13964971945164736000
13,964,971,945,164,736,000 is an even composite number composed of five prime numbers multiplied together.
13964971945164736000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 13964971945164736000:
29 × 53 × 232 × 313 × 614
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 23 × 23 × 31 × 31 × 31 × 61 × 61 × 61 × 61)See below for interesting mathematical facts about the number 13964971945164736000 from the Numbermatics database.
Names of 13964971945164736000
- Cardinal: 13964971945164736000 can be written as Thirteen quintillion, nine hundred sixty-four quadrillion, nine hundred seventy-one trillion, nine hundred forty-five billion, one hundred sixty-four million, seven hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.3964971945164736 × 1019
Factors of 13964971945164736000
Divisors of 13964971945164736000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 31 32 40 46 50 61 62 64 80 92 100 115 122 124 125 128 155 160 184 200 230 244 248 250 256 305 310 320 368 400 460 488 496 500 512 529 575 610 620 640 713 736 775 800 920 961 976 992 1000 1058 1150 1220 1240 1280 1403 1426 1472 1525 1550 1600 1840 1891 1922 1952 1984 2000 2116 2300 2440 2480 2560 2645 2806 2852 2875 2944 3050 3100 3200 3565 3680 3721 3782 3844 3875 3904 3968 4000 4232 4600 4805 4880 4960 5290 5612 5704 5750 5888 6100 6200 6400 7015 7130 7360 7442 7564 7625 7688 7750 7808 7936 8000 8464 9200 9455 9610 9760 9920 10580 11224 11408 11500 11776 12200 12400 12800 13225 14030 14260 14720 14884 15128 15250 15376 15500 15616 15872 16000 16399 16928 17825 18400 18605 18910 19220 19520 19840 21160 22103 22448 22816 23000 24025 24400 24800 26450 28060 28520 29440 29768 29791 30256 30500 30752 31000 31232 32000 32269 32798 33856 35075 35650 36800 37210 37820 38440 39040 39680 42320 43493 44206 44896 45632 46000 47275 48050 48800 49600 52900 56120 57040 58621 58880 59536 59582 60512 61000 61504 62000 64000 64538 65596 66125 67712 70150 71300 73600 74420 75640 76880 78080 79360 81995 84640 85583 86986 88412 89125 89792 91264 92000 93025 94550 96100 97600 99200 105800 110515 112240 114080 115351 117242 119072 119164 120125 121024 122000 123008 124000 129076 131192 132250 135424 140300 142600 147200 148840 148955 151280 153760 156160 161345 163990 169280 171166 173972 175375 176824 178250 179584 182528 184000 186050 189100 192200 195200 198400 211600 217465 221030 224480 226981 228160 230702 234484 236375 238144 238328 240250 242048 244000 246016 248000 258152 262384 264500 270848 280600 285200 293105 294400 297680 297910 302560 307520 322690 327980 338560 342332 347944 350750 353648 356500 359168 365056 368000 372100 378200 384400 390400 396800 409975 423200 427915 434930 442060 448960 453962 456320 461404 465125 468968 472750 476288 476656 480500 484096 488000 492032 496000 508369 516304 524768 529000 552575 561200 570400 576755 586210 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3794829332925200 3917243182374400 4364053732863980 4504829659730560 4578679326283520 4743536666156500 4857381546144256 4896553977968000 4976825354656000 5279762550156800 5455067166079975 5631037074663200 5723349157854400 6071726932680320 6599703187696000 6982485972582368 7038796343329000 7154186447318000 7265854289888000 7384966655296000 7589658665850400 8728107465727960 9009659319461120 9157358652567040 9487073332313000 9793107955936000 9953650709312000 10910134332159950 11262074149326400 11446698315708800 12143453865360640 13199406375392000 13964971945164736 14077592686658000 14308372894636000 14531708579776000 15179317331700800 17456214931455920 18019318638922240 18974146664626000 19586215911872000 21820268664319900 22524148298652800 22893396631417600 24286907730721280 26398812750784000 27275335830399875 27929943890329472 28155185373316000 28616745789272000 30358634663401600 34912429862911840 37948293329252000 43640537328639800 45048296597305600 45786793262835200 54550671660799750 55859887780658944 56310370746632000 57233491578544000 60717269326803200 69824859725823680 75896586658504000 87281074657279600 90096593194611200 109101343321599500 111719775561317888 112620741493264000 114466983157088000 121434538653606400 139649719451647360 151793173317008000 174562149314559200 218202686643199000 225241482986528000 228933966314176000 279299438903294720 303586346634016000 349124298629118400 436405373286398000 450482965973056000 558598877806589440 607172693268032000 698248597258236800 872810746572796000 1396497194516473600 1745621493145592000 2792994389032947200 3491242986291184000 6982485972582368000 13964971945164736000
- Sum of all divisors σ(n): 38242681619466804480
- Sum of proper divisors (its aliquot sum) s(n): 24277709674302068480
- 13964971945164736000 is an abundant number, because the sum of its proper divisors (24277709674302068480) is greater than itself. Its abundance is 10312737729137332480
Bases of 13964971945164736000
- Binary: 11000001110011011000101111111110100110011101011100000110000000002
- Hexadecimal: 0xC1CD8BFE99D70600
- Base-36: 2Y3KPEHQ4FUV4
Squares and roots of 13964971945164736000
- 13964971945164736000 squared (139649719451647360002) is 195020441429238150261690177949696000000
- 13964971945164736000 cubed (139649719451647360003) is 2723454993292953358567484719271072054433441120256000000000
-
The
square root of 13964971945164736000 is 3736973634.5289801899 -
The
cube root of 13964971945164736000 is 2408130.5236519757
Scales and comparisons
How big is 13964971945164736000?- 13,964,971,945,164,736,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,964,971,945,164,736,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13964971945164736000 cubic inches would be around 200677.5 feet tall.
Recreational maths with 13964971945164736000
- 13964971945164736000 backwards is 00063746154917946931
- The number of decimal digits it has is: 20
- The sum of 13964971945164736000's digits is 85
- More coming soon!
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"Number 13964971945164736000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 13964971945164736000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/13964971945164736000/
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The information we have on file for 13964971945164736000 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!
Keywords: Divisors of 13964971945164736000, math, Factors of 13964971945164736000, curriculum, school, college, exams, university, Prime factorization of 13964971945164736000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, nine hundred sixty-four quadrillion, nine hundred seventy-one trillion, nine hundred forty-five billion, one hundred sixty-four million, seven hundred thirty-six thousand.