13870087013664
13,870,087,013,664 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13870087013664 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
13870087013664 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13870087013664:
25 × 34 × 7 × 17 × 73 × 331 × 1861
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 17 × 73 × 331 × 1861)See below for interesting mathematical facts about the number 13870087013664 from the Numbermatics database.
Names of 13870087013664
- Cardinal: 13870087013664 can be written as Thirteen trillion, eight hundred seventy billion, eighty-seven million, thirteen thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.3870087013664 × 1013
Factors of 13870087013664
Divisors of 13870087013664
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 51 54 56 63 68 72 73 81 84 96 102 108 112 119 126 136 144 146 153 162 168 189 204 216 219 224 238 252 272 288 292 306 324 331 336 357 378 408 432 438 459 476 504 511 544 567 584 612 648 657 662 672 714 756 816 864 876 918 952 993 1008 1022 1071 1134 1168 1224 1241 1296 1314 1324 1377 1428 1512 1533 1632 1752 1836 1861 1904 1971 1986 2016 2044 2142 2268 2317 2336 2448 2482 2592 2628 2648 2754 2856 2979 3024 3066 3213 3504 3672 3722 3723 3808 3942 3972 4088 4284 4536 4599 4634 4896 4964 5256 5296 5508 5583 5627 5712 5913 5958 6048 6132 6426 6951 7008 7344 7444 7446 7884 7944 8176 8568 8687 8937 9072 9198 9268 9639 9928 10512 10592 11016 11166 11169 11254 11424 11826 11916 12264 12852 13027 13797 13902 14688 14888 14892 15768 15888 16352 16749 16881 17136 17374 17874 18144 18396 18536 19278 19856 20853 21024 22032 22332 22338 22508 23652 23832 24163 24528 25704 26054 26061 26811 27594 27804 29776 29784 31536 31637 31776 33498 33507 33762 34272 34748 35748 36792 37072 38556 39081 39389 39712 41391 41706 44064 44664 44676 45016 47304 47664 48326 49056 50247 50643 51408 52108 52122 53622 55188 55608 59552 59568 62559 63072 63274 66996 67014 67524 69496 71496 72489 73584 74144 77112 78162 78183 78778 82782 83412 89328 89352 90032 94608 94911 95328 96652 100494 100521 101286 102816 104216 104244 107244 110376 111216 117243 118167 119136 125118 126548 133992 134028 135048 135853 138992 142992 144978 147168 150741 151929 154224 156324 156366 157556 165564 166824 169141 178656 178704 180064 187677 189216 189822 193304 200988 201042 202572 208432 208488 214488 217467 220752 221459 222432 234486 234549 236334 250236 253096 267984 268056 270096 271706 277984 284733 285984 289956 301482 303858 308448 312648 312732 315112 331128 333648 338282 351729 354501 357408 375354 379644 386608 401976 402084 405144 407559 410771 416864 416976 428976 434934 441504 442918 455787 468972 469098 472668 500472 506192 507423 535968 536112 540192 543412 569466 579912 602964 607716 615991 625296 625464 630224 652401 662256 664377 667296 676564 703458 703647 709002 750708 759288 773216 803952 804168 810288 815118 821542 833952 854199 857952 869868 885836 911574 937944 938196 945336 950971 1000944 1012384 1014846 1055187 1063503 1072224 1086824 1138932 1159824 1205928 1215432 1222677 1231982 1232313 1250592 1250928 1260448 1304802 1324512 1328754 1353128 1406916 1407294 1418004 1501416 1518576 1522269 1607904 1608336 1620576 1630236 1643084 1708398 1739736 1771672 1823148 1847973 1875888 1876392 1890672 1901942 1957203 1993131 2001888 2029692 2110374 2127006 2173648 2277864 2309501 2319648 2411856 2430864 2445354 2463964 2464626 2501856 2562597 2609604 2657508 2706256 2813832 2814588 2836008 2852913 2875397 3002832 3037152 3044538 3190509 3216672 3260472 3286168 3416796 3479472 3543344 3646296 3668031 3695946 3696939 3751776 3752784 3781344 3803884 3914406 3986262 4059384 4220748 4254012 4311937 4347296 4555728 4566807 4619002 4823712 4861728 4890708 4927928 4929252 5125194 5219208 5315016 5412512 5543919 5627664 5629176 5672016 5705826 5750794 5979393 6005664 6089076 6381018 6520944 6572336 6833592 6928503 6958944 7086688 7292592 7336062 7391892 7393878 7505568 7607768 7828812 7972524 8118768 8441496 8508024 8558739 8623874 8626191 9111456 9133614 9238004 9781416 9855856 9858504 10250388 10438416 10471847 10630032 11004093 11087838 11090817 11255328 11258352 11344032 11411652 11501588 11958786 12178152 12762036 12935811 13041888 13144672 13667184 13700421 13857006 14585184 14672124 14783784 14787756 15215536 15657624 15945048 16166507 16237536 16631757 16882992 17016048 17117478 17247748 17252382 17938179 18267228 18476008 19562832 19711712 19717008 20500776 20785509 20876832 20943694 21260064 22008186 22175676 22181634 22516704 22823304 23003176 23917572 24356304 25524072 25676217 25871622 25878573 27334368 27400842 27714012 29344248 29567568 29575512 30431072 31315248 31415541 31890096 32333014 33263514 33272451 33765984 34032096 34234956 34495496 34504764 35876358 36534456 36952016 38807433 39125664 39434016 41001552 41571018 41887388 44016372 44351352 44363268 44967343 45646608 46006352 47835144 48499521 48712608 49895271 51048144 51352434 51743244 51757146 54801684 55428024 58688496 59135136 59151024 62356527 62630496 62831082 63780192 64666028 66527028 66544902 68469912 68990992 69009528 71752716 73068912 73302929 73904032 77028651 77614866 77635719 82003104 83142036 83774776 88032744 88702704 88726536 89934686 91293216 92012704 94246623 95670288 96999042 99790542 102096288 102704868 103486488 103514292 109603368 110856048 116422299 117376992 118302048 124713054 125662164 129332056 133054056 133089804 134902029 136939824 137981984 138019056 143505432 145498563 146137824 146605858 154057302 155229732 155271438 166284072 167549552 176065488 177405408 177453072 179869372 187069581 188493246 191340576 193998084 199581084 205409736 206972976 207028584 219206736 219908787 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1888628406 1979179083 1995408864 2158432464 2261918952 2293334493 2327977008 2345693728 2428236522 2464916832 2484343008 2518171208 2618974134 2638905444 2794135176 2832942609 2993113296 3015891936 3057779324 3237648696 3392878428 3491965512 3518540592 3642354783 3725513568 3726514512 3777256812 3958358166 4316864928 4523837904 4586668986 4655954016 4856473044 5036342416 5237948268 5277810888 5351113817 5588270352 5665885218 5937537249 5986226592 6115558648 6475297392 6785756856 6880003479 6983931024 7037081184 7284709566 7453029024 7554513624 7916716332 8498827827 9047675808 9173337972 9712946088 10072684832 10475896536 10555621776 10702227634 11176540704 11331770436 11875074498 12231117296 12950594784 13571513712 13760006958 13967862048 14569419132 15109027248 15833432664 16053341451 16997655654 18346675944 19425892176 20640010437 20951793072 21111243552 21404455268 22663540872 23750148996 24462234592 25496483481 27143027424 27520013916 29138838264 30218054496 31666865328 32106682902 33995311308 36693351888 38851784352 41280020874 41903586144 42808910536 45327081744 47500297992 48160024353 50992966962 55040027832 58277676528 61920031311 63333730656 64213365804 67990622616 73386703776 82560041748 85617821072 90654163488 95000595984 96320048706 101985933924 110080055664 116555353056 123840062622 128426731608 135981245232 144480073059 165120083496 171235642144 190001191968 192640097412 203971867848 220160111328 247680125244 256853463216 271962490464 288960146118 330240166992 385280194824 407943735696 433440219177 495360250488 513706926432 577920292236 660480333984 770560389648 815887471392 866880438354 990720500976 1155840584472 1541120779296 1733760876708 1981441001952 2311681168944 3467521753416 4623362337888 6935043506832 13870087013664
- Sum of all divisors σ(n): 50215511630592
- Sum of proper divisors (its aliquot sum) s(n): 36345424616928
- 13870087013664 is an abundant number, because the sum of its proper divisors (36345424616928) is greater than itself. Its abundance is 22475337603264
Bases of 13870087013664
- Binary: 110010011101011000011001110000000101001000002
- Hexadecimal: 0xC9D619C0520
- Base-36: 4WZTVOY00
Squares and roots of 13870087013664
- 13870087013664 squared (138700870136642) is 192379313766610737722704896
- 13870087013664 cubed (138700870136643) is 2668317821571859570655067903088991698944
-
The
square root of 13870087013664 is 3724256.5719434529 -
The
cube root of 13870087013664 is 24026.6411416229
Scales and comparisons
How big is 13870087013664?- 13,870,087,013,664 seconds is equal to 441,025 years, 44 weeks, 6 days, 12 hours, 14 minutes, 24 seconds.
-
To count from 1 to 13,870,087,013,664 would take you about one million, one hundred two thousand, five hundred sixty-four 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 13870087013664 cubic inches would be around 2002.2 feet tall.
Recreational maths with 13870087013664
- 13870087013664 backwards is 46631078007831
- 13870087013664 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13870087013664's digits is 54
- More coming soon!
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The information we have on file for 13870087013664 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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