13973039420448960
13,973,039,420,448,960 is an even composite number composed of nine prime numbers multiplied together.
What does the number 13973039420448960 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2688 divisors.
13973039420448960 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 13973039420448960:
26 × 32 × 5 × 43 × 61 × 67 × 127 × 181 × 1201
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 43 × 61 × 67 × 127 × 181 × 1201)See below for interesting mathematical facts about the number 13973039420448960 from the Numbermatics database.
Names of 13973039420448960
- Cardinal: 13973039420448960 can be written as Thirteen quadrillion, nine hundred seventy-three trillion, thirty-nine billion, four hundred twenty million, four hundred forty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.397303942044896 × 1016
Factors of 13973039420448960
Divisors of 13973039420448960
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 61 64 67 72 80 86 90 96 120 122 127 129 134 144 160 172 180 181 183 192 201 215 240 244 254 258 268 288 305 320 335 344 360 362 366 381 387 402 430 480 488 508 516 536 543 549 576 603 610 635 645 670 688 720 724 732 762 774 804 860 905 915 960 976 1005 1016 1032 1072 1086 1098 1143 1201 1206 1220 1270 1290 1340 1376 1440 1448 1464 1524 1548 1608 1629 1720 1810 1830 1905 1935 1952 2010 2032 2064 2144 2172 2196 2286 2402 2412 2440 2540 2580 2623 2680 2715 2745 2752 2880 2881 2896 2928 3015 3048 3096 3216 3258 3440 3603 3620 3660 3810 3870 3904 4020 4064 4087 4128 4288 4344 4392 4572 4804 4824 4880 5080 5160 5246 5360 5430 5461 5490 5715 5762 5792 5856 6005 6030 6096 6192 6432 6516 6880 7206 7240 7320 7620 7740 7747 7783 7869 8040 8128 8145 8174 8256 8509 8643 8688 8784 9144 9608 9648 9760 10160 10320 10492 10720 10809 10860 10922 10980 11041 11430 11524 11584 11712 12010 12060 12127 12192 12261 12384 12864 13032 13115 13760 14405 14412 14480 14640 15240 15480 15494 15566 15738 16080 16290 16348 16383 17018 17286 17376 17568 18015 18288 19216 19296 19520 20320 20435 20640 20984 21440 21618 21720 21844 21960 22082 22860 22987 23048 23241 23349 23607 24020 24120 24254 24384 24522 24768 25527 25929 26064 26230 27305 28810 28824 28960 29280 30480 30960 30988 31132 31476 32160 32580 32696 32766 33123 34036 34572 34752 35136 36030 36381 36576 36783 38432 38592 38735 38915 39345 40640 40870 41280 41968 42545 43215 43236 43440 43688 43920 44164 45720 45974 46096 46482 46698 47214 48040 48240 48508 49044 49149 51054 51643 51858 52128 52460 54045 54610 55205 57620 57648 57920 58560 60635 60960 61305 61920 61976 62264 62952 64320 65160 65392 65532 66246 68072 68961 69144 69723 70047 72060 72762 73152 73261 73566 76581 76864 77470 77830 78690 80467 81740 81915 83936 85090 86430 86472 86880 87376 87840 88328 91440 91948 92192 92964 93396 94428 96080 96480 97016 98088 98298 99369 102108 103286 103716 104256 104920 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573041314815 576112782240 579313408808 581725204848 591902377280 598442735040 601223674560 606258218520 607867030080 611244069136 632779613280 636295055576 639674025840 643325940168 646361338720 651727584909 665890174440 676988344014 683779761216 687649577778 715831937523 724141761010 727156506060 764055086420 775633606464 795368819470 804157425210 808344291360 821074122720 852898701120 854724701520 857767920224 868970113212 887853565920 897664102560 901835511840 902651125352 916866103704 954442583364 964988910252 969542008080 970013149632 1015482516021 1065424279104 1072209900280 1086212641515 1128313906690 1139632935360 1146082629630 1152225564480 1158626817616 1163450409696 1193053229205 1206236137815 1212516437040 1222488138272 1265559226560 1272590111152 1279348051680 1286651880336 1292722677440 1303455169818 1331780348880 1353976688028 1375299155556 1431663875046 1448283522020 1454313012120 1528110172840 1590737638940 1608314850420 1616688582720 1642148245440 1692470860035 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6769883440140 6876495777780 6951760905696 7158319375230 7221209002816 7334928829632 7635540666912 7719911282016 8123860128168 8577679202240 8689701132120 9026511253520 9168661037040 9544425833640 9649889102520 9703499597534 10154825160210 10427641358544 10831813504224 11002393244448 11453311000368 11586268176160 11634504096960 12224881382720 12725901111520 12866518803360 13034551698180 13539766880280 13752991555560 13903521811392 14316638750460 14555249396301 15271081333824 15439822564032 16247720256336 17379402264240 18053022507040 18337322074080 19088851667280 19299778205040 19406999195068 20309650320420 20855282717088 21663627008448 22004786488896 22906622000736 23172536352320 24258748993835 25451802223040 25733037606720 26069103396360 27079533760560 27505983111120 28633277500920 29110498792602 32495440512672 34758804528480 36106045014080 36674644148160 38177703334560 38599556410080 38813998390136 40619300640840 41710565434176 43665748188903 45813244001472 48517497987670 52138206792720 54159067521120 55011966222240 57266555001840 58220997585204 64990881025344 69517609056960 72776246981505 76355406669120 77199112820160 77627996780272 81238601281680 87331496377806 97034995975340 104276413585440 108318135042240 110023932444480 114533110003680 116441995170408 145552493963010 155255993560544 162477202563360 174662992755612 194069991950680 208552827170880 218328740944515 229066220007360 232883990340816 291104987926020 310511987121088 324954405126720 349325985511224 388139983901360 436657481889030 465767980681632 582209975852040 698651971022448 776279967802720 873314963778060 931535961363264 1164419951704080 1397303942044896 1552559935605440 1746629927556120 2328839903408160 2794607884089792 3493259855112240 4657679806816320 6986519710224480 13973039420448960
- Sum of all divisors σ(n): 51456166455902208
- Sum of proper divisors (its aliquot sum) s(n): 37483127035453248
- 13973039420448960 is an abundant number, because the sum of its proper divisors (37483127035453248) is greater than itself. Its abundance is 23510087615004288
Bases of 13973039420448960
- Binary: 1100011010010001100111110000110001011010100000110000002
- Hexadecimal: 0x31A467C316A0C0
- Base-36: 3TL11OXQY80
Squares and roots of 13973039420448960
- 13973039420448960 squared (139730394204489602) is 195245830645420607956207965081600
- 13973039420448960 cubed (139730394204489603) is 2728177688286763765579027565951199444675035136000
-
The
square root of 13973039420448960 is 118207611.5165557349 -
The
cube root of 13973039420448960 is 240859.4154936095
Scales and comparisons
How big is 13973039420448960?- 13,973,039,420,448,960 seconds is equal to 444,299,432 years, 6 weeks, 2 days, 5 hours, 36 minutes.
-
To count from 1 to 13,973,039,420,448,960 would take you about one billion, three hundred thirty-two million, eight hundred ninety-eight thousand, two hundred ninety-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 13973039420448960 cubic inches would be around 20071.6 feet tall.
Recreational maths with 13973039420448960
- 13973039420448960 backwards is 06984402493037931
- 13973039420448960 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13973039420448960's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 13973039420448960 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 13973039420448960 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/13973039420448960/
Chicago style:
Numbermatics. 2024. "Number 13973039420448960 - Facts about the integer". https://numbermatics.com/n/13973039420448960/
The information we have on file for 13973039420448960 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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