137272768655299920
137,272,768,655,299,920 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137272768655299920 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2400 divisors.
137272768655299920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 137272768655299920:
24 × 34 × 5 × 292 × 31 × 73 × 79 × 140897
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 29 × 29 × 31 × 73 × 79 × 140897)See below for interesting mathematical facts about the number 137272768655299920 from the Numbermatics database.
Names of 137272768655299920
- Cardinal: 137272768655299920 can be written as One hundred thirty-seven quadrillion, two hundred seventy-two trillion, seven hundred sixty-eight billion, six hundred fifty-five million, two hundred ninety-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3727276865529992 × 1017
Factors of 137272768655299920
Divisors of 137272768655299920
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 31 36 40 45 48 54 58 60 62 72 73 79 80 81 87 90 93 108 116 120 124 135 144 145 146 155 158 162 174 180 186 216 219 232 237 240 248 261 270 279 290 292 310 316 324 348 360 365 372 395 405 432 435 438 464 465 474 496 522 540 558 580 584 620 632 648 657 696 711 720 730 744 783 790 810 837 841 870 876 899 930 948 1044 1080 1095 1116 1160 1168 1185 1240 1264 1296 1305 1314 1392 1395 1422 1460 1488 1566 1580 1620 1674 1682 1740 1752 1798 1860 1896 1971 2088 2117 2133 2160 2190 2232 2263 2291 2320 2349 2370 2449 2480 2511 2523 2610 2628 2697 2790 2844 2920 3132 3160 3240 3285 3348 3364 3480 3504 3555 3596 3720 3792 3915 3942 4176 4185 4205 4234 4266 4380 4464 4495 4526 4582 4698 4740 4898 5022 5046 5220 5256 5394 5580 5688 5767 5840 5913 6264 6320 6351 6399 6480 6570 6696 6728 6789 6873 6960 7110 7192 7347 7440 7569 7830 7884 8091 8370 8410 8468 8532 8760 8990 9052 9164 9396 9480 9796 9855 10044 10092 10440 10512 10585 10665 10788 11160 11315 11376 11455 11534 11745 11826 12245 12528 12555 12615 12702 12798 13140 13392 13456 13485 13578 13746 14220 14384 14694 15138 15660 15768 16182 16740 16820 16936 17064 17301 17520 17980 18104 18328 18792 18960 19053 19592 19710 20088 20184 20367 20619 20880 21170 21330 21576 22041 22320 22630 22707 22910 23068 23490 23652 24273 24490 25110 25230 25404 25596 26071 26280 26970 27156 27492 28440 28835 29388 29565 30276 31320 31536 31755 31995 32364 33480 33640 33872 33945 34128 34365 34602 35960 36208 36656 36735 37584 37845 38106 39184 39420 40176 40368 40455 40734 41238 42340 42660 43152 44082 45260 45414 45820 46136 46980 47304 48546 48980 50220 50460 50808 51192 51903 52142 52560 53940 54312 54984 56880 57159 57670 58776 59130 60552 61101 61393 61857 62640 63510 63990 64728 65627 66123 66439 66960 67280 67890 68121 68730 69204 71021 71920 72819 73470 75690 76212 78213 78840 80910 81468 82476 84680 85320 86505 88164 90520 90828 91640 92272 93960 94608 95265 97092 97960 100440 100920 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6362289982170 6435666603624 6484306502376 6574366314909 6657586141680 6739960163760 6801068601630 6833570721590 6964625502552 7006572512010 7204785002640 7240124929077 7304851461010 7489784409390 7582455184230 7634747978604 7835203690371 7934383483920 8044583254530 8105383127970 8161282321956 8200284865908 8483053309560 8705781878190 8765821753212 9068091468840 9342096682680 9543434973255 9653499905436 9986379212520 10109940245640 10179663971472 10201602902445 10250356082385 10446938253828 10726111006040 10807177503960 10881709762608 10933713154544 10957277191515 11210516019216 11607709170920 11687762337616 11901575225880 11983655055024 12066874881795 12131928294768 12300427298862 12724579964340 12871333207248 12968613004752 13058672817285 13148732629818 13602137203260 13667141443180 13929251005104 14013145024020 14480249858154 14609702922020 14979568818780 15164910368460 15269495957208 15670407380742 16089166509060 16210766255940 16322564643912 16400569731816 16966106619120 17411563756380 17531643506424 18136182937680 18450640948293 18684193365360 19086869946510 19306999810872 19723098944727 19972758425040 20219880491280 20403205804890 20500712164770 20893876507656 21184069236929 21452222012080 21614355007920 21720374787231 21914554383030 23215418341840 23505611071113 23803150451760 24133749763590 24600854597724 25449159928680 26117345634570 26297465259636 27204274406520 27334282886360 28026290048040 28960499716308 29219405844040 29959137637560 30329820736920 30538991914416 30751068247155 31340814761484 32178333018120 32421532511880 32645129287824 32801139463632 32871831574545 34823127512760 35063287012848 36200624645385 36901281896586 38173739893020 38613999621744 39176018451855 39446197889454 40806411609780 41001424329540 41787753015312 42368138473858 43440749574462 43829108766060 47011222142226 48267499527180 49201709195448 50898319857360 52234691269140 52594930519272 54408548813040 54668565772720 55351922844879 56052580096080 57920999432616 58438811688080 59169296834181 59918275275120 60659641473840 61502136494310 62681629522968 63552207710787 64356666036240 64843065023760 65743663149090 69646255025520 72401249290770 73802563793172 76347479786040 78352036903710 78892395778908 81612823219560 82002848659080 84736276947716 86881499148924 87658217532120 92253204741465 94022444284452 96534999054360 98403418390896 98615494723635 104469382538280 105189861038544 105920346184645 108601873936155 110703845689758 115841998865232 117528055355565 118338593668362 123004272988620 125363259045936 127104415421574 131487326298180 144802498581540 147605127586344 152694959572080 156704073807420 157784791557816 163225646439120 164005697318160 169472553895432 173762998297848 175316435064240 184506409482930 188044888568904 190656623132361 193069998108720 197230989447270 208938765076560 211840692369290 217203747872310 221407691379516 235056110711130 236677187336724 246008545977240 254208830843148 262974652596360 276759614224395 289604997163080 295210255172688 295846484170905 313408147614840 315569583115632 317761038553935 338945107790864 347525996595696 369012818965860 376089777137808 381313246264722 394461978894540 423681384738580 434407495744620 442815382759032 470112221422260 473354374673448 492017091954480 508417661686296 525949305192720 553519228448790 571969869397083 579209994326160 591692968341810 626816295229680 635522077107870 738025637931720 762626492529444 788923957789080 847362769477160 868814991489240 885630765518064 940224442844520 946708749346896 953283115661805 1016835323372592 1107038456897580 1143939738794166 1183385936683620 1271044154215740 1476051275863440 1525252985058888 1577847915578160 1694725538954320 1715909608191249 1737629982978480 1880448885689040 1906566231323610 2214076913795160 2287879477588332 2366771873367240 2542088308431480 2859849346985415 3050505970117776 3431819216382498 3813132462647220 4428153827590320 4575758955176664 4733543746734480 5084176616862960 5719698693970830 6863638432764996 7626264925294440 8579548040956245 9151517910353328 11439397387941660 13727276865529992 15252529850588880 17159096081912490 22878794775883320 27454553731059984 34318192163824980 45757589551766640 68636384327649960 137272768655299920
- Sum of all divisors σ(n): 523230417172869120
- Sum of proper divisors (its aliquot sum) s(n): 385957648517569200
- 137272768655299920 is an abundant number, because the sum of its proper divisors (385957648517569200) is greater than itself. Its abundance is 248684879862269280
Bases of 137272768655299920
- Binary: 1111001111011000011011011000101010000100010010101010100002
- Hexadecimal: 0x1E7B0DB15089550
- Base-36: 11JN4VC3ID00
Squares and roots of 137272768655299920
- 137272768655299920 squared (1372727686552999202) is 18843813014291492206575105152006400
- 137272768655299920 cubed (1372727686552999203) is 2586742384494565854807166183756269161816581759488000
-
The
square root of 137272768655299920 is 370503398.9794154641 -
The
cube root of 137272768655299920 is 515855.5780534457
Scales and comparisons
How big is 137272768655299920?- 137,272,768,655,299,920 seconds is equal to 4,364,849,430 years, 35 weeks, 4 days, 16 hours, 12 minutes.
-
To count from 1 to 137,272,768,655,299,920 would take you about thirteen billion, ninety-four million, five hundred forty-eight thousand, two hundred ninety-two 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 137272768655299920 cubic inches would be around 42988 feet tall.
Recreational maths with 137272768655299920
- 137272768655299920 backwards is 029992556867272731
- 137272768655299920 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137272768655299920's digits is 90
- More coming soon!
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"Number 137272768655299920 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 137272768655299920 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/137272768655299920/
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Numbermatics. 2024. "Number 137272768655299920 - Facts about the integer". https://numbermatics.com/n/137272768655299920/
The information we have on file for 137272768655299920 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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