13681313100
13,681,313,100 is an even composite number composed of seven prime numbers multiplied together.
13681313100 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 13681313100:
22 × 35 × 52 × 7 × 13 × 23 × 269
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 23 × 269)See below for interesting mathematical facts about the number 13681313100 from the Numbermatics database.
Names of 13681313100
- Cardinal: 13681313100 can be written as Thirteen billion, six hundred eighty-one million, three hundred thirteen thousand, one hundred.
Scientific notation
- Scientific notation: 1.36813131 × 1010
Factors of 13681313100
Divisors of 13681313100
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 23 25 26 27 28 30 35 36 39 42 45 46 50 52 54 60 63 65 69 70 75 78 81 84 90 91 92 100 105 108 115 117 126 130 135 138 140 150 156 161 162 175 180 182 189 195 207 210 225 230 234 243 252 260 269 270 273 276 299 300 315 322 324 325 345 350 351 364 378 390 405 414 420 450 455 460 468 483 486 525 538 540 546 567 575 585 598 621 630 644 650 675 690 700 702 756 780 805 807 810 819 828 897 900 910 945 966 972 975 1035 1050 1053 1076 1092 1134 1150 1170 1196 1215 1242 1260 1300 1345 1350 1365 1380 1404 1449 1495 1575 1610 1614 1620 1638 1701 1725 1755 1794 1820 1863 1883 1890 1932 1950 2025 2070 2093 2100 2106 2268 2275 2300 2340 2415 2421 2430 2457 2484 2690 2691 2700 2730 2835 2898 2925 2990 3105 3150 3159 3220 3228 3276 3402 3450 3497 3510 3588 3726 3766 3780 3900 4025 4035 4050 4095 4140 4186 4212 4347 4485 4550 4725 4830 4842 4860 4914 5175 5265 5380 5382 5460 5589 5649 5670 5796 5850 5980 6075 6187 6210 6279 6300 6318 6725 6804 6825 6900 6994 7020 7245 7263 7371 7452 7475 7532 8050 8070 8073 8100 8190 8372 8505 8694 8775 8970 9100 9315 9415 9450 9660 9684 9828 10350 10465 10491 10530 10764 11178 11298 11340 11700 12075 12105 12150 12285 12374 12420 12558 12636 13041 13450 13455 13650 13988 14175 14490 14526 14742 14950 15525 15795 16100 16140 16146 16380 16947 17010 17388 17485 17550 17940 18561 18630 18830 18837 18900 20175 20475 20700 20930 20982 21060 21735 21789 22113 22356 22425 22596 24150 24210 24219 24300 24479 24570 24748 25116 26082 26325 26900 26910 27300 27945 28245 28350 28980 29052 29484 29900 30935 31050 31395 31473 31590 32292 33894 34020 34970 35100 36225 36315 36855 37122 37260 37660 37674 39123 40350 40365 40950 41860 41964 42525 43309 43470 43578 44226 44850 46575 47075 48300 48420 48438 48958 49140 50841 52164 52325 52455 52650 53820 55683 55890 56490 56511 56700 60525 61425 61870 62100 62790 62946 63180 65205 65367 67275 67788 69940 72450 72630 72657 73437 73710 74244 75348 78246 78975 80431 80700 80730 81900 84735 85050 86618 86940 87156 87425 88452 89700 92805 93150 94150 94185 94419 96876 97916 101682 104650 104910 105300 108675 108945 110565 111366 111780 112980 113022 121050 121095 122395 122850 123740 125580 125892 129927 130410 130734 134550 139725 141225 144900 145260 145314 146874 147420 152523 154675 156492 156975 157365 157950 160862 161460 167049 169470 169533 170100 173236 174850 181575 184275 185610 186300 188300 188370 188838 195615 201825 203364 209300 209820 216545 217350 217890 220311 221130 222732 226044 241293 242100 242190 244790 245700 254205 259854 260820 261468 262275 269100 278415 279450 282450 282555 283257 290628 293748 305046 309350 313950 314730 315900 321724 326025 326835 334098 338940 339066 349700 363150 363285 367185 368550 371220 376740 377676 389781 391230 402155 403650 423675 433090 434700 435780 440622 442260 457569 464025 470925 472095 482586 484380 489580 501147 508410 508599 519708 524550 544725 552825 556830 558900 563017 564900 565110 566514 605475 610092 611975 618700 627900 629460 649635 652050 653670 660933 668196 678132 723879 726300 726570 734370 737100 762615 779562 782460 786825 804310 807300 835245 847350 847665 849771 866180 881244 915138 928050 941850 944190 965172 978075 1002294 1016820 1017198 1049100 1082725 1089450 1101555 1105650 1113660 1126034 1130220 1133028 1169343 1206465 1210950 1223950 1271025 1299270 1304100 1307340 1321866 1392075 1412775 1416285 1447758 1453140 1468740 1503441 1525230 1559124 1573650 1608620 1634175 1670490 1689051 1694700 1695330 1699542 1816425 1830276 1835925 1856100 1883700 1888380 1948905 1956150 1982799 2004588 2010775 2034396 2165450 2171637 2178900 2203110 2211300 2252068 2287845 2338686 2360475 2412930 2421900 2447900 2505735 2542050 2542995 2598540 2643732 2784150 2815085 2825550 2832570 2895516 3006882 3050460 3147300 3248175 3268350 3304665 3340980 3378102 3390660 3399084 3508029 3619395 3632850 3671850 3813075 3897810 3912300 3965598 4021550 4176225 4238325 4248855 4330900 4343274 4406220 4575690 4677372 4720950 4825860 5011470 5067153 5084100 5085990 5507775 5568300 5630170 5651100 5665140 5846715 5948397 6013764 6032325 6496350 6514911 6536700 6609330 6756204 7016058 7081425 7238790 7265700 7343700 7517205 7626150 7795620 7931196 8043100 8352450 8445255 8476650 8497710 8686548 9151380 9441900 9744525 9913995 10022940 10134306 10171980 10524087 10858185 11015550 11260340 11439225 11693430 11896794 12064650 12528675 12714975 12992700 13029822 13218660 14032116 14075425 14162850 14477580 15034410 15201459 15252300 16523325 16704900 16890510 16953300 16995420 17540145 18096975 19489050 19544733 19827990 20268612 21048174 21244275 21716370 22031100 22878450 23386860 23793588 24129300 25057350 25335765 25429950 26059644 28150850 28325700 29233575 29741985 30068820 30402918 32574555 33046650 33781020 35080290 36193950 37586025 38978100 39089466 39655980 42096348 42226275 42488550 43432740 45604377 45756900 49569975 50114700 50671530 50859900 52620435 54290925 56301700 58467150 59483970 60805836 65149110 66093300 70160580 72387900 75172050 76007295 78178932 84452550 84977100 87700725 91208754 97723665 99139950 101343060 105240870 108581850 116934300 118967940 126678825 130298220 136813131 148709925 150344100 152014590 162872775 168905100 175401450 182417508 195447330 198279900 210481740 217163700 228021885 253357650 263102175 273626262 297419850 304029180 325745550 350802900 380036475 390894660 456043770 488618325 506715300 526204350 547252524 594839700 651491100 684065655 760072950 912087540 977236650 1052408700 1140109425 1368131310 1520145900 1954473300 2280218850 2736262620 3420328275 4560437700 6840656550 13681313100
- Sum of all divisors σ(n): 57326330880
- Sum of proper divisors (its aliquot sum) s(n): 43645017780
- 13681313100 is an abundant number, because the sum of its proper divisors (43645017780) is greater than itself. Its abundance is 29963704680
Bases of 13681313100
- Binary: 11001011110111100001000101010011002
- Hexadecimal: 0x32F78454C
- Base-36: 6A9I0R0
Squares and roots of 13681313100
- 13681313100 squared (136813131002) is 187178328140231610000
- 13681313100 cubed (136813131003) is 2560845312821049362927091000000
-
The
square root of 13681313100 is 116967.1453870701 -
The
cube root of 13681313100 is 2391.7140823247
Scales and comparisons
How big is 13681313100?- 13,681,313,100 seconds is equal to 435 years, 1 week, 1 day, 12 hours, 45 minutes.
-
To count from 1 to 13,681,313,100 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 13681313100 cubic inches would be around 199.3 feet tall.
Recreational maths with 13681313100
- 13681313100 backwards is 00131318631
- 13681313100 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13681313100's digits is 27
- More coming soon!
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