137541333813952512

Names of 137541333813952512

• Cardinal: 137541333813952512 can be written as One hundred thirty-seven quadrillion, five hundred forty-one trillion, three hundred thirty-three billion, eight hundred thirteen million, nine hundred fifty-two thousand, five hundred twelve.

Scientific notation

• Scientific notation: 1.37541333813952512 × 10¹⁷

Factors of 137541333813952512

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 38554

Divisors of 137541333813952512

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 307 346 384 512 519 614 692 768 921 1024 1038 1228 1384 1536 1842 2048 2076 2456 2768 3072 3684 4096 4152 4912 5536 6144 7368 8192 8304 9824 11072 12288 14736 16384 16608 19648 22144 24576 29472 29929 32768 33216 38069 39296 44288 49152 53111 58944 59858 65536 66432 76138 78592 88576 89787 98304 106222 114207 117888 119716 131072 132864 152276 157184 159333 177152 179574 196608 212444 228414 235776 239432 265728 304552 314368 318666 354304 359148 393216 424888 456828 471552 478864 531456 609104 628736 637332 708608 718296 849776 913656 943104 957728 1062912 1218208 1257472 1274664 1417216 1436592 1699552 1827312 1886208 1915456 2125824 2436416 2514944 2549328 2834432 2873184 3399104 3654624 3772416 3830912 4251648 4872832 5029888 5098656 5668864 5746368 6585937 6798208 7309248 7544832 7661824 8503296 9188203 9745664 10059776 10197312 11337728 11492736 11687183 13171874 13596416 14618496 15089664 15323648 17006592 18376406 19491328 19757811 20119552 20394624 22675456 22985472 23374366 26343748 27192832 27564609 29236992 30179328 30647296 34013184 35061549 36752812 38982656 39515622 40239104 40789248 45970944 46748732 52687496 54385664 55129218 58473984 60358656 61294592 68026368 70123098 73505624 77965312 79031244 81578496 91941888 93497464 105374992 108771328 110258436 116947968 120717312 122589184 140246196 147011248 155930624 158062488 163156992 183883776 186994928 210749984 217542656 220516872 233895936 245178368 280492392 294022496 311861248 316124976 326313984 367767552 373989856 421499968 435085312 441033744 467791872 490356736 560984784 588044992 623722496 632249952 652627968 735535104 747979712 842999936 870170624 882067488 935583744 980713472 1121969568 1139367101 1176089984 1247444992 1264499904 1305255936 1471070208 1495959424 1685999872 1740341248 1764134976 1871167488 1961426944 2021882659 2243939136 2278734202 2352179968 2494889984 2528999808 2610511872 2942140416 2991918848 3371999744 3418101303 3480682496 3528269952 3742334976 3922853888 4043765318 4487878272 4557468404 4704359936 4989779968 5057999616 5221023744 5884280832 5983837696 6065647977 6743999488 6836202606 6961364992 7056539904 7484669952 8087530636 8975756544 9114936808 9408719872 10115999232 10442047488 11768561664 11967675392 12131295954 13487998976 13672405212 14113079808 14969339904 16175061272 17951513088 18229873616 18817439744 20231998464 20884094976 23935350784 24262591908 26975997952 27344810424 28226159616 32350122544 35903026176 36459747232 37634879488 40463996928 47870701568 48525183816 53951995904 54689620848 56452319232 64700245088 71806052352 72919494464 75269758976 80927993856 95741403136 97050367632 107903991808 109379241696 112904638464 129400490176 143612104704 145838988928 150539517952 161855987712 191482806272 194100735264 215807983616 218758483392 225809276928 258800980352 287224209408 291677977856 301079035904 323711975424 349785700007 382965612544 388201470528 431615967232 437516966784 451618553856 517601960704 574448418816 583355955712 602158071808 647423950848 699571400014 765931225088 776402941056 863231934464 875033933568 903237107712 1035203921408 1049357100021 1148896837632 1166711911424 1204316143616 1294847901696 1399142800028 1531862450176 1552805882112 1750067867136 1806474215424 2070407842816 2098714200042 2297793675264 2333423822848 2589695803392 2798285600056 3105611764224 3500135734272 3612948430848 4140815685632 4197428400084 4595587350528 4666847645696 5596571200112 6211223528448 7000271468544 8281631371264 8394856800168 9333695291392 11193142400224 12422447056896 14000542937088 16563262742528 16789713600336 18667390582784 22386284800448 24844894113792 28001085874176 33126525485056 33579427200672 37334781165568 44772569600896 49689788227584 56002171748352 66253050970112 67158854401344 74669562331136 89545139201792 99379576455168 112004343496704 132506101940224 134317708802688 149339124662272 179090278403584 198759152910336 224008686993408 265012203880448 268635417605376 358180556807168 397518305820672 448017373986816 537270835210752 716361113614336 795036611641344 1074541670421504 1432722227228672 2149083340843008 2865444454457344 4298166681686016 5730888908914688 8596333363372032 11461777817829376 17192666726744064 22923555635658752 34385333453488128 45847111271317504 68770666906976256 137541333813952512
• Sum of all divisors σ(n): 370119211681332960
• Sum of proper divisors (its aliquot sum) s(n): 232577877867380448
• 137541333813952512 is an abundant number, because the sum of its proper divisors (232577877867380448) is greater than itself. Its abundance is 95036544053427936

Bases of 137541333813952512

• Binary: 111101000101001010001110101000111111010100000000000000000₂
• Hexadecimal: 0x1E8A51D47EA0000
• Base-36: 11MAC0GSTP1C

Squares and roots of 137541333813952512

• 137541333813952512 squared (137541333813952512²) is 18917618507321116660875683791110144
• 137541333813952512 cubed (137541333813952512³) is 2601954482080459749677063792680597697073736977481728
• The square root of 137541333813952512 is 370865654.6701952449
• The cube root of 137541333813952512 is 516191.7714245183

Scales and comparisons

• 137,541,333,813,952,512 seconds is equal to 4,373,388,972 years, 1 day, 15 hours, 15 minutes, 12 seconds.
• To count from 1 to 137,541,333,813,952,512 would take you about thirteen billion, one hundred twenty million, one hundred sixty-six thousand, nine hundred sixteen 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 137541333813952512 cubic inches would be around 43016 feet tall.

Recreational maths with 137541333813952512

• 137541333813952512 backwards is 215259318333145731
• The number of decimal digits it has is: 18
• The sum of 137541333813952512's digits is 66
• More coming soon!