13680872400
13,680,872,400 is an even composite number composed of seven prime numbers multiplied together.
13680872400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13680872400:
24 × 3 × 52 × 13 × 17 × 79 × 653
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 17 × 79 × 653)See below for interesting mathematical facts about the number 13680872400 from the Numbermatics database.
Names of 13680872400
- Cardinal: 13680872400 can be written as Thirteen billion, six hundred eighty million, eight hundred seventy-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.36808724 × 1010
Factors of 13680872400
Divisors of 13680872400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 34 39 40 48 50 51 52 60 65 68 75 78 79 80 85 100 102 104 120 130 136 150 156 158 170 195 200 204 208 221 237 240 255 260 272 300 312 316 325 340 390 395 400 408 425 442 474 510 520 600 624 632 650 653 663 680 780 790 816 850 884 948 975 1020 1027 1040 1105 1185 1200 1264 1275 1300 1306 1326 1343 1360 1560 1580 1700 1768 1896 1950 1959 1975 2040 2054 2210 2370 2550 2600 2612 2652 2686 3081 3120 3160 3265 3315 3400 3536 3792 3900 3918 3950 4029 4080 4108 4420 4740 5100 5135 5200 5224 5304 5372 5525 5925 6162 6320 6530 6630 6715 6800 7800 7836 7900 8058 8216 8489 8840 9480 9795 10200 10270 10448 10608 10744 11050 11101 11850 12324 13060 13260 13430 15405 15600 15672 15800 16116 16325 16432 16575 16978 17459 17680 18960 19590 20145 20400 20540 21488 22100 22202 23700 24648 25467 25675 26120 26520 26860 30810 31344 31600 32232 32650 33150 33303 33575 33956 34918 39180 40290 41080 42445 44200 44404 47400 48975 49296 50934 51350 51587 52240 52377 53040 53720 55505 61620 64464 65300 66300 66606 67150 67912 69836 77025 78360 80580 82160 84890 87295 88400 88808 94800 97950 100725 101868 102700 103174 104754 107440 111010 123240 127335 130600 132600 133212 134300 135824 139672 144313 154050 154761 156720 161160 166515 169780 174590 177616 195900 201450 203736 205400 206348 209508 212225 222020 246480 254670 257935 261200 261885 265200 266424 268600 277525 279344 288626 308100 309522 322320 333030 339560 349180 391800 402900 407472 410800 412696 419016 424450 432939 436475 444040 509340 515870 523770 532848 537200 555050 577252 616200 619044 636675 666060 670631 679120 698360 721565 773805 783600 805800 825392 832575 838032 848900 865878 872950 876979 888080 1018680 1031740 1047540 1110100 1154504 1232400 1238088 1273350 1289675 1309425 1332120 1341262 1396720 1443130 1547610 1611600 1665150 1697800 1731756 1745900 1753958 2011893 2037360 2063480 2095080 2164695 2220200 2309008 2476176 2546700 2579350 2618850 2630937 2664240 2682524 2886260 3095220 3330300 3353155 3395600 3463512 3491800 3507916 3607825 3869025 4023786 4126960 4190160 4329390 4384895 4440400 5093400 5158700 5237700 5261874 5365048 5772520 6190440 6660600 6706310 6927024 6983600 7015832 7215650 7738050 8047572 8658780 8769790 10059465 10186800 10317400 10475400 10523748 10730096 10823475 11400727 11545040 12380880 13154685 13321200 13412620 14031664 14431300 15476100 16095144 16765775 17317560 17539580 20118930 20634800 20950800 21047496 21646950 21924475 22801454 26309370 26825240 28862600 30952200 32190288 33531550 34202181 34635120 35079160 40237860 42094992 43293900 43848950 45602908 50297325 52618740 53650480 57003635 57725200 61904400 65773425 67063100 68404362 70158320 80475720 86587800 87697900 91205816 100594650 105237480 114007270 131546850 134126200 136808724 160951440 171010905 173175600 175395800 182411632 201189300 210474960 228014540 263093700 268252400 273617448 285018175 342021810 350791600 402378600 456029080 526187400 547234896 570036350 684043620 804757200 855054525 912058160 1052374800 1140072700 1368087240 1710109050 2280145400 2736174480 3420218100 4560290800 6840436200 13680872400
- Sum of all divisors σ(n): 50681756160
- Sum of proper divisors (its aliquot sum) s(n): 37000883760
- 13680872400 is an abundant number, because the sum of its proper divisors (37000883760) is greater than itself. Its abundance is 23320011360
Bases of 13680872400
- Binary: 11001011110111000110001011110100002
- Hexadecimal: 0x32F718BD0
- Base-36: 6A98KPC
Squares and roots of 13680872400
- 13680872400 squared (136808724002) is 187166269625081760000
- 13680872400 cubed (136808724003) is 2560597852324739398127424000000
-
The
square root of 13680872400 is 116965.2615095611 -
The
cube root of 13680872400 is 2391.6884015609
Scales and comparisons
How big is 13680872400?- 13,680,872,400 seconds is equal to 435 years, 3 days, 10 hours, 20 minutes.
-
To count from 1 to 13,680,872,400 would take you about eight hundred seventy 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 13680872400 cubic inches would be around 199.3 feet tall.
Recreational maths with 13680872400
- 13680872400 backwards is 00427808631
- 13680872400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13680872400's digits is 39
- More coming soon!
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