106142664540640

Names of 106142664540640

• Cardinal: 106142664540640 can be written as One hundred six trillion, one hundred forty-two billion, six hundred sixty-four million, five hundred forty thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.0614266454064 × 10¹⁴

Factors of 106142664540640

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2922

Divisors of 106142664540640

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 65 70 79 80 91 98 104 112 130 140 158 160 182 196 208 224 245 260 280 316 343 364 392 395 416 455 490 520 553 560 632 637 686 728 784 790 910 980 1027 1040 1093 1106 1120 1264 1274 1372 1456 1568 1580 1715 1723 1820 1960 2054 2080 2186 2212 2528 2548 2744 2765 2912 3160 3185 3430 3446 3640 3871 3920 4108 4372 4424 4459 5096 5135 5465 5488 5530 6320 6370 6860 6892 7189 7280 7651 7742 7840 8216 8615 8744 8848 8918 10192 10270 10930 10976 11060 12061 12640 12740 13720 13784 14209 14378 14560 15302 15484 16432 17230 17488 17696 17836 19355 20384 20540 21860 22120 22295 22399 24122 25480 27097 27440 27568 28418 28756 30604 30968 32864 34460 34976 35672 35945 38255 38710 41080 43720 44240 44590 44798 48244 50323 50960 53557 54194 54880 55136 56836 57512 60305 61208 61936 68920 71045 71344 71890 76510 77420 82160 84427 86347 87440 88480 89180 89596 96488 99463 100646 101920 107114 108388 111995 113672 115024 120610 122416 123872 135485 136117 137840 142090 142688 143780 153020 154840 156793 164320 168854 172694 174880 178360 179192 192976 198926 201292 214228 216776 223990 227344 230048 241220 244832 251615 267785 270970 272234 275680 284180 287560 306040 309680 313586 337708 345388 352261 356720 358384 374899 385952 397852 402584 422135 428456 431735 433552 447980 454688 482440 497315 503230 535570 541940 544468 568360 575120 590989 604429 612080 619360 627172 675416 680585 690776 696241 704522 713440 716768 749798 783965 795704 805168 844270 856912 863470 867104 895960 952819 964880 994630 1006460 1071140 1083880 1088936 1097551 1122511 1136720 1150240 1181978 1208858 1224160 1254344 1350832 1361170 1381552 1392482 1409044 1499596 1567930 1591408 1610336 1688540 1713824 1726940 1761305 1769521 1791920 1874495 1883239 1905638 1929760 1989260 2012920 2142280 2167760 2177872 2195102 2245022 2273440 2363956 2417716 2508688 2701664 2722340 2763104 2784964 2818088 2954945 2999192 3022145 3135860 3182816 3377080 3453880 3481205 3522610 3539042 3583840 3748990 3766478 3811276 3978520 4025840 4231003 4284560 4335520 4355744 4390204 4490044 4727912 4764095 4835432 4873687 5017376 5444680 5487755 5569928 5612555 5636176 5909890 5998384 6044290 6271720 6669733 6754160 6907760 6962410 7045220 7078084 7497980 7532956 7622552 7682857 7857577 7957040 8051680 8462006 8569120 8780408 8847605 8980088 9416195 9455824 9528190 9670864 9747374 10889360 10975510 11139856 11225110 11272352 11819780 11996768 12088580 12386647 12543440 13182673 13339466 13508320 13815520 13924820 14090440 14156168 14995960 15065912 15245104 15365714 15715154 15914080 16924012 17560816 17695210 17960176 18832390 18911648 19056380 19341728 19494748 21155015 21778720 21951020 22279712 22450220 23639560 24177160 24368435 24482107 24773294 25086880 26365346 26678932 27849640 28180880 28312336 29617021 29991920 30131824 30490208 30731428 31430308 33348665 33848024 35121632 35390420 35920352 37664780 38112760 38414285 38989496 39287885 42310030 43902040 44900440 46688131 47279120 48354320 48736870 48964214 49546588 52730692 53357864 55003039 55699280 56361760 56624672 59234042 59983840 60263648 61462856 61933235 62860616 65913365 66697330 67696048 70780840 75329560 76225520 76828570 77978992 78575770 84620060 86706529 87804080 89800880 92278711 93376262 94558240 96708640 97473740 97928428 99093176 105461384 106715728 110006078 111398560 118468084 122410535 122925712 123866470 125721232 131826730 133394660 135392096 141561680 148085105 148775881 150659120 152451040 153657140 155957984 157151540 169240120 171374749 173413058 175608160 179601760 184557422 186752524 194947480 195856856 198186352 210922768 213431456 220012156 233440655 236936168 244821070 245851424 247732940 251442464 263653460 266789320 275015195 283123360 296170210 297551762 301318240 307314280 314303080 338480240 342749498 346826116 369114844 373505048 385021273 389894960 391713712 396372704 421845536 433532645 440024312 461393555 466881310 473872336 489642140 495465880 527306920 533578640 550030390 592340420 595103524 606945703 614628560 628606160 645950977 676960480 685498996 693652232 738229688 743879405 747010096 770042546 779789920 783427424 856873745 867065290 880048624 922787110 933762620 947744672 979284280 990931760 1041431167 1054613840 1067157280 1100060780 1184680840 1190207048 1199623243 1213891406 1229257120 1257212320 1291901954 1370997992 1387304464 1476459376 1487758810 1494020192 1540085092 1713747490 1734130580 1760097248 1845574220 1867525240 1925106365 1934086453 1958568560 1981863520 2082862334 2109227680 2200121560 2369361680 2380414096 2399246486 2427782812 2583803908 2741995984 2774608928 2952918752 2975517620 3034728515 3080170184 3229754885 3427494980 3468261160 3691148440 3735050480 3850212730 3868172906 3917137120 4165724668 4400243120 4738723360 4760828192 4798492972 4855565624 5167607816 5207155835 5483991968 5951035240 5998116215 6069457030 6160340368 6459509770 6854989960 6936522320 7290018169 7382296880 7470100960 7700425460 7736345812 8331449336 8397362701 8800486240 9596985944 9670432265 9711131248 10335215632 10414311670 11902070480 11996232430 12138914060 12320680736 12919019540 13538605171 13709979920 13873044640 14580036338 14764593760 15400850920 15472691624 16662898672 16794725402 19193971888 19340864530 19422262496 20670431264 20828623340 23804140960 23992464860 24277828120 25838039080 27077210342 27419959840 29160072676 30801701840 30945383248 33325797344 33589450804 36450090845 38387943776 38681729060 41657246680 41986813505 47984929720 48555656240 51030127183 51676078160 54154420684 58320145352 61603403680 61890766496 67178901608 67693025855 72900181690 77363458120 83314493360 83973627010 94770236197 95969859440 97111312480 102060254366 103352156320 108308841368 116640290704 134357803216 135386051710 145800363380 154726916240 166628986720 167947254020 189540472394 191939718880 204120508732 216617682736 233280581408 255150635915 268715606432 270772103420 291600726760 309453832480 335894508040 379080944788 408241017464 433235365472 473851180985 510301271830 541544206840 583201453520 663391653379 671789016080 758161889576 816482034928 947702361970 1020602543660 1083088413680 1166402907040 1326783306758 1343578032160 1516323779152 1632964069856 1895404723940 2041205087320 2166176827360 2653566613516 3032647558304 3316958266895 3790809447880 4082410174640 5307133227032 6633916533790 7581618895760 8164820349280 10614266454064 13267833067580 15163237791520 21228532908128 26535666135160 53071332270320 106142664540640
• Sum of all divisors σ(n): 319392267264000
• Sum of proper divisors (its aliquot sum) s(n): 213249602723360
• 106142664540640 is an abundant number, because the sum of its proper divisors (213249602723360) is greater than itself. Its abundance is 107106938182720

Bases of 106142664540640

• Binary: 11000001000100101000011110100001100000111100000₂
• Hexadecimal: 0x608943D0C1E0
• Base-36: 11MH9LY0V4

Squares and roots of 106142664540640

• 106142664540640 squared (106142664540640²) is 11266265235786836022211609600
• 106142664540640 cubed (106142664540640³) is 1195831411547996548604498441720459014144000
• The square root of 106142664540640 is 10302556.2139034213
• The cube root of 106142664540640 is 47347.4573920531

Scales and comparisons

• 106,142,664,540,640 seconds is equal to 3,375,008 years, 21 weeks, 2 days, 19 hours, 30 minutes, 40 seconds.
• To count from 1 to 106,142,664,540,640 would take you about eight million, four hundred thirty-seven thousand, five hundred twenty-one 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 106142664540640 cubic inches would be around 3945.6 feet tall.

Recreational maths with 106142664540640

• 106142664540640 backwards is 046045466241601
• 106142664540640 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 106142664540640's digits is 49
• More coming soon!