100131939016137

Names of 100131939016137

• Cardinal: 100131939016137 can be written as One hundred trillion, one hundred thirty-one billion, nine hundred thirty-nine million, sixteen thousand, one hundred thirty-seven.

Scientific notation

• Scientific notation: 1.00131939016137 × 10¹⁴

Factors of 100131939016137

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 86

Divisors of 100131939016137

• Number of divisors d(n): 400
• Complete list of divisors:
  1 3 7 9 21 23 27 49 53 63 69 81 147 159 161 189 207 243 343 371 441 477 483 529 567 621 729 1029 1113 1127 1219 1323 1431 1449 1587 1701 1863 2187 2597 3087 3339 3381 3657 3703 3969 4293 4347 4761 5103 5589 6561 7791 7889 8533 9261 10017 10143 10971 11109 11907 12167 12879 13041 14283 15309 16767 18179 19683 23373 23667 25599 25921 27783 28037 30051 30429 32913 33327 35721 36501 38637 39123 42849 45927 50301 54537 59731 70119 71001 76797 77763 83349 84111 85169 90153 91287 98739 99981 107163 109503 115911 117369 128547 137781 150903 163611 179193 181447 196259 210357 213003 230391 233289 250047 252333 255507 270459 273861 279841 296217 299943 321489 328509 347733 352107 385641 418117 452709 490833 537579 544341 588777 596183 631071 639009 644851 691173 699867 750141 756999 766521 811377 821583 839523 888651 899829 964467 985527 1043199 1056321 1156923 1254351 1373813 1472499 1612737 1633023 1766331 1788549 1893213 1917027 1934553 1958887 2073519 2099601 2250423 2270997 2299563 2434131 2464749 2518569 2665953 2699487 2956581 3168963 3470769 3763053 4121439 4173281 4417497 4513957 4838211 4899069 5298993 5365647 5679639 5751081 5803659 5876661 6220557 6298803 6751269 6812991 6898689 7302393 7394247 7555707 7997859 8098461 8869743 9616691 10412307 11289159 12364317 12519843 13252491 13541871 13712209 14514633 14697207 14831573 15896979 16096941 17038917 17253243 17410977 17629983 18661671 18896409 20438973 20696067 22182741 22667121 23993577 24295383 26609229 28850073 31597699 33867477 37092951 37559529 39757473 40625613 41136627 43543899 44091621 44494719 47690937 48290823 51116751 51759729 52232931 52889949 55985013 56689227 61316919 62088201 68001363 72886149 79827687 86550219 94793097 95985463 101602431 103821011 111278853 112678587 119272419 121876839 123409881 130631697 132274863 133484157 143072811 144872469 155279187 156698793 158669847 167955039 170067681 183950757 186264603 204004089 221183893 239483061 259650657 284379291 287956389 304807293 311463033 333836559 338035761 357817257 365630517 370229643 391895091 396824589 400452471 429218433 434617407 470096379 476009541 510203043 551852271 558793809 612012267 663551679 726747077 778951971 853137873 863869167 914421879 934389099 1001509677 1014107283 1096891551 1110688929 1175685273 1190473767 1201357413 1287655299 1303852221 1410289137 1428028623 1676381427 1836036801 1990655037 2180241231 2336855913 2559413619 2591607501 2743265637 2803167297 3004529031 3042321849 3290674653 3332066787 3571421301 3604072239 3862965897 3911556663 4230867411 4284085869 5087229539 5508110403 5971965111 6540723693 7010567739 7678240857 7774822503 8229796911 8409501891 9013587093 9126965547 9872023959 9996200361 10812216717 11734669989 12692602233 12852257607 15261688617 17915895333 19622171079 21031703217 23034722571 23324467509 25228505673 27040761279 27380896641 29616071877 29988601083 32436650151 38556772821 45785065851 53747685999 58866513237 63095109651 69104167713 69973402527 75685517019 82142689923 88848215631 89965803249 97309950453 137355197553 161243057997 176599539711 189285328953 207312503139 209920207581 227056551057 269897409747 291929851359 412065592659 483729173991 529798619133 621937509417 629760622743 681169653171 1236196777977 1451187521973 1589395857399 1889281868229 2043508959513 3708590333931 4353562565919 4768187572197 11125771001793 14304562716591 33377313005379 100131939016137
• Sum of all divisors σ(n): 186571532822400
• Sum of proper divisors (its aliquot sum) s(n): 86439593806263
• 100131939016137 is a deficient number, because the sum of its proper divisors (86439593806263) is less than itself. Its deficiency is 13692345209874

Bases of 100131939016137

• Binary: 10110110001000111001000101001111101110111001001₂
• Hexadecimal: 0x5B11C8A7DDC9
• Base-36: ZHRZ75RK9

Squares and roots of 100131939016137

• 100131939016137 squared (100131939016137²) is 10026405211131379199546402769
• 100131939016137 cubed (100131939016137³) is 1003963395152085483886876295878019392483353
• The square root of 100131939016137 is 10006594.7762531587
• The cube root of 100131939016137 is 46436.2929203553

Scales and comparisons

• 100,131,939,016,137 seconds is equal to 3,183,885 years, 48 weeks, 3 days, 8 hours, 28 minutes, 57 seconds.
• To count from 1 to 100,131,939,016,137 would take you about seven million, nine hundred fifty-nine thousand, seven hundred fourteen 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 100131939016137 cubic inches would be around 3869.7 feet tall.

Recreational maths with 100131939016137

• 100131939016137 backwards is 731610939131001
• The number of decimal digits it has is: 15
• The sum of 100131939016137's digits is 45
• More coming soon!