13085293842940800
13,085,293,842,940,800 is an even composite number composed of seven prime numbers multiplied together.
13085293842940800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13085293842940800:
27 × 3 × 52 × 13 × 2069 × 10273 × 4933
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 2069 × 10273 × 4933)See below for interesting mathematical facts about the number 13085293842940800 from the Numbermatics database.
Names of 13085293842940800
- Cardinal: 13085293842940800 can be written as Thirteen quadrillion, eighty-five trillion, two hundred ninety-three billion, eight hundred forty-two million, nine hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.30852938429408 × 1016
Factors of 13085293842940800
Divisors of 13085293842940800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 128 130 150 156 160 192 195 200 208 240 260 300 312 320 325 384 390 400 416 480 520 600 624 640 650 780 800 832 960 975 1040 1200 1248 1300 1560 1600 1664 1920 1950 2069 2080 2400 2496 2600 3120 3200 3900 4138 4160 4800 4933 4992 5200 6207 6240 7800 8276 8320 9600 9866 10273 10345 10400 12414 12480 14799 15600 16552 19732 20546 20690 20800 24665 24828 24960 26897 29598 30819 31035 31200 33104 39464 41092 41380 41600 49330 49656 51365 51725 53794 59196 61638 62070 62400 64129 66208 73995 78928 80691 82184 82760 98660 99312 102730 103450 107588 118392 123276 123325 124140 124800 128258 132416 133549 134485 147990 154095 155175 157856 161382 164368 165520 192387 197320 198624 205460 206900 215176 236784 246552 246650 248280 256516 256825 264832 267098 268970 295980 308190 310350 315712 320645 322764 328736 331040 369975 384774 394640 397248 400647 403455 410920 413800 430352 473568 493104 493300 496560 513032 513650 534196 537940 591960 616380 620700 631424 641290 645528 657472 662080 667745 672425 739950 769548 770475 789280 794496 801294 806910 821840 827600 860704 947136 961935 986208 986600 993120 1026064 1027300 1068392 1075880 1183920 1232760 1241400 1282580 1291056 1314944 1324160 1335490 1344850 1479900 1539096 1540950 1578560 1602588 1603225 1613820 1643680 1655200 1721408 1894272 1923870 1972416 1973200 1986240 2003235 2017275 2052128 2054600 2136784 2151760 2367840 2465520 2482800 2565160 2582112 2670980 2689700 2959800 3078192 3081900 3157120 3205176 3206450 3227640 3287360 3310400 3338725 3442816 3847740 3944832 3946400 3972480 4006470 4034550 4104256 4109200 4273568 4303520 4735680 4809675 4931040 4965600 5130320 5164224 5341960 5379400 5919600 6156384 6163800 6410352 6412900 6455280 6574720 6620800 6677450 7695480 7892800 8012940 8069100 8208512 8218400 8547136 8607040 9471360 9619350 9862080 9931200 10016175 10206377 10260640 10328448 10683920 10758800 11839200 12312768 12327600 12820704 12825800 12910560 13354900 15390960 15785600 16025880 16138200 16436800 17094272 17214080 19238700 19724160 19862400 20032350 20412754 20521280 21254837 21367840 21517600 23678400 24625536 24655200 25641408 25651600 25821120 26709800 30619131 30781920 32051760 32276400 32873600 38477400 40064700 40825508 41042560 42509674 42735680 43035200 47356800 49310400 50676709 51031885 51282816 51303200 51642240 53419600 61238262 61563840 63764511 64103520 64552800 76954800 80129400 81651016 85019348 85471360 86070400 98620800 101353418 102063770 102606400 106274185 106839200 122476524 123127680 127529022 128207040 129105600 132682901 152030127 153095655 153909600 160258800 163302032 170038696 202706836 204127540 205212800 212548370 213678400 244953048 253383545 255058044 255159425 256414080 258211200 265365802 276312881 304060254 306191310 307819200 318822555 320517600 326604064 340077392 398048703 405413672 408255080 425096740 427356800 489906096 506767090 510116088 510318850 530731604 531370925 552625762 608120508 612382620 615638400 637645110 641035200 653208128 658797217 663414505 680154784 760150635 765478275 796097406 810827344 816510160 828938643 850193480 979812192 1013534180 1020232176 1020637700 1061463208 1062741850 1105251524 1216241016 1224765240 1266917725 1275290220 1282070400 1306416256 1317594434 1326829010 1360309568 1381564405 1520301270 1530956550 1592194812 1594112775 1621654688 1633020320 1657877286 1700386960 1959624384 1976391651 1990243515 2027068360 2040464352 2041275400 2122926416 2125483700 2210503048 2432482032 2449530480 2533835450 2550580440 2635188868 2653658020 2720619136 2763128810 3040602540 3061913100 3184389624 3188225550 3243309376 3266040640 3293986085 3315754572 3317072525 3400773920 3800753175 3919248768 3952783302 3980487030 4054136720 4080928704 4082550800 4144693215 4245852832 4250967400 4421006096 4864964064 4899060960 5067670900 5101160880 5270377736 5307316040 5526257620 6081205080 6123826200 6368779248 6376451100 6486618752 6532081280 6587972170 6631509144 6634145050 6801547840 6907822025 7601506350 7905566604 7960974060 8108273440 8161857408 8165101600 8289386430 8491705664 8501934800 8842012192 9729928128 9798121920 9881958255 9951217575 10135341800 10202321760 10540755472 10614632080 11052515240 12162410160 12247652400 12737558496 12752902200 13175944340 13263018288 13268290100 13603095680 13815644050 15203012700 15811133208 15921948120 16216546880 16330203200 16469930425 16578772860 16983411328 17003869600 17684024384 19459856256 19596243840 19763916510 19902435150 20270683600 20404643520 20723466075 21081510944 21229264160 22105030480 24324820320 24495304800 25475116992 25505804400 26351888680 26526036576 26536580200 27631288100 30406025400 31622266416 31843896240 32433093760 32660406400 32939860850 33157545720 34007739200 35368048768 39527833020 39804870300 40541367200 40809287040 41446932150 42163021888 42458528320 44210060960 48649640640 48990609600 49409791275 50950233984 51011608800 52703777360 53052073152 53073160400 55262576200 60812050800 63244532832 63687792480 65879721700 66315091440 68015478400 79055666040 79609740600 81082734400 82893864300 84326043776 84917056640 88420121920 97299281280 97981219200 98819582550 102023217600 104850110921 105407554720 106104146304 106146320800 110525152400 121624101600 126489065664 127375584960 131759443400 132630182880 158111332080 159219481200 162165468800 165787728600 176840243840 197639165100 204046435200 209700221842 210815109440 212292641600 221050304800 243248203200 252978131328 254751169920 263518886800 265260365760 314550332763 316222664160 318438962400 331575457200 395278330200 419400443684 421630218880 424585283200 442100609600 486496406400 524250554605 527037773600 530520731520 629100665526 632445328320 636877924800 663150914400 790556660400 838800887368 884201219200 1048501109210 1054075547200 1258201331052 1264890656640 1273755849600 1326301828800 1363051441973 1572751663815 1581113320800 1677601774736 2097002218420 2108151094400 2516402662104 2621252773025 2652603657600 2726102883946 3145503327630 3162226641600 3355203549472 4089154325919 4194004436840 5032805324208 5242505546050 5452205767892 6291006655260 6324453283200 6710407098944 6815257209865 7863758319075 8178308651838 8388008873680 10065610648416 10485011092100 10904411535784 12582013310520 13420814197888 13630514419730 15727516638150 16356617303676 16776017747360 20131221296832 20445771629595 20970022184200 21808823071568 25164026621040 27261028839460 31455033276300 32713234607352 33552035494720 34076286049325 40262442593664 40891543259190 41940044368400 43617646143136 50328053242080 54522057678920 62910066552600 65426469214704 67104070989440 68152572098650 81783086518380 83880088736800 87235292286272 100656106484160 102228858147975 109044115357840 125820133105200 130852938429408 136305144197300 163566173036760 167760177473600 174470584572544 201312212968320 204457716295950 218088230715680 251640266210400 261705876858816 272610288394600 327132346073520 335520354947200 408915432591900 436176461431360 503280532420800 523411753717632 545220576789200 654264692147040 817830865183800 872352922862720 1006561064841600 1090441153578400 1308529384294080 1635661730367600 2180882307156800 2617058768588160 3271323460735200 4361764614313600 6542646921470400 13085293842940800
- Sum of all divisors σ(n): 46451415566001600
- Sum of proper divisors (its aliquot sum) s(n): 33366121723060800
- 13085293842940800 is an abundant number, because the sum of its proper divisors (33366121723060800) is greater than itself. Its abundance is 20280827880120000
Bases of 13085293842940800
- Binary: 1011100111110100000001011000110100101001000011100000002
- Hexadecimal: 0x2E7D01634A4380
- Base-36: 3KUCL05T85C
Squares and roots of 13085293842940800
- 13085293842940800 squared (130852938429408002) is 171224914956104409857992304640000
- 13085293842940800 cubed (130852938429408003) is 2240528325433175134614533827183579187085312000000
-
The
square root of 13085293842940800 is 114390969.2368274323 -
The
cube root of 13085293842940800 is 235646.5901736773
Scales and comparisons
How big is 13085293842940800?- 13,085,293,842,940,800 seconds is equal to 416,071,868 years, 38 weeks, 1 day, 5 hours, 20 minutes.
-
To count from 1 to 13,085,293,842,940,800 would take you about one billion, two hundred forty-eight million, two hundred fifteen thousand, six hundred 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 13085293842940800 cubic inches would be around 19637.2 feet tall.
Recreational maths with 13085293842940800
- 13085293842940800 backwards is 00804924839258031
- The number of decimal digits it has is: 17
- The sum of 13085293842940800's digits is 66
- More coming soon!
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The information we have on file for 13085293842940800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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