107148014688

Names of 107148014688

• Cardinal: 107148014688 can be written as One hundred seven billion, one hundred forty-eight million, fourteen thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 1.07148014688 × 10¹¹

Factors of 107148014688

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 730

Divisors of 107148014688

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 83 88 96 104 132 143 156 166 176 208 249 264 271 286 312 332 347 352 416 429 498 528 542 572 624 664 694 813 858 913 996 1041 1056 1079 1084 1144 1248 1328 1388 1626 1716 1826 1992 2082 2158 2168 2288 2656 2739 2776 2981 3237 3252 3432 3523 3652 3817 3984 4164 4316 4336 4511 4576 5478 5552 5962 6474 6504 6864 7046 7304 7634 7968 8328 8632 8672 8943 9022 10569 10956 11104 11451 11869 11924 12948 13008 13533 13728 14092 14608 15268 16656 17264 17886 18044 21138 21912 22493 22902 23738 23848 25896 26016 27066 28184 28801 29216 30536 33312 34528 35607 35772 36088 38753 42276 43824 44986 45804 47476 47696 49621 51792 54132 56368 57602 61072 67479 71214 71544 72176 77506 84552 86403 87648 89972 91608 94037 94952 95392 99242 103584 108264 112736 115204 116259 122144 134958 142428 143088 144352 148863 155012 169104 172806 179944 183216 188074 189904 198484 216528 230408 232518 247423 269916 282111 284856 286176 292409 297726 310024 316811 338208 345612 359888 366432 374413 376148 379808 396968 433056 460816 465036 494846 539832 564222 569712 584818 595452 620048 633622 691224 719776 742269 748826 752296 793936 877227 921632 930072 950433 989692 1034407 1079664 1123239 1128444 1139424 1169636 1190904 1222481 1240096 1267244 1382448 1484538 1497652 1504592 1587872 1754454 1860144 1900866 1979384 2068814 2159328 2246478 2256888 2339272 2381808 2444962 2534488 2764896 2969076 2995304 3009184 3103221 3216499 3508908 3667443 3720288 3801732 3958768 4118543 4137628 4492956 4513776 4678544 4763616 4889924 5068976 5938152 5990608 6206442 6432998 7017816 7334886 7603464 7805071 7917536 8237086 8275256 8985912 9027552 9357088 9649497 9779848 10137952 11876304 11981216 12355629 12412884 12865996 13447291 14035632 14669772 15206928 15610142 16474172 16550512 17971824 19298994 19559696 23415213 23752608 24711258 24825768 25731992 26894582 28071264 29339544 30413856 31220284 32948344 33101024 35943648 38597988 39119392 40341873 46830426 49422516 49651536 51463984 53789164 58679088 62440568 65896688 77195976 80683746 85855781 93660852 98845032 99303072 101465923 102927968 107578328 117358176 124881136 131793376 154391952 161367492 171711562 187321704 197690064 202931846 215156656 249762272 257567343 304397769 308783904 322734984 343423124 374643408 395380128 405863692 430313312 515134686 608795538 645469968 686846248 749286816 811727384 1030269372 1116125153 1217591076 1290939936 1373692496 1623454768 2060538744 2232250306 2435182152 2747384992 3246909536 3348375459 4121077488 4464500612 4870364304 6696750918 8242154976 8929001224 9740728608 13393501836 17858002448 26787003672 35716004896 53574007344 107148014688
• Sum of all divisors σ(n): 336617938944
• Sum of proper divisors (its aliquot sum) s(n): 229469924256
• 107148014688 is an abundant number, because the sum of its proper divisors (229469924256) is greater than itself. Its abundance is 122321909568

Bases of 107148014688

• Binary: 1100011110010100001001111010001100000₂
• Hexadecimal: 0x18F284F460
• Base-36: 1D815T9C

Squares and roots of 107148014688

• 107148014688 squared (107148014688²) is 11480697051579863737344
• 107148014688 cubed (107148014688³) is 1230133896311157533333973486108672
• The square root of 107148014688 is 327334.7135395207
• The cube root of 107148014688 is 4749.6474669189

Scales and comparisons

• 107,148,014,688 seconds is equal to 3,406 years, 50 weeks, 5 days, 1 hour, 24 minutes, 48 seconds.
• To count from 1 to 107,148,014,688 would take you about six thousand, eight hundred thirteen 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 107148014688 cubic inches would be around 395.8 feet tall.

Recreational maths with 107148014688

• 107148014688 backwards is 886410841701
• 107148014688 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 107148014688's digits is 48
• More coming soon!