101713974414448032

Names of 101713974414448032

• Cardinal: 101713974414448032 can be written as One hundred one quadrillion, seven hundred thirteen trillion, nine hundred seventy-four billion, four hundred fourteen million, four hundred forty-eight thousand and thirty-two.

Scientific notation

• Scientific notation: 1.01713974414448032 × 10¹⁷

Factors of 101713974414448032

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 20108952121

Divisors of 101713974414448032

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 193 208 224 234 252 273 288 312 336 364 386 416 468 504 546 579 624 672 728 772 819 936 1008 1092 1158 1248 1351 1456 1544 1638 1737 1872 2016 2184 2316 2509 2702 2912 3088 3276 3474 3744 4053 4368 4632 5018 5404 6176 6552 6948 7527 8106 8736 9264 10036 10808 12159 13104 13896 15054 16212 17563 18528 20072 21616 22581 24318 26208 27792 30108 32424 35126 40144 43232 45162 48636 52689 55584 60216 64848 70252 80288 90324 97272 105378 120432 129696 140504 158067 180648 194544 210756 240864 281008 316134 361296 389088 421512 562016 632268 722592 843024 1264536 1686048 2529072 5058144 20108951903 40217903806 60326855709 80435807612 120653711418 140762663321 160871615224 180980567127 241307422836 261416374739 281525326642 321743230448 361961134254 422287989963 482614845672 522832749478 563050653284 643486460896 723922268508 784249124217 844575979926 965229691344 1045665498956 1126101306568 1266863969889 1447844537016 1568498248434 1689151959852 1829914623173 1930459382688 2091330997912 2252202613136 2352747372651 2533727939778 2895689074032 3136996496868 3378303919704 3659829246346 3881027717279 4182661995824 4504405226272 4705494745302 5067455879556 5489743869519 5791378148064 6273992993736 6756607839408 7319658492692 7762055434558 8365323991648 9410989490604 10134911759112 10979487739038 11643083151837 12547985987472 13513215678816 14639316985384 15524110869116 16469231608557 18821978981208 20269823518224 21958975478076 23286166303674 25095971974944 27167194020953 29278633970768 31048221738232 32938463217114 34929249455511 37643957962416 40539647036448 43917950956152 46572332607348 50453360324627 54334388041906 58557267941536 62096443476464 65876926434228 69858498911022 75287915924832 81501582062859 87835901912304 93144665214696 100906720649254 108668776083812 124192886952928 131753852868456 139716997822044 151360080973881 163003164125718 175671803824608 186289330429392 201813441298508 217337552167624 244504746188577 263507705736912 279433995644088 302720161947762 326006328251436 353173522272389 372578660858784 403626882597016 434675104335248 454080242921643 489009492377154 527015411473824 558867991288176 605440323895524 652012656502872 706347044544778 807253765194032 869350208670496 908160485843286 978018984754308 1059520566817167 1117735982576352 1210880647791048 1304025313005744 1412694089089556 1614507530388064 1816320971686572 1956037969508616 2119041133634334 2421761295582096 2608050626011488 2825388178179112 3178561700451501 3632641943373144 3912075939017232 4238082267268668 4843522591164192 5650776356358224 6357123400903002 7265283886746288 7824151878034464 8476164534537336 11301552712716448 12714246801806004 14530567773492576 16952329069074672 25428493603612008 33904658138149344 50856987207224016 101713974414448032
• Sum of all divisors σ(n): 357843464408521728
• Sum of proper divisors (its aliquot sum) s(n): 256129489994073696
• 101713974414448032 is an abundant number, because the sum of its proper divisors (256129489994073696) is greater than itself. Its abundance is 154415515579625664

Bases of 101713974414448032

• Binary: 101101001010111000101001000100001101010101001010110100000₂
• Hexadecimal: 0x1695C5221AA95A0
• Base-36: RTILERXD7S0

Squares and roots of 101713974414448032

• 101713974414448032 squared (101713974414448032²) is 10345732591182988874165507228673024
• 101713974414448032 cubed (101713974414448032³) is 1052305580078307671603209964729850130842684768288768
• The square root of 101713974414448032 is 318926283.6682609199
• The cube root of 101713974414448032 is 466795.7301294323

Scales and comparisons

• 101,713,974,414,448,032 seconds is equal to 3,234,189,764 years, 20 weeks, 5 days, 7 hours, 7 minutes, 12 seconds.
• To count from 1 to 101,713,974,414,448,032 would take you about nine billion, seven hundred two million, five hundred sixty-nine thousand, two hundred ninety-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 101713974414448032 cubic inches would be around 38899.6 feet tall.

Recreational maths with 101713974414448032

• 101713974414448032 backwards is 230844414479317101
• 101713974414448032 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 101713974414448032's digits is 63
• More coming soon!