131071106016

Names of 131071106016

• Cardinal: 131071106016 can be written as One hundred thirty-one billion, seventy-one million, one hundred six thousand and sixteen.

Scientific notation

• Scientific notation: 1.31071106016 × 10¹¹

Factors of 131071106016

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 168

Divisors of 131071106016

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 61 72 76 83 96 108 114 122 144 152 166 171 183 216 228 244 249 288 304 332 342 361 366 432 456 488 498 513 549 608 664 684 722 732 747 864 912 976 996 1026 1083 1098 1159 1328 1368 1444 1464 1494 1577 1647 1824 1952 1992 2052 2166 2196 2241 2318 2656 2736 2888 2928 2988 3154 3249 3294 3477 3984 4104 4332 4392 4482 4636 4731 5063 5472 5776 5856 5976 6308 6498 6588 6889 6954 7968 8208 8664 8784 8964 9272 9462 9747 10126 10431 11552 11952 12616 12996 13176 13778 13908 14193 15189 16416 17328 17568 17928 18544 18924 19494 20252 20667 20862 22021 23904 25232 25992 26352 27556 27816 28386 29963 30378 31293 34656 35856 37088 37848 38988 40504 41334 41724 42579 44042 45567 50464 51984 52704 55112 55632 56772 59926 60756 62001 62586 66063 71712 75696 77976 81008 82668 83448 85158 88084 89889 91134 96197 103968 110224 111264 113544 119852 121512 124002 125172 130891 132126 136701 151392 155952 162016 165336 166896 170316 176168 179778 182268 186003 192394 198189 220448 227088 239704 243024 248004 250344 261782 264252 269667 273402 288591 311904 330672 333792 340632 352336 359556 364536 372006 384788 392673 396378 420229 454176 479408 486048 496008 500688 523564 528504 539334 546804 577182 594567 661344 681264 704672 719112 729072 744012 769576 785346 792756 809001 840458 865773 958816 992016 1001376 1047128 1057008 1078668 1093608 1154364 1178019 1189134 1260687 1362528 1438224 1458144 1488024 1539152 1570692 1585512 1618002 1680916 1731546 1827743 1984032 2094256 2114016 2157336 2187216 2308728 2356038 2378268 2486929 2521374 2597319 2876448 2976048 3078304 3141384 3171024 3236004 3361832 3463092 3534057 3655486 3782061 4188512 4314672 4374432 4617456 4712076 4756536 4973858 5042748 5194638 5483229 5952096 6282768 6342048 6472008 6723664 6926184 7068114 7310972 7460787 7564122 7984351 8629344 9234912 9424152 9513072 9947716 10085496 10389276 10966458 11346183 12565536 12944016 13447328 13852368 14136228 14621944 14921574 15128244 15968702 16449687 18848304 19026144 19895432 20170992 20778552 21932916 22382361 22692366 23953053 25888032 27704736 28272456 29243888 29843148 30256488 31937404 32899374 37696608 39790864 40341984 41557104 43865832 44764722 45384732 47906106 49349061 56544912 58487776 59686296 60512976 63874808 65798748 67147083 71859159 79581728 83114208 87731664 89529444 90769464 95812212 98698122 113089824 119372592 121025952 127749616 131597496 134294166 143718318 151702669 175463328 179058888 181538928 191624424 197396244 215577477 238745184 255499232 263194992 268588332 287436636 303405338 358117776 363077856 383248848 394792488 431154954 455108007 526389984 537176664 574873272 606810676 716235552 766497696 789584976 862309908 910216014 1074353328 1149746544 1213621352 1365324021 1579169952 1724619816 1820432028 2148706656 2299493088 2427242704 2730648042 3449239632 3640864056 4095972063 4854485408 5461296084 6898479264 7281728112 8191944126 10922592168 14563456224 16383888252 21845184336 32767776504 43690368672 65535553008 131071106016
• Sum of all divisors σ(n): 415084839120
• Sum of proper divisors (its aliquot sum) s(n): 284013733104
• 131071106016 is an abundant number, because the sum of its proper divisors (284013733104) is greater than itself. Its abundance is 152942627088

Bases of 131071106016

• Binary: 1111010000100011100100101101111100000₂
• Hexadecimal: 0x1E84725BE0
• Base-36: 1O7OCOO0

Squares and roots of 131071106016

• 131071106016 squared (131071106016²) is 17179634832257511392256
• 131071106016 cubed (131071106016³) is 2251753738414990652306713937412096
• The square root of 131071106016 is 362037.4373127729
• The cube root of 131071106016 is 5079.6718175159

Scales and comparisons

• 131,071,106,016 seconds is equal to 4,167 years, 34 weeks, 16 hours, 33 minutes, 36 seconds.
• To count from 1 to 131,071,106,016 would take you about eight thousand, three hundred thirty-five 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 131071106016 cubic inches would be around 423.3 feet tall.

Recreational maths with 131071106016

• 131071106016 backwards is 610601170131
• 131071106016 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 131071106016's digits is 27
• More coming soon!