13680938700
13,680,938,700 is an even composite number composed of seven prime numbers multiplied together.
13680938700 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13680938700:
22 × 32 × 52 × 11 × 133 × 17 × 37
(2 × 2 × 3 × 3 × 5 × 5 × 11 × 13 × 13 × 13 × 17 × 37)See below for interesting mathematical facts about the number 13680938700 from the Numbermatics database.
Names of 13680938700
- Cardinal: 13680938700 can be written as Thirteen billion, six hundred eighty million, nine hundred thirty-eight thousand, seven hundred.
Scientific notation
- Scientific notation: 1.36809387 × 1010
Factors of 13680938700
Divisors of 13680938700
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 13 15 17 18 20 22 25 26 30 33 34 36 37 39 44 45 50 51 52 55 60 65 66 68 74 75 78 85 90 99 100 102 110 111 117 130 132 143 148 150 153 156 165 169 170 180 185 187 195 198 204 220 221 222 225 234 255 260 275 286 300 306 325 330 333 338 340 370 374 390 396 407 425 429 442 444 450 468 481 495 507 510 550 555 561 572 585 612 629 650 660 663 666 676 715 740 748 765 780 814 825 845 850 858 884 900 925 935 962 975 990 1014 1020 1100 1105 1110 1122 1170 1221 1258 1275 1287 1300 1326 1332 1430 1443 1521 1530 1628 1650 1665 1683 1690 1700 1716 1850 1859 1870 1887 1924 1950 1980 1989 2028 2035 2145 2197 2210 2220 2244 2340 2405 2431 2442 2475 2516 2535 2550 2574 2652 2775 2805 2860 2873 2886 2925 3042 3060 3145 3300 3315 3330 3366 3380 3575 3663 3700 3718 3740 3774 3825 3900 3978 4070 4225 4290 4329 4394 4420 4675 4810 4862 4884 4950 5070 5100 5148 5291 5525 5550 5577 5610 5661 5746 5772 5850 6084 6105 6253 6290 6435 6591 6630 6660 6732 6919 7150 7215 7293 7326 7436 7548 7605 7650 7956 8140 8177 8325 8415 8450 8580 8619 8658 8788 9295 9350 9435 9620 9724 9900 9945 10140 10175 10582 10725 10985 11050 11100 11154 11220 11322 11492 11700 12025 12155 12210 12506 12580 12675 12870 13182 13260 13838 14025 14300 14365 14430 14586 14652 15210 15300 15725 15873 16354 16575 16650 16731 16830 16900 17238 17316 18315 18590 18700 18759 18870 19773 19890 20350 20757 21164 21450 21645 21879 21970 22100 22308 22644 24050 24167 24310 24420 24531 25012 25350 25740 25857 26364 26455 27676 27885 28050 28305 28730 28860 29172 30420 30525 31265 31450 31603 31746 32175 32708 32955 33150 33300 33462 33660 34476 34595 36075 36465 36630 37180 37349 37518 37740 38025 39546 39780 40700 40885 41514 42075 42900 43095 43290 43758 43940 46475 47175 47619 48100 48334 48620 49062 49725 50700 51714 52910 54925 55770 56100 56277 56610 57460 60775 61050 62271 62530 62900 63206 63492 64350 65910 66300 66924 68783 69190 71825 72150 72501 72930 73260 73593 74698 75036 76050 79092 79365 81289 81770 83028 83655 84150 86190 86580 87516 89947 91575 92950 93795 94350 94809 95238 96668 98124 98865 99450 103428 103785 105820 106301 108225 109395 109850 111540 112047 112554 113220 120835 121550 122100 122655 124542 125060 126412 128700 129285 131820 132275 137566 138380 139425 141525 143650 144300 145002 145860 147186 149396 152100 156325 158015 158730 162578 163540 164775 167310 168300 172380 172975 179894 182325 183150 185900 186745 187590 188700 189618 190476 197730 198900 204425 206349 207570 212602 215475 216450 217503 218790 219700 224094 225108 238095 241670 243100 243867 245310 249084 258570 264550 269841 275132 278850 281385 283050 284427 287300 290004 294372 311355 312650 316030 317460 318903 325156 329550 334620 336141 343915 345950 359788 362505 364650 366300 367965 373490 375180 379236 395460 396825 406445 408850 410839 412698 415140 418275 425204 430950 432900 435006 437580 448188 449735 468975 474045 476190 483340 487734 490620 494325 517140 518925 529100 531505 539682 546975 557700 560235 562770 566100 568854 604175 613275 619047 622710 625300 632060 637806 646425 659100 672282 687830 691900 725010 729300 731601 735930 746980 790075 793650 809523 812890 817700 821678 825396 836550 861900 870012 894179 899470 933725 937950 948090 952380 956709 975468 988650 1031745 1037850 1063010 1079364 1087515 1093950 1120470 1125540 1137708 1169311 1190475 1208350 1219335 1226550 1232517 1238094 1245420 1275612 1292850 1344564 1349205 1375660 1381913 1406925 1422135 1450020 1463202 1471860 1556775 1580150 1587300 1594515 1619046 1625780 1643356 1673100 1680705 1719575 1788358 1798940 1812525 1839825 1867450 1875900 1896180 1913418 1977300 2032225 2054195 2063490 2075700 2126020 2175030 2187900 2240940 2248675 2338622 2370225 2380950 2416700 2438670 2453100 2465034 2476188 2585700 2657525 2682537 2698410 2763826 2801175 2813850 2844270 2926404 3095235 3113550 3160300 3189030 3238092 3361410 3439150 3507933 3576716 3625050 3658005 3679650 3697551 3734900 3826836 4047615 4064450 4108390 4126980 4145739 4350060 4470895 4497350 4677244 4740450 4761900 4783545 4877340 4930068 5158725 5315050 5365074 5396820 5437575 5527652 5602350 5627700 5688540 5846555 6096675 6162585 6190470 6227100 6378060 6722820 6746025 6878300 6909565 7015866 7110675 7250100 7316010 7359300 7395102 7972575 8047611 8095230 8128900 8216780 8291478 8403525 8941790 8994700 9480900 9567090 10270975 10317450 10523799 10630100 10730148 10875150 11204700 11693110 12193350 12325170 12380940 12437217 13412685 13492050 13819130 14031732 14221350 14632020 14790204 15201043 15476175 15945150 16095222 16190460 16582956 16807050 17539665 17883580 18290025 18487755 19134180 20238075 20541950 20634900 20728695 21047598 21750300 22354475 23386220 23917725 24386700 24650340 24874434 26825370 26984100 27638260 28442700 29232775 30402086 30812925 30952350 31890300 32190444 33614100 34547825 35079330 36580050 36975510 40238055 40476150 41083900 41457390 42095196 44708950 45603129 47835450 49748868 52618995 53650740 58465550 60804172 61625850 61904700 62186085 67063425 69095650 70158660 73160100 73951020 76005215 80476110 80952300 82914780 87698325 89417900 91206258 92438775 95670900 103643475 105237990 116931100 123251700 124372170 134126850 136809387 138191300 152010430 160952220 175396650 182412516 184877550 201190275 207286950 210475980 228015645 248744340 263094975 268253700 273618774 304020860 310930425 350793300 369755100 380026075 402380550 414573900 456031290 526189950 547237548 621860850 684046935 760052150 804761100 912062580 1052379900 1140078225 1243721700 1368093870 1520104300 2280156450 2736187740 3420234675 4560312900 6840469350 13680938700
- Sum of all divisors σ(n): 55108347840
- Sum of proper divisors (its aliquot sum) s(n): 41427409140
- 13680938700 is an abundant number, because the sum of its proper divisors (41427409140) is greater than itself. Its abundance is 27746470440
Bases of 13680938700
- Binary: 11001011110111001010001110110011002
- Hexadecimal: 0x32F728ECC
- Base-36: 6A99ZV0
Squares and roots of 13680938700
- 13680938700 squared (136809387002) is 187168083713157690000
- 13680938700 cubed (136809387003) is 2560635079876178740323603000000
-
The
square root of 13680938700 is 116965.5449267005 -
The
cube root of 13680938700 is 2391.6922650739
Scales and comparisons
How big is 13680938700?- 13,680,938,700 seconds is equal to 435 years, 4 days, 4 hours, 45 minutes.
-
To count from 1 to 13,680,938,700 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 13680938700 cubic inches would be around 199.3 feet tall.
Recreational maths with 13680938700
- 13680938700 backwards is 00783908631
- 13680938700 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13680938700's digits is 45
- More coming soon!
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