137102134034792448

Names of 137102134034792448

• Cardinal: 137102134034792448 can be written as One hundred thirty-seven quadrillion, one hundred two trillion, one hundred thirty-four billion, thirty-four million, seven hundred ninety-two thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 1.37102134034792448 × 10¹⁷

Factors of 137102134034792448

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 178

Divisors of 137102134034792448

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 173 192 216 256 288 346 384 432 512 519 576 692 768 864 1024 1038 1152 1384 1536 1557 1728 2048 2076 2304 2768 3072 3114 3456 4096 4152 4608 4671 5536 6144 6228 6912 8192 8304 9216 9342 11072 12288 12456 13824 16384 16608 18432 18684 22144 24576 24912 27648 29929 32768 33216 36864 37368 44288 49152 49824 55296 59858 66432 73728 74736 88576 89787 98304 99648 110592 119716 132864 147456 149472 177152 179574 199296 221184 239432 265728 269361 294912 298944 354304 359148 398592 442368 478864 531456 538722 597888 708608 718296 797184 808083 884736 957728 1062912 1077444 1195776 1417216 1436592 1594368 1616166 1915456 2125824 2154888 2391552 2834432 2873184 3188736 3232332 3830912 4251648 4309776 4783104 5177717 5668864 5746368 6377472 6464664 7661824 8503296 8619552 9566208 10355434 11492736 12754944 12929328 15323648 15533151 17006592 17239104 19132416 20710868 22985472 25509888 25858656 30647296 31066302 34478208 38264832 41421736 45970944 46599453 51019776 51717312 61294592 62132604 68956416 76529664 82843472 91941888 93198906 103434624 122589184 124265208 137912832 139798359 153059328 165686944 183883776 186397812 206869248 245178368 248530416 275825664 279596718 331373888 367767552 372795624 413738496 490356736 497060832 551651328 559193436 662747776 735535104 745591248 827476992 895745041 980713472 994121664 1103302656 1118386872 1325495552 1471070208 1491182496 1654953984 1791490082 1988243328 2206605312 2236773744 2650991104 2687235123 2942140416 2982364992 3309907968 3582980164 3976486656 4413210624 4473547488 5301982208 5374470246 5964729984 6619815936 7165960328 7952973312 8061705369 8826421248 8947094976 10603964416 10748940492 11929459968 13239631872 14331920656 15905946624 16123410738 17894189952 21207928832 21497880984 23858919936 24185116107 26479263744 28663841312 31811893248 32246821476 35788379904 42415857664 42995761968 47717839872 48370232214 57327682624 63623786496 64493642952 71576759808 84831715328 85991523936 95435679744 96740464428 114655365248 127247572992 128987285904 143153519616 154963892093 169663430656 171983047872 190871359488 193480928856 229310730496 254495145984 257974571808 286307039232 309927784186 343966095744 381742718976 386961857712 458621460992 464891676279 508990291968 515949143616 572614078464 619855568372 687932191488 763485437952 773923715424 917242921984 929783352558 1031898287232 1145228156928 1239711136744 1375864382976 1394675028837 1526970875904 1547847430848 1834485843968 1859566705116 2063796574464 2290456313856 2479422273488 2751728765952 2789350057674 3095694861696 3668971687936 3719133410232 4127593148928 4184025086511 4580912627712 4958844546976 5503457531904 5578700115348 6191389723392 7337943375872 7438266820464 8255186297856 8368050173022 9917689093952 11006915063808 11157400230696 12382779446784 14675886751744 14876533640928 16510372595712 16736100346044 19835378187904 22013830127616 22314800461392 24765558893568 29351773503488 29753067281856 33020745191424 33472200692088 39670756375808 44027660255232 44629600922784 49531117787136 59506134563712 66041490382848 66944401384176 79341512751616 88055320510464 89259201845568 99062235574272 119012269127424 132082980765696 133888802768352 158683025503232 178518403691136 198124471148544 238024538254848 264165961531392 267777605536704 317366051006464 357036807382272 396248942297088 476049076509696 535555211073408 634732102012928 714073614764544 792497884594176 952098153019392 1071110422146816 1269464204025856 1428147229529088 1904196306038784 2142220844293632 2538928408051712 2856294459058176 3808392612077568 4284441688587264 5077856816103424 5712588918116352 7616785224155136 8568883377174528 11425177836232704 15233570448310272 17137766754349056 22850355672465408 34275533508698112 45700711344930816 68551067017396224 137102134034792448
• Sum of all divisors σ(n): 408584104562415600
• Sum of proper divisors (its aliquot sum) s(n): 271481970527623152
• 137102134034792448 is an abundant number, because the sum of its proper divisors (271481970527623152) is greater than itself. Its abundance is 134379836492830704

Bases of 137102134034792448

• Binary: 111100111000101011010101000011101000101111000000000000000₂
• Hexadecimal: 0x1E715AA1D178000
• Base-36: 11HYNEVG45C0

Squares and roots of 137102134034792448

• 137102134034792448 squared (137102134034792448²) is 18796995156894193736978578437832704
• 137102134034792448 cubed (137102134034792448³) is 2577108149451852250101690893209002920802551586619392
• The square root of 137102134034792448 is 370273053.3468408475
• The cube root of 137102134034792448 is 515641.7475449549

Scales and comparisons

• 137,102,134,034,792,448 seconds is equal to 4,359,423,777 years, 29 weeks, 1 day, 7 hours, 40 minutes, 48 seconds.
• To count from 1 to 137,102,134,034,792,448 would take you about thirteen billion, seventy-eight million, two hundred seventy-one thousand, three hundred thirty-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 137102134034792448 cubic inches would be around 42970.1 feet tall.

Recreational maths with 137102134034792448

• 137102134034792448 backwards is 844297430431201731
• The number of decimal digits it has is: 18
• The sum of 137102134034792448's digits is 63
• More coming soon!