137934443198756864

Names of 137934443198756864

• Cardinal: 137934443198756864 can be written as One hundred thirty-seven quadrillion, nine hundred thirty-four trillion, four hundred forty-three billion, one hundred ninety-eight million, seven hundred fifty-six thousand, eight hundred sixty-four.

Scientific notation

• Scientific notation: 1.37934443198756864 × 10¹⁷

Factors of 137934443198756864

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 66

Divisors of 137934443198756864

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 8 11 16 22 32 44 53 64 88 106 121 128 176 212 242 256 352 424 484 512 583 704 848 968 1024 1166 1331 1408 1696 1936 2048 2332 2662 2809 2816 3392 3872 4664 5324 5618 5632 6413 6784 7744 9328 10648 11236 11264 12826 13568 14641 15488 18656 21296 22472 22528 25652 27136 29282 30899 30976 37312 42592 44944 51304 54272 58564 61798 61952 70543 74624 85184 89888 102608 108544 117128 123596 123904 141086 148877 149248 161051 170368 179776 205216 234256 247192 247808 282172 297754 298496 322102 339889 340736 359552 410432 468512 494384 564344 595508 596992 644204 679778 681472 719104 775973 820864 937024 988768 1128688 1191016 1193984 1288408 1359556 1362944 1438208 1551946 1637647 1641728 1874048 1977536 2257376 2382032 2576816 2719112 2725888 2876416 3103892 3275294 3283456 3738779 3748096 3955072 4514752 4764064 5153632 5438224 5752832 6207784 6550588 6566912 7477558 7496192 7890481 7910144 8535703 9029504 9528128 10307264 10876448 12415568 13101176 13133824 14955116 14992384 15780962 15820288 17071406 18014117 18059008 19056256 20614528 21752896 24831136 26202352 29910232 29984768 31561924 31640576 34142812 36028234 36118016 38112512 41126569 41229056 43505792 49662272 52404704 59820464 63123848 63281152 68285624 72056468 72236032 76225024 82253138 82458112 86795291 87011584 99324544 104809408 119640928 126247696 136571248 144112936 144472064 152450048 164506276 164916224 173590582 174023168 198155287 198649088 209618816 239281856 252495392 273142496 288225872 304900096 329012552 329832448 347181164 348046336 396310574 397298176 418195493 419237632 452392259 478563712 504990784 546284992 576451744 658025104 694362328 696092672 792621148 794596352 836390986 838475264 904784518 954748201 957127424 1009981568 1092569984 1152903488 1316050208 1388724656 1585242296 1589192704 1672781972 1676950528 1809569036 1909496402 1914254848 2019963136 2179708157 2185139968 2305806976 2632100416 2777449312 3170484592 3345563944 3353901056 3619138072 3818992804 3828509696 4039926272 4359416314 4370279936 4600150423 4611613952 5264200832 5554898624 6340969184 6691127888 7238276144 7637985608 7657019392 8079852544 8718832628 8740559872 9200300846 9223227904 10502230211 10528401664 11109797248 12681938368 13382255776 14476552288 15275971216 16159705088 17437665256 17481119744 18400601692 18446455808 21004460422 21056803328 22219594496 23976789727 25363876736 26764511552 28953104576 30551942432 34875330512 36801203384 36892911616 42008920844 42113606656 44439188992 47953579454 50601654653 50727753472 53529023104 57906209152 61103884864 69750661024 73602406768 84017841688 84227213312 88878377984 95907158908 101203309306 101455506944 107058046208 115524532321 115812418304 122207769728 139501322048 147204813536 168035683376 177756755968 191814317816 202406618612 202911013888 214116092416 231049064642 231624836608 244415539456 279002644096 294409627072 336071366752 383628635632 404813237224 405822027776 428232184832 462098129284 463249673216 488831078912 556618201183 558005288192 588819254144 672142733504 767257271264 809626474448 856464369664 924196258568 926499346432 977662157824 1113236402366 1116010576384 1177638508288 1270769855531 1344285467008 1534514542528 1619252948896 1848392517136 1955324315648 2226472804732 2232021152768 2355277016576 2541539711062 2688570934016 3069029085056 3238505897792 3696785034272 4452945609464 4464042305536 4710554033152 5083079422124 5377141868032 6122800213013 6138058170112 6477011795584 7393570068544 8905891218928 9421108066304 10166158844248 10754283736064 12245600426026 12276116340224 12954023591168 14787140137088 17811782437856 20332317688496 21508567472128 24491200852052 24552232680448 25908047182336 29574280274176 35623564875712 40664635376992 48982401704104 49104465360896 51816094364672 59148560548352 67350802343143 71247129751424 81329270753984 97964803408208 103632188729344 118297121096704 134701604686286 142494259502848 162658541507968 195929606816416 236594242193408 269403209372572 284988519005696 325317083015936 391859213632832 538806418745144 569977038011392 650634166031872 783718427265664 1077612837490288 1139954076022784 1301268332063744 1567436854531328 2155225674980576 2602536664127488 3134873709062656 4310451349961152 6269747418125312 8620902699922304 12539494836250624 17241805399844608 34483610799689216 68967221599378432 137934443198756864
• Sum of all divisors σ(n): 309215777849367480
• Sum of proper divisors (its aliquot sum) s(n): 171281334650610616
• 137934443198756864 is an abundant number, because the sum of its proper divisors (171281334650610616) is greater than itself. Its abundance is 33346891451853752

Bases of 137934443198756864

• Binary: 111101010000010101010010100110001001001110011100000000000₂
• Hexadecimal: 0x1EA0AA531273800
• Base-36: 11Q5OGFAR4ZK

Squares and roots of 137934443198756864

• 137934443198756864 squared (137934443198756864²) is 19025910620551083696037794987114496
• 137934443198756864 cubed (137934443198756864³) is 2624328387795028412344381905721831540099525633900544
• The square root of 137934443198756864 is 371395265.4501089141
• The cube root of 137934443198756864 is 516683.0826726029

Scales and comparisons

• 137,934,443,198,756,864 seconds is equal to 4,385,888,634 years, 24 weeks, 4 days, 13 hours, 47 minutes, 44 seconds.
• To count from 1 to 137,934,443,198,756,864 would take you about thirteen billion, one hundred fifty-seven million, six hundred sixty-five thousand, nine hundred 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 137934443198756864 cubic inches would be around 43056.9 feet tall.

Recreational maths with 137934443198756864

• 137934443198756864 backwards is 468657891344439731
• The number of decimal digits it has is: 18
• The sum of 137934443198756864's digits is 92
• More coming soon!