13985915716800
13,985,915,716,800 is an even composite number composed of five prime numbers multiplied together.
13985915716800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 13985915716800:
26 × 33 × 52 × 192 × 9472
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 19 × 19 × 947 × 947)See below for interesting mathematical facts about the number 13985915716800 from the Numbermatics database.
Names of 13985915716800
- Cardinal: 13985915716800 can be written as Thirteen trillion, nine hundred eighty-five billion, nine hundred fifteen million, seven hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.39859157168 × 1013
Factors of 13985915716800
Divisors of 13985915716800
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 90 95 96 100 108 114 120 135 144 150 152 160 171 180 190 192 200 216 225 228 240 270 285 288 300 304 320 342 360 361 380 400 432 450 456 475 480 513 540 570 576 600 608 675 684 720 722 760 800 855 864 900 912 947 950 960 1026 1080 1083 1140 1200 1216 1350 1368 1425 1440 1444 1520 1600 1710 1728 1800 1805 1824 1894 1900 2052 2160 2166 2280 2400 2565 2700 2736 2841 2850 2880 2888 3040 3249 3420 3600 3610 3648 3788 3800 4104 4275 4320 4332 4560 4735 4800 5130 5400 5415 5472 5682 5700 5776 6080 6498 6840 7200 7220 7576 7600 8208 8523 8550 8640 8664 9025 9120 9470 9747 10260 10800 10830 10944 11364 11400 11552 12825 12996 13680 14205 14400 14440 15152 15200 16245 16416 17046 17100 17328 17993 18050 18240 18940 19494 20520 21600 21660 22728 22800 23104 23675 25569 25650 25992 27075 27360 28410 28880 30304 30400 32490 32832 34092 34200 34656 35986 36100 37880 38988 41040 42615 43200 43320 45456 45600 47350 48735 51138 51300 51984 53979 54150 54720 56820 57760 60608 64980 68184 68400 69312 71025 71972 72200 75760 77976 81225 82080 85230 86640 89965 90912 91200 94700 97470 102276 102600 103968 107958 108300 113640 115520 127845 129960 136368 136800 142050 143944 144400 151520 155952 161937 162450 164160 170460 173280 179930 181824 189400 194940 204552 205200 207936 213075 215916 216600 227280 243675 255690 259920 269895 272736 273600 284100 287888 288800 303040 311904 323874 324900 340920 341867 346560 359860 378800 389880 409104 410400 426150 431832 433200 449825 454560 485811 487350 511380 519840 539790 545472 568200 575776 577600 623808 639225 647748 649800 681840 683734 719720 757600 779760 809685 818208 820800 852300 863664 866400 896809 899650 909120 971622 974700 1022760 1025601 1039680 1079580 1136400 1151552 1278450 1295496 1299600 1349475 1363680 1367468 1439440 1515200 1559520 1619370 1636416 1704600 1709335 1727328 1732800 1793618 1799300 1943244 1949400 2045520 2051202 2159160 2272800 2429055 2556900 2590992 2599200 2690427 2698950 2727360 2734936 2878880 3076803 3119040 3238740 3409200 3418670 3454656 3587236 3598600 3886488 3898800 4048425 4091040 4102404 4318320 4484045 4545600 4858110 5113800 5128005 5181984 5198400 5380854 5397900 5469872 5757760 6153606 6477480 6818400 6837340 7174472 7197200 7772976 7797600 8071281 8096850 8182080 8204808 8546675 8636640 8968090 9230409 9716220 10227600 10256010 10363968 10761708 10795800 10939744 12145275 12307212 12954960 13452135 13636800 13674680 14348944 14394400 15384015 15545952 15595200 16142562 16193700 16409616 17039371 17093350 17273280 17936180 18460818 19432440 20455200 20512020 21523416 21591600 21879488 22420225 24213843 24290550 24614424 25640025 25909920 26904270 27349360 28697888 28788800 30768030 31091904 32285124 32387400 32819232 34078742 34186700 35872360 36921636 38864880 40356405 40910400 41024040 43046832 43183200 44840450 46152045 48427686 48581100 49228848 51118113 51280050 51819840 53808540 54698720 57395776 61536060 64570248 64774800 65638464 67260675 68157484 68373400 71744720 73843272 76920075 77729760 80712810 82048080 85196855 86093664 86366400 89680900 92304090 96855372 97162200 98457696 102236226 102560100 107617080 109397440 121069215 123072120 129140496 129549600 134521350 136314968 136746800 143489440 147686544 153354339 153840150 155459520 161425620 164096160 170393710 172187328 179361800 184608180 193710744 194324400 196915392 201782025 204472452 205120200 215234160 230760225 242138430 246144240 255590565 258280992 259099200 269042700 272629936 273493600 286978880 295373088 306708678 307680300 322851240 323748049 328192320 340787420 358723600 369216360 387421488 388648800 403564050 408944904 410240400 425984275 430468320 460063017 461520450 484276860 492288480 511181130 516561984 538085400 545259872 546987200 590746176 605346075 613417356 615360600 645702480 647496098 681574840 717447200 738432720 766771695 774842976 777297600 807128100 817889808 820480800 851968550 860936640 920126034 923040900 968553720 971244147 984576960 1022362260 1076170800 1090519744 1210692150 1226834712 1230721200 1277952825 1291404960 1294992196 1363149680 1434894400 1476865440 1533543390 1549685952 1614256200 1618740245 1635779616 1640961600 1703937100 1840252068 1846081800 1937107440 1942488294 2044724520 2152341600 2300315085 2421384300 2453669424 2461442400 2555905650 2582809920 2589984392 2726299360 2913732441 2953730880 3067086780 3228512400 3237480490 3271559232 3407874200 3680504136 3692163600 3833858475 3874214880 3884976588 4089449040 4304683200 4600630170 4842768600 4856220735 4907338848 4922884800 5111811300 5179968784 5452598720 5827464882 6134173560 6457024800 6474960980 6815748400 7361008272 7384327200 7667716950 7748429760 7769953176 8093701225 8178898080 8741197323 9201260340 9685537200 9712441470 9814677696 10223622600 10359937568 11501575425 11654929764 12268347120 12914049600 12949921960 13631496800 14568662205 14722016544 14768654400 15335433900 15539906352 16187402450 16357796160 17482394646 18402520680 19371074400 19424882940 20447245200 20719875136 23003150850 23309859528 24281103675 24536694240 25899843920 27262993600 29137324410 29444033088 30670867800 31079812704 32374804900 34964789292 36805041360 38742148800 38849765880 40894490400 43705986615 46006301700 46619719056 48562207350 49073388480 51799687840 58274648820 61341735600 62159625408 64749609800 69929578584 72843311025 73610082720 77699531760 81788980800 87411973230 92012603400 93239438112 97124414700 103599375680 116549297640 122683471200 129499219600 139859157168 145686622050 147220165440 155399063520 174823946460 184025206800 186478876224 194248829400 218529933075 233098595280 245366942400 258998439200 279718314336 291373244100 310798127040 349647892920 368050413600 388497658800 437059866150 466197190560 517996878400 559436628672 582746488200 699295785840 736100827200 776995317600 874119732300 932394381120 1165492976400 1398591571680 1553990635200 1748239464600 2330985952800 2797183143360 3496478929200 4661971905600 6992957858400 13985915716800
- Sum of all divisors σ(n): 53865312269160
- Sum of proper divisors (its aliquot sum) s(n): 39879396552360
- 13985915716800 is an abundant number, because the sum of its proper divisors (39879396552360) is greater than itself. Its abundance is 25893480835560
Bases of 13985915716800
- Binary: 110010111000010110011000100111000100110000002
- Hexadecimal: 0xCB85989C4C0
- Base-36: 4YH1H41C0
Squares and roots of 13985915716800
- 13985915716800 squared (139859157168002) is 195605838437433257802240000
- 13985915716800 cubed (139859157168003) is 2735726770099939353747374642245632000000
-
The
square root of 13985915716800 is 3739774.8216704171 -
The
cube root of 13985915716800 is 24093.3377570551
Scales and comparisons
How big is 13985915716800?- 13,985,915,716,800 seconds is equal to 444,708 years, 44 weeks, 4 days, 12 hours.
-
To count from 1 to 13,985,915,716,800 would take you about one million, one hundred eleven thousand, seven hundred seventy-two 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 13985915716800 cubic inches would be around 2007.8 feet tall.
Recreational maths with 13985915716800
- 13985915716800 backwards is 00861751958931
- The number of decimal digits it has is: 14
- The sum of 13985915716800's digits is 63
- More coming soon!
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