106400024640

Names of 106400024640

• Cardinal: 106400024640 can be written as One hundred six billion, four hundred million, twenty-four thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.0640002464 × 10¹¹

Factors of 106400024640

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2454

Divisors of 106400024640

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 112 117 120 126 130 140 144 156 160 168 180 181 182 192 195 208 210 224 234 240 252 260 273 280 288 312 315 320 336 360 362 364 390 416 420 448 455 468 480 504 520 543 546 560 576 585 624 630 672 720 724 728 780 819 832 840 905 910 936 960 1008 1040 1086 1092 1120 1170 1248 1260 1267 1344 1365 1440 1448 1456 1560 1629 1638 1680 1810 1820 1872 2016 2080 2172 2184 2240 2243 2340 2353 2496 2520 2534 2715 2730 2880 2896 2912 3120 3258 3276 3360 3620 3640 3744 3801 4032 4095 4160 4344 4368 4486 4680 4706 5040 5068 5430 5460 5792 5824 6240 6335 6516 6552 6720 6729 7059 7240 7280 7488 7602 8145 8190 8688 8736 8972 9360 9412 10080 10136 10860 10920 11215 11403 11584 11765 12480 12670 13032 13104 13458 14118 14480 14560 15204 15701 16290 16380 16471 17376 17472 17944 18720 18824 19005 20160 20187 20272 21177 21720 21840 22430 22806 23530 25340 26064 26208 26916 28236 28960 29120 29159 30408 31402 32580 32760 32942 33645 34752 35295 35888 37440 37648 38010 40374 40544 42354 43440 43680 44860 45612 47060 47103 49413 50680 52128 52416 53832 56472 57015 57920 58318 60816 62804 65160 65520 65884 67290 70590 71776 75296 76020 78505 80748 81088 82355 84708 86880 87360 87477 89720 91224 94120 94206 98826 100935 101360 104256 105885 107664 112944 114030 116636 121632 125608 130320 131040 131768 134580 141180 141309 143552 145795 148239 150592 152040 157010 161496 164710 169416 173760 174954 179440 182448 188240 188412 197652 201870 202720 204113 211770 215328 225888 228060 233272 235515 243264 247065 251216 260640 262080 262431 263536 269160 282360 282618 291590 296478 304080 314020 322992 329420 338832 349908 358880 364896 376480 376824 395304 403740 405440 405983 408226 423540 430656 437385 451776 456120 466544 471030 494130 502432 521280 524862 527072 538320 564720 565236 583180 592956 608160 612339 628040 645984 658840 677664 699816 706545 717760 729792 741195 752960 753648 790608 807480 811966 816452 847080 874770 912240 933088 942060 988260 1004864 1020565 1049724 1054144 1076640 1129440 1130472 1166360 1185912 1216320 1217949 1224678 1256080 1291968 1312155 1317680 1355328 1399632 1413090 1482390 1507296 1581216 1614960 1623932 1632904 1694160 1749540 1824480 1837017 1866176 1884120 1976520 2029915 2041130 2099448 2153280 2258880 2260944 2332720 2371824 2435898 2449356 2512160 2624310 2635360 2799264 2826180 2841881 2964780 3014592 3061695 3162432 3229920 3247864 3265808 3388320 3499080 3648960 3653847 3674034 3768240 3953040 4059830 4082260 4198896 4521888 4665440 4743648 4871796 4898712 5024320 5248620 5270720 5277779 5598528 5652360 5683762 5929560 6089745 6123390 6459840 6495728 6531616 6776640 6998160 7307694 7348068 7536480 7906080 8119660 8164520 8397792 8525643 9043776 9185085 9330880 9487296 9743592 9797424 10497240 10555558 11304720 11367524 11859120 12179490 12246780 12991456 13063232 13996320 14209405 14615388 14696136 15072960 15812160 15833337 16239320 16329040 16795584 17051286 18269235 18370170 19487184 19594848 20994480 21111116 22609440 22735048 23718240 24358980 24493560 25576929 25982912 26388895 27992640 28418810 29230776 29392272 31666674 32478640 32658080 34102572 36538470 36740340 36944453 38974368 39189696 41988960 42222232 42628215 45218880 45470096 47436480 47500011 48717960 48987120 51153858 52777790 56837620 58461552 58784544 63333348 64957280 65316160 68205144 73076940 73480680 73888906 77948736 79166685 83977920 84444464 85256430 90940192 95000022 97435920 97974240 102307716 105555580 110833359 113675240 116923104 117569088 126666696 127884645 129914560 136410288 146153880 146961360 147777812 158333370 168888928 170512860 181880384 184722265 190000044 194871840 195948480 204615432 211111160 221666718 227350480 233846208 237500055 253333392 255769290 272820576 292307760 293922720 295555624 316666740 332500077 337777856 341025720 369444530 380000088 389743680 409230864 422222320 443333436 454700960 475000110 506666784 511538580 545641152 554166795 584615520 587845440 591111248 633333480 665000154 682051440 738889060 760000176 818461728 844444640 886666872 909401920 950000220 1013333568 1023077160 1108333590 1169231040 1182222496 1266666960 1330000308 1364102880 1477778120 1520000352 1636923456 1662500385 1688889280 1773333744 1900000440 2046154320 2216667180 2364444992 2533333920 2660000616 2728205760 2955556240 3040000704 3325000770 3546667488 3800000880 4092308640 4433334360 5066667840 5320001232 5911112480 6650001540 7093334976 7600001760 8184617280 8866668720 10640002464 11822224960 13300003080 15200003520 17733337440 21280004928 26600006160 35466674880 53200012320 106400024640
• Sum of all divisors σ(n): 453117240576
• Sum of proper divisors (its aliquot sum) s(n): 346717215936
• 106400024640 is an abundant number, because the sum of its proper divisors (346717215936) is greater than itself. Its abundance is 240317191296

Bases of 106400024640

• Binary: 1100011000101111011111000100001000000₂
• Hexadecimal: 0x18C5EF8840
• Base-36: 1CVNTSG0

Squares and roots of 106400024640

• 106400024640 squared (106400024640²) is 11320965243392607129600
• 106400024640 cubed (106400024640³) is 1204550980845556995783279673344000
• The square root of 106400024640 is 326190.1663753829
• The cube root of 106400024640 is 4738.5693700977

Scales and comparisons

• 106,400,024,640 seconds is equal to 3,383 years, 9 weeks, 6 days, 18 hours, 24 minutes.
• To count from 1 to 106,400,024,640 would take you about six thousand, seven hundred sixty-six 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 106400024640 cubic inches would be around 394.9 feet tall.

Recreational maths with 106400024640

• 106400024640 backwards is 046420004601
• The number of decimal digits it has is: 12
• The sum of 106400024640's digits is 27
• More coming soon!