137564640208240128
137,564,640,208,240,128 is an even composite number composed of five prime numbers multiplied together.
What does the number 137564640208240128 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2160 divisors.
137564640208240128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 137564640208240128:
29 × 33 × 135 × 312 × 1672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 13 × 13 × 13 × 31 × 31 × 167 × 167)See below for interesting mathematical facts about the number 137564640208240128 from the Numbermatics database.
Names of 137564640208240128
- Cardinal: 137564640208240128 can be written as One hundred thirty-seven quadrillion, five hundred sixty-four trillion, six hundred forty billion, two hundred eight million, two hundred forty thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37564640208240128 × 1017
Factors of 137564640208240128
Divisors of 137564640208240128
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 48 52 54 62 64 72 78 93 96 104 108 117 124 128 144 156 167 169 186 192 208 216 234 248 256 279 288 312 334 338 351 372 384 403 416 432 468 496 501 507 512 558 576 624 668 676 702 744 768 806 832 837 864 936 961 992 1002 1014 1116 1152 1209 1248 1336 1352 1404 1488 1503 1521 1536 1612 1664 1674 1728 1872 1922 1984 2004 2028 2171 2197 2232 2304 2418 2496 2672 2704 2808 2883 2976 3006 3042 3224 3328 3348 3456 3627 3744 3844 3968 4008 4056 4342 4394 4464 4509 4563 4608 4836 4992 5177 5239 5344 5408 5616 5766 5952 6012 6084 6448 6513 6591 6656 6696 6912 7254 7488 7688 7936 8016 8112 8649 8684 8788 8928 9018 9126 9672 9984 10354 10478 10688 10816 10881 11232 11532 11904 12024 12168 12493 12896 13026 13182 13392 13824 14508 14976 15376 15531 15717 15872 16032 16224 17298 17368 17576 17856 18036 18252 19344 19539 19773 19968 20708 20956 21376 21632 21762 22464 23064 23808 24048 24336 24986 25792 25947 26052 26364 26784 27889 28223 28561 29016 29952 30752 31062 31434 32064 32448 34596 34736 35152 35712 36072 36504 37479 38688 39078 39546 41416 41912 42752 43264 43524 44928 46128 46593 47151 47616 48096 48672 49972 51584 51894 52104 52728 53568 55778 56446 57122 58032 58617 59319 59904 61504 62124 62868 64128 64896 67301 68107 69192 69472 70304 71424 72144 73008 74958 77376 78156 79092 82832 83667 83824 84669 85504 85683 86528 87048 89856 92256 93186 94302 96192 97344 99944 103168 103788 104208 105456 107136 111556 112437 112892 114244 116064 117234 118638 123008 124248 125736 128256 129792 134602 136214 138384 138944 139779 140608 141453 142848 144288 146016 149916 154752 156312 158184 160487 162409 165664 167334 167648 169338 171366 174096 179712 184512 186372 188604 192384 194688 199888 201903 204321 206336 207576 208416 210912 214272 223112 224874 225784 228488 232128 234468 237276 246016 248496 251001 251472 254007 256512 257049 259584 269204 272428 276768 277888 279558 281216 282906 288576 292032 299832 309504 312624 316368 320974 324818 331328 334668 335296 337311 338676 342732 348192 362557 366899 369024 371293 372744 377208 384768 389376 399776 403806 408642 415152 416832 421824 428544 446224 449748 451568 456976 464256 468936 474552 481461 487227 492032 496992 502002 502944 508014 514098 538408 544856 553536 555776 559116 562432 565812 577152 584064 599664 605709 612963 619008 625248 632736 641948 649636 662656 669336 670592 674622 677352 685464 696384 725114 733798 738048 742586 745488 753003 754416 762021 769536 771147 778752 799552 807612 817284 830304 833664 843648 864559 874913 885391 892448 899496 903136 913952 928512 937872 949104 962922 974454 993984 1004004 1005888 1016028 1028196 1076816 1087671 1089712 1100697 1107072 1111552 1113879 1118232 1124864 1131624 1154304 1168128 1199328 1211418 1225926 1250496 1265472 1283896 1299272 1325312 1338672 1341184 1349244 1354704 1370928 1392768 1444383 1450228 1461681 1467596 1476096 1485172 1490976 1506006 1508832 1524042 1542294 1599104 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41088602212736 41335528908726 42668933067072 45221775216384 45763353362688 46224677489328 47715796118016 48990256484416 50874497118432 51483772533024 55114038544968 56891910756096 59706875090382 61632903319104 62614765684224 63364643117568 67832662824576 68645030044032 69337016233992 71573694177024 73485384726624 79609166787176 82177204425472 82671057817452 85337866134144 89560312635573 90443550432768 91526706725376 92449354978656 97980512968832 101748994236864 102967545066048 110228077089936 113783821512192 119413750180764 123265806638208 135665325649152 137290060088064 138674032467984 143147388354048 146970769453248 159218333574352 164354408850944 165342115634904 170675732268288 179120625271146 184898709957312 195961025937664 203497988473728 205935090132096 220456154179872 238827500361528 246531613276416 268680937906719 271330651298304 274580120176128 277348064935968 293941538906496 318436667148704 330684231269808 341351464536576 358241250542292 369797419914624 391922051875328 406995976947456 411870180264192 440912308359744 477655000723056 493063226552832 537361875813438 554696129871936 587883077812992 636873334297408 661368462539616 716482501084584 739594839829248 813991953894912 823740360528384 881824616719488 955310001446112 1074723751626876 1109392259743872 1175766155625984 1273746668594816 1322736925079232 1432965002169168 1479189679658496 1763649233438976 1910620002892224 2149447503253752 2218784519487744 2547493337189632 2645473850158464 2865930004338336 3527298466877952 3821240005784448 4298895006507504 4437569038975488 5094986674379264 5290947700316928 5731860008676672 7642480011568896 8597790013015008 10581895400633856 11463720017353344 15284960023137792 17195580026030016 22927440034706688 34391160052060032 45854880069413376 68782320104120064 137564640208240128
- Sum of all divisors σ(n): 458569201809383280
- Sum of proper divisors (its aliquot sum) s(n): 321004561601143152
- 137564640208240128 is an abundant number, because the sum of its proper divisors (321004561601143152) is greater than itself. Its abundance is 183439921392903024
Bases of 137564640208240128
- Binary: 1111010001011101001001111101110010100010000111110000000002
- Hexadecimal: 0x1E8BA4FB9443E00
- Base-36: 11MILF9Y8AO0
Squares and roots of 137564640208240128
- 137564640208240128 squared (1375646402082401282) is 18924030235622556527111790909456384
- 137564640208240128 cubed (1375646402082401283) is 2603277410653274643073695087107634869956193814577152
-
The
square root of 137564640208240128 is 370897074.9523917829 -
The
cube root of 137564640208240128 is 516220.9260288255
Scales and comparisons
How big is 137564640208240128?- 137,564,640,208,240,128 seconds is equal to 4,374,130,043 years, 13 weeks, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 137,564,640,208,240,128 would take you about thirteen billion, one hundred twenty-two million, three hundred ninety thousand, one hundred twenty-nine 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 137564640208240128 cubic inches would be around 43018.4 feet tall.
Recreational maths with 137564640208240128
- 137564640208240128 backwards is 821042802046465731
- The number of decimal digits it has is: 18
- The sum of 137564640208240128's digits is 63
- More coming soon!
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"Number 137564640208240128 - Facts about the integer". Numbermatics.com. 2024. Web. 30 May 2024.
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Numbermatics. (2024). Number 137564640208240128 - Facts about the integer. Retrieved 30 May 2024, from https://numbermatics.com/n/137564640208240128/
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The information we have on file for 137564640208240128 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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