion, one hundred forty-four billion, five hundred seventy-seven million, two hundred thirty-two thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3814457723264 × 1014
Factors of 138144577232640
Divisors of 138144577232640
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 32 33 34 40 44 48 51 55 60 64 66 68 80 85 88 96 102 110 120 128 132 136 160 165 170 176 187 192 204 220 240 255 256 264 272 289 320 330 340 352 374 384 408 440 480 510 528 544 561 578 640 660 680 704 748 768 816 867 880 935 960 1020 1056 1088 1122 1156 1280 1320 1360 1408 1445 1496 1632 1734 1760 1870 1920 2040 2112 2176 2244 2312 2640 2720 2805 2816 2890 2992 3169 3179 3264 3468 3520 3571 3740 3840 4080 4224 4335 4352 4488 4624 5280 5440 5610 5780 5984 6338 6358 6528 6936 7040 7142 7480 8160 8448 8670 8976 9248 9507 9537 10560 10713 10880 11220 11560 11968 12676 12716 13056 13872 14080 14284 14960 15845 15895 16320 17340 17855 17952 18496 19014 19074 21120 21426 21760 22440 23120 23936 25352 25432 27744 28568 29920 31690 31790 32640 34680 34859 35710 35904 36992 38028 38148 39281 42240 42852 44880 46240 47535 47685 47872 50704 50864 53565 53873 55488 57136 59840 60707 63380 63580 65280 69360 69718 71420 71808 73984 76056 76296 78562 85704 89760 92480 95070 95370 101408 101728 104577 107130 107746 110976 114272 117843 119680 121414 126760 127160 138720 139436 142840 143616 152112 152592 157124 161619 171408 174295 179520 182121 184960 190140 190740 196405 202816 203456 209154 214260 215492 221952 228544 235686 239360 242828 253520 254320 269365 277440 278872 285680 303535 304224 305184 314248 323238 342816 348590 359040 364242 369920 380280 381480 392810 405632 406912 418308 428520 430984 457088 471372 485656 507040 508640 522885 538730 554880 557744 571360 589215 592603 607070 608448 610368 628496 646476 667777 685632 697180 718080 728484 760560 762960 785620 808095 811264 813824 836616 857040 861968 910605 914176 915841 942744 971312 1014080 1017280 1032019 1045770 1077460 1109760 1115488 1142720 1178430 1185206 1214140 1216896 1220736 1256992 1292952 1335554 1371264 1394360 1456968 1521120 1525920 1571240 1616190 1673232 1714080 1723936 1777809 1821210 1831682 1885488 1942624 2003331 2028160 2034560 2064038 2091540 2154920 2230976 2285440 2356860 2370412 2428280 2433792 2441472 2513984 2585904 2671108 2742528 2747523 2788720 2913936 2963015 3042240 3051840 3096057 3142480 3232380 3338885 3346464 3428160 3447872 3555618 3642420 3663364 3770976 3885248 4006662 4056320 4069120 4128076 4183080 4309840 4461952 4570880 4579205 4713720 4740824 4856560 5027968 5160095 5171808 5342216 5495046 5577440 5827872 5926030 6084480 6103680 6192114 6284960 6464760 6677770 6692928 6856320 6895744 7111236 7284840 7326728 7541952 7770496 8013324 8256152 8366160 8619680 8889045 8923904 9158410 9427440 9481648 9713120 10016655 10055936 10074251 10320190 10343616 10684432 10990092 11154880 11316499 11352209 11655744 11852060 12168960 12207360 12384228 12569920 12929520 13355540 13385856 13712640 13737615 13791488 14222472 14569680 14653456 15083904 15480285 15540992 16026648 16512304 16732320 17239360 17778090 18316820 18854880 18963296 19426240 20033310 20148502 20640380 20687232 21368864 21980184 22309760 22632998 22704418 23311488 23704120 24768456 25139840 25859040 26711080 26771712 27475230 28444944 29139360 29306912 30167808 30222753 30960570 32053296 33024608 33464640 33949497 34056627 34478720 35556180 36633640 37709760 37926592 38852480 40066620 40297004 41280760 41374464 42737728 43960368 44619520 45265996 45408836 46622976 47408240 49536912 50279680 50371255 51718080 53422160 54950460 56582495 56761045 56889888 58278720 58613824 60445506 61921140 64106592 66049216 66929280 67898994 68113254 68957440 71112360 73267280 75419520 75853184 77704960 80133240 80594008 82561520 85475456 87920736 90531992 90817672 94816480 99073824 100742510 103436160 106844320 109900920 113164990 113522090 113779776 116557440 117227648 120891012 123842280 124481489 128213184 132098432 133858560 135797988 136226508 142224720 146534560 150839040 151113765 151706368 160266480 161188016 165123040 169747485 170283135 170950912 175841472 181063984 181635344 189632960 192380483 198147648 201485020 206872320 213688640 219801840 226329980 227044180 227559552 233114880 234455296 241782024 247684560 248962978 256426368 264196864 271595976 272453016 284449440 293069120 302227530 320532960 322376032 330246080 339494970 340566270 351682944 362127968 363270688 373444467 379265920 384760966 396295296 402970040 427377280 439603680 452659960 454088360 455119104 483564048 495369120 497925956 512852736 543191952 544906032 568898880 577141449 586138240 604455060 622407445 641065920 644752064 660492160 678989940 681132540 703365888 724255936 726541376 746888934 758531840 769521932 792590592 805940080 854754560 879207360 905319920 908176720 961902415 967128096 990738240 995851912 1086383904 1089812064 1137797760 1154282898 1172276480 1208910120 1244814890 1282131840 1289504128 1320984320 1357979880 1362265080 1448511872 1453082752 1493777868 1539043864 1611880160 1758414720 1810639840 1816353440 1867222335 1923804830 1934256192 1981476480 1991703824 2116185313 2172767808 2179624128 2275595520 2308565796 2417820240 2489629780 2564263680 2579008256 2715959760 2724530160 2885707245 2897023744 2906165504 2987555736 3078087728 3223760320 3270468211 3516829440 3621279680 3632706880 3734444670 3847609660 3868512384 3962952960 3983407648 4232370626 4345535616 4359248256 4617131592 4835640480 4979259560 5431919520 5449060320 5771414490 5975111472 6156175456 6348555939 6447520640 6540936422 7242559360 7265413760 7468889340 7695219320 7737024768 7966815296 8464741252 8691071232 8718496512 9234263184 9671280960 9811404633 9958519120 10580926565 10863839040 10898120640 11542828980 11950222944 12312350912 12697111878 12895041280 13081872844 14485118720 14530827520 14937778680 15390438640 15933630592 16352341055 16929482504 18468526368 19342561920 19622809266 19917038240 21161853130 21727678080 21796241280 23085657960 23900445888 24624701824 25394223756 26163745688 29875557360 30780877280 31742779695 31867261184 32704682110 33858965008 35975150321 36937052736 38685123840 39245618532 39834076480 42323706260 43455356160 43592482560 46171315920 47800891776 49057023165 49249403648 50788447512 52327491376 59751114720 61561754560 63485559390 65409364220 67717930016 71950300642 73874105472 78491237064 79668152960 84647412520 92342631840 95601783552 98114046330 101576895024 104654982752 107925450963 119502229440 123123509120 126971118780 130818728440 135435860032 143900601284 147748210944 156982474128 159336305920 169294825040 179875751605 184685263680 196228092660 203153790048 209309965504 215850901926 239004458880 246247018240 253942237560 261637456880 270871720064 287801202568 313964948256 338589650080 359751503210 369370527360 392456185320 406307580096 418619931008 431701803852 478008917760 507884475120 523274913760 539627254815 541743440128 575602405136 627929896512 677179300160 719503006420 738741054720 784912370640 812615160192 837239862016 863403607704 1015768950240 1046549827520 1079254509630 1151204810272 1255859793024 1354358600320 1439006012840 1569824741280 1625230320384 1726807215408 2031537900480 2093099655040 2158509019260 2302409620544 2511719586048 2708717200640 2878012025680 3139649482560 3453614430816 4063075800960 4186199310080 4317018038520 4604819241088 5756024051360 6279298965120 6907228861632 8126151601920 8634036077040 9209638482176 11512048102720 12558597930240 13814457723264 17268072154080 23024096205440 27628915446528 34536144308160 46048192410880 69072288616320 138144577232640
- Sum of all divisors σ(n): 511590505386240
- Sum of proper divisors (its aliquot sum) s(n): 373445928153600
- 138144577232640 is an abundant number, because the sum of its proper divisors (373445928153600) is greater than itself. Its abundance is 235301350920960
Bases of 138144577232640
- Binary: 111110110100100010010100111010000011111000000002
- Hexadecimal: 0x7DA44A741F00
- Base-36: 1CYUQQHW5C
Squares and roots of 138144577232640
- 138144577232640 squared (1381445772326402) is 19083924218784837840681369600
- 138144577232640 cubed (1381445772326403) is 2636340643143771007772625870428773023744000
-
The
square root of 138144577232640 is 11753492.1292626899 -
The
cube root of 138144577232640 is 51694.5327088741
Scales and comparisons
How big is 138144577232640?- 138,144,577,232,640 seconds is equal to 4,392,570 years, 12 weeks, 5 days, 19 hours, 44 minutes.
-
To count from 1 to 138,144,577,232,640 would take you about ten million, nine hundred eighty-one thousand, four hundred twenty-five 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 138144577232640 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138144577232640
- 138144577232640 backwards is 046232775441831
- The number of decimal digits it has is: 15
- The sum of 138144577232640's digits is 57
- More coming soon!
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The information we have on file for 138144577232640 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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