13768989328640

Names of 13768989328640

• Cardinal: 13768989328640 can be written as Thirteen trillion, seven hundred sixty-eight billion, nine hundred eighty-nine million, three hundred twenty-eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.376898932864 × 10¹³

Factors of 13768989328640

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1236

Divisors of 13768989328640

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 37 40 52 56 64 65 70 74 79 80 91 104 112 128 130 140 148 158 160 182 185 208 224 256 259 260 280 296 316 320 364 370 395 416 448 455 481 518 520 553 560 592 632 640 728 740 790 832 896 910 962 1027 1036 1040 1093 1106 1120 1184 1264 1280 1295 1369 1456 1480 1580 1664 1792 1820 1924 2054 2072 2080 2186 2212 2240 2368 2405 2528 2590 2738 2765 2912 2923 2960 3160 3328 3367 3640 3848 4108 4144 4160 4372 4424 4480 4736 4810 5056 5135 5180 5465 5476 5530 5824 5846 5920 6320 6734 6845 7189 7280 7651 7696 8216 8288 8320 8744 8848 8960 9472 9583 9620 10112 10270 10360 10930 10952 11060 11648 11692 11840 12640 13468 13690 14209 14378 14560 14615 15302 15392 16432 16576 16640 16835 17488 17696 17797 19166 19240 20224 20461 20540 20720 21860 21904 22120 23296 23384 23680 25280 26936 27380 28418 28756 29120 29230 30604 30784 32864 33152 33670 34976 35392 35594 35945 37999 38255 38332 38480 40441 40922 41080 41440 43720 43808 44240 46768 47360 47915 50560 53872 54760 56836 57512 58240 58460 61208 61568 65728 66304 67340 69952 70784 71045 71188 71890 75998 76510 76664 76960 80882 81844 82160 82880 86347 87440 87616 88480 88985 93536 95830 99463 101120 102305 107744 108151 109520 113672 115024 116480 116920 122416 123136 124579 131456 134680 139904 141568 142090 142376 143780 151996 153020 153328 153920 161764 163688 164320 165760 172694 174880 175232 176960 177970 187072 189995 191660 198926 202205 204610 215488 216302 219040 227344 230048 233840 244832 249158 262912 265993 269360 279808 283087 284180 284752 287560 303992 306040 306656 307840 323528 327376 328640 331520 345388 349760 350464 353920 355940 374144 379990 383320 397852 404410 409220 430976 431735 432604 438080 454688 460096 467680 489664 497315 498316 525733 531986 538720 540755 566174 568360 569504 575120 604429 607984 612080 613312 615680 622895 647056 654752 657280 690776 699520 707840 711880 748288 757057 759980 766640 795704 808820 818440 861952 863470 865208 876160 909376 920192 935360 979328 994630 996632 1051466 1063972 1077440 1081510 1122511 1132348 1136720 1139008 1150240 1208858 1215968 1224160 1226624 1245790 1294112 1309504 1314560 1329965 1381552 1399040 1405963 1415435 1423760 1496317 1514114 1519960 1533280 1591408 1617640 1636880 1726940 1730416 1752320 1818752 1840384 1870720 1958656 1989260 1993264 2102932 2127944 2154880 2163020 2245022 2264696 2273440 2278016 2300480 2417716 2431936 2448320 2453248 2491580 2588224 2619008 2628665 2659930 2763104 2811926 2830870 2847520 2992634 3022145 3028228 3039920 3066560 3182816 3194839 3235280 3273760 3453880 3460832 3637504 3680131 3741440 3785285 3978520 3986528 4205864 4255888 4309760 4326040 4490044 4529392 4546880 4556032 4600960 4835432 4863872 4896640 4983160 5176448 5238016 5257330 5319860 5526208 5612555 5623852 5661740 5695040 5985268 6044290 6056456 6079840 6133120 6365632 6389678 6470560 6547520 6907760 6921664 7029815 7360262 7481585 7570570 7857577 7957040 7973056 8411728 8511776 8652080 8980088 9058784 9093760 9201920 9670864 9727744 9793280 9841741 9966320 10352896 10474219 10514660 10639720 11052416 11225110 11247704 11323480 11390080 11970536 12088580 12112912 12159680 12266240 12731264 12779356 12941120 13095040 13815520 13843328 14059630 14720524 14963170 15141140 15715154 15914080 15946112 15974195 16823456 17023552 17304160 17960176 18117568 18187520 18400655 19341728 19452121 19683482 19932640 20948438 21029320 21279440 22104832 22363873 22450220 22495408 22646960 22780160 23941072 24177160 24225824 24319360 25462528 25558712 25882240 26190080 27631040 27686656 28119260 29441048 29926340 30282280 31430308 31828160 31892224 31948390 33646912 34047104 34608320 35920352 36235136 36801310 38683456 38904242 39287885 39366964 39865280 41532907 41896876 42058640 42558880 44727746 44900440 44990816 45293920 47882144 48354320 48451648 48638720 49208705 51117424 51764480 52371095 55262080 56238520 58882096 59852680 60564560 62860616 63656320 63896780 67293824 68094208 69216640 71840704 72470272 73602620 77366912 77808484 78575770 78733928 79730560 83065814 83793752 84117280 85117760 89455492 89800880 89981632 90587840 95764288 96708640 96903296 97260605 98417410 102234848 104742190 110524160 111819365 112477040 117764192 118209043 119705360 121129120 125721232 127312640 127793560 134587648 136164847 138433280 143681408 147205240 154733824 155616968 157151540 157467856 159461120 166131628 167587504 168234560 170235520 178910984 179601760 179963264 181175680 191528576 193417280 193806592 194521210 196834820 204469696 207664535 209484380 223638730 224954080 235528384 236418086 239410720 242258240 251442464 255587120 272329694 287362816 290730349 294410480 311233936 314303080 314935712 332263256 335175008 336469120 340471040 357821968 359203520 359926528 362351360 383057152 386834560 389042420 393669640 408939392 415329070 418968760 447277460 449908160 471056768 472836172 478821440 484516480 502884928 511174240 544659388 581460698 588820960 591045215 622467872 628606160 629871424 664526512 670350016 672938240 680824235 715643936 718407040 773669120 778084840 787339280 817878784 827463301 830658140 837937520 894554920 899816320 942113536 945672344 957642880 969032960 1005769856 1022348480 1089318776 1162921396 1177641920 1182090430 1244935744 1257212320 1259742848 1329053024 1340700032 1361648470 1431287872 1436814080 1453651745 1536717559 1556169680 1574678560 1654926602 1661316280 1675875040 1789109840 1799632640 1891344688 1915285760 2011539712 2044696960 2178637552 2325842792 2355283840 2364180860 2489871488 2514424640 2519485696 2658106048 2681400064 2723296940 2862575744 2907303490 3073435118 3112339360 3149357120 3309853204 3322632560 3351750080 3578219680 3782689376 4089393920 4137316505 4357275104 4651685584 4710567680 4728361720 4979742976 5028849280 5316212096 5446593880 5725151488 5814606980 6146870236 6224678720 6298714240 6619706408 6645265120 6703500160 7156439360 7565378752 7683587795 8274633010 8714550208 9303371168 9456723440 10057698560 10632424192 10757022913 10893187760 11629213960 12293740472 12449357440 12597428480 13239412816 13290530240 13407000320 14312878720 15130757504 15367175590 16549266020 17429100416 18606742336 18913446880 21514045826 21786375520 23258427920 24587480944 24898714880 26478825632 26581060480 28625757440 30261515008 30734351180 33098532040 34858200832 37213484672 37826893760 43028091652 43572751040 46516855840 49174961888 52957651264 53162120960 53785114565 61468702360 66197064080 74426969344 75653787520 86056183304 87145502080 93033711680 98349923776 105915302528 107570229130 122937404720 132394128160 151307575040 172112366608 174291004160 186067423360 196699847552 211830605056 215140458260 245874809440 264788256320 344224733216 372134846720 393399695104 430280916520 491749618880 529576512640 688449466432 860561833040 983499237760 1059153025280 1376898932864 1721123666080 1966998475520 2753797865728 3442247332160 6884494664320 13768989328640
• Sum of all divisors σ(n): 42285510650880
• Sum of proper divisors (its aliquot sum) s(n): 28516521322240
• 13768989328640 is an abundant number, because the sum of its proper divisors (28516521322240) is greater than itself. Its abundance is 14747531993600

Bases of 13768989328640

• Binary: 11001000010111010111101101111100010100000000₂
• Hexadecimal: 0xC85D7B7C500
• Base-36: 4VPDWQOZK

Squares and roots of 13768989328640

• 13768989328640 squared (13768989328640²) is 189585067132202197924249600
• 13768989328640 cubed (13768989328640³) is 2610394766212790071321745901479788544000
• The square root of 13768989328640 is 3710658.8806625705
• The cube root of 13768989328640 is 23968.1227996571

Scales and comparisons

• 13,768,989,328,640 seconds is equal to 437,811 years, 14 weeks, 9 hours, 57 minutes, 20 seconds.
• To count from 1 to 13,768,989,328,640 would take you about one million, ninety-four thousand, five hundred twenty-eight 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 13768989328640 cubic inches would be around 1997.3 feet tall.

Recreational maths with 13768989328640

• 13768989328640 backwards is 04682398986731
• 13768989328640 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13768989328640's digits is 74
• More coming soon!