13728963509760
13,728,963,509,760 is an even composite number composed of six prime numbers multiplied together.
What does the number 13728963509760 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
13728963509760 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13728963509760:
29 × 3 × 5 × 1272 × 137 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 127 × 127 × 137 × 809)See below for interesting mathematical facts about the number 13728963509760 from the Numbermatics database.
Names of 13728963509760
- Cardinal: 13728963509760 can be written as Thirteen trillion, seven hundred twenty-eight billion, nine hundred sixty-three million, five hundred nine thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.372896350976 × 1013
Factors of 13728963509760
Divisors of 13728963509760
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 128 137 160 192 240 254 256 274 320 381 384 411 480 508 512 548 635 640 685 762 768 809 822 960 1016 1096 1270 1280 1370 1524 1536 1618 1644 1905 1920 2032 2055 2192 2427 2540 2560 2740 3048 3236 3288 3810 3840 4045 4064 4110 4384 4854 5080 5480 6096 6472 6576 7620 7680 8090 8128 8220 8768 9708 10160 10960 12135 12192 12944 13152 15240 16129 16180 16256 16440 17399 17536 19416 20320 21920 24270 24384 25888 26304 30480 32258 32360 32512 32880 34798 35072 38832 40640 43840 48387 48540 48768 51776 52197 52608 60960 64516 64720 65024 65760 69596 70144 77664 80645 81280 86995 87680 96774 97080 97536 102743 103552 104394 105216 110833 121920 129032 129440 131520 139192 155328 161290 162560 173990 175360 193548 194160 195072 205486 207104 208788 210432 221666 241935 243840 258064 258880 260985 263040 278384 308229 310656 322580 325120 332499 347980 350720 387096 388320 410972 414208 417576 443332 483870 487680 513715 516128 517760 521970 526080 554165 556768 616458 621312 645160 664998 695960 774192 776640 821944 835152 886664 967740 975360 1027430 1032256 1035520 1043940 1052160 1108330 1113536 1232916 1242624 1290320 1329996 1391920 1541145 1548384 1553280 1643888 1662495 1670304 1773328 1935480 2054860 2064512 2071040 2087880 2209673 2216660 2227072 2465832 2580640 2659992 2783840 3082290 3096768 3106560 3287776 3324990 3340608 3546656 3870960 4109720 4129024 4175760 4419346 4433320 4454144 4931664 5161280 5319984 5567680 6164580 6193536 6213120 6575552 6629019 6649980 6681216 7093312 7741920 8219440 8258048 8351520 8838692 8866640 8908288 9863328 10322560 10639968 11048365 11135360 12329160 12387072 13048361 13151104 13258038 13299960 13362432 14075791 14186624 15483840 16438880 16703040 17677384 17733280 19726656 20645120 21279936 22096730 22270720 24658320 24774144 26096722 26302208 26516076 26599920 26724864 28151582 28373248 30967680 32877760 33145095 33406080 35354768 35466560 39145083 39453312 41290240 42227373 42559872 44193460 44541440 49316640 52193444 52604416 53032152 53199840 56303164 56746496 61935360 65241805 65755520 66290190 66812160 70378955 70709536 70933120 78290166 78906624 84454746 85119744 88386920 98633280 104386888 106064304 106399680 112606328 123870720 130483610 131511040 132580380 133624320 140757910 141419072 141866240 156580332 157813248 168909492 170239488 176773840 195725415 197266560 208773776 211136865 212128608 212799360 225212656 260967220 263022080 265160760 281515820 282838144 283732480 313160664 337818984 353547680 391450830 394533120 417547552 422273730 424257216 425598720 450425312 521934440 530321520 563031640 565676288 626321328 675637968 707095360 782901660 789066240 835095104 844547460 848514432 851197440 900850624 1043868880 1060643040 1126063280 1131352576 1252642656 1351275936 1414190720 1565803320 1670190208 1689094920 1697028864 1787625457 1801701248 2087737760 2121286080 2252126560 2505285312 2702551872 2828381440 3131606640 3340380416 3378189840 3394057728 3575250914 3603402496 4175475520 4242572160 4504253120 5010570624 5362876371 5405103744 5656762880 6263213280 6680760832 6756379680 7150501828 7206804992 8350951040 8485144320 8938127285 9008506240 10021141248 10725752742 10810207488 12526426560 13512759360 14301003656 16701902080 16970288640 17876254570 18017012480 20042282496 21451505484 21620414976 25052853120 26814381855 27025518720 28602007312 33403804160 35752509140 36034024960 42903010968 50105706240 53628763710 54051037440 57204014624 71505018280 85806021936 100211412480 107257527420 108102074880 114408029248 143010036560 171612043872 214515054840 228816058496 286020073120 343224087744 429030109680 457632116992 572040146240 686448175488 858060219360 915264233984 1144080292480 1372896350976 1716120438720 2288160584960 2745792701952 3432240877440 4576321169920 6864481754880 13728963509760
- Sum of all divisors σ(n): 44616077557920
- Sum of proper divisors (its aliquot sum) s(n): 30887114048160
- 13728963509760 is an abundant number, because the sum of its proper divisors (30887114048160) is greater than itself. Its abundance is 17158150538400
Bases of 13728963509760
- Binary: 110001111100100001011111111000111110000000002
- Hexadecimal: 0xC7C85FE3E00
- Base-36: 4V6ZYEHHC
Squares and roots of 13728963509760
- 13728963509760 squared (137289635097602) is 188484439052321617615257600
- 13728963509760 cubed (137289635097603) is 2587695985906906203651487621422514176000
-
The
square root of 13728963509760 is 3705261.5980197675 -
The
cube root of 13728963509760 is 23944.8755151805
Scales and comparisons
How big is 13728963509760?- 13,728,963,509,760 seconds is equal to 436,538 years, 29 weeks, 5 days, 14 hours, 56 minutes.
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To count from 1 to 13,728,963,509,760 would take you about one million, ninety-one thousand, three hundred forty-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 13728963509760 cubic inches would be around 1995.4 feet tall.
Recreational maths with 13728963509760
- 13728963509760 backwards is 06790536982731
- The number of decimal digits it has is: 14
- The sum of 13728963509760's digits is 66
- More coming soon!
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