13138290617400
13,138,290,617,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13138290617400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
13138290617400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13138290617400:
23 × 33 × 52 × 132 × 53 × 612 × 73
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 53 × 61 × 61 × 73)See below for interesting mathematical facts about the number 13138290617400 from the Numbermatics database.
Names of 13138290617400
- Cardinal: 13138290617400 can be written as Thirteen trillion, one hundred thirty-eight billion, two hundred ninety million, six hundred seventeen thousand, four hundred.
Scientific notation
- Scientific notation: 1.31382906174 × 1013
Factors of 13138290617400
Divisors of 13138290617400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 27 30 36 39 40 45 50 52 53 54 60 61 65 72 73 75 78 90 100 104 106 108 117 120 122 130 135 146 150 156 159 169 180 183 195 200 212 216 219 225 234 244 260 265 270 292 300 305 312 318 325 338 351 360 365 366 390 424 438 450 468 477 488 507 520 530 540 549 584 585 600 610 636 650 657 675 676 689 702 730 732 780 793 795 845 876 900 915 936 949 954 975 1014 1060 1080 1095 1098 1170 1220 1272 1300 1314 1325 1350 1352 1378 1404 1431 1460 1464 1521 1525 1560 1586 1590 1647 1690 1752 1755 1800 1825 1830 1898 1908 1950 1971 2028 2067 2120 2190 2196 2340 2379 2385 2440 2535 2600 2628 2650 2700 2745 2756 2808 2847 2862 2920 2925 3042 3050 3172 3180 3233 3285 3294 3380 3445 3510 3650 3660 3721 3796 3816 3869 3900 3942 3965 3975 4056 4134 4225 4380 4392 4453 4563 4575 4680 4745 4758 4770 5070 5256 5300 5400 5475 5490 5512 5694 5724 5850 6084 6100 6201 6344 6360 6466 6570 6588 6760 6890 7020 7137 7155 7300 7320 7442 7592 7605 7738 7800 7884 7930 7950 8235 8268 8450 8541 8760 8775 8906 8957 9126 9150 9490 9516 9540 9699 9855 10140 10309 10335 10600 10950 10980 11163 11388 11448 11607 11700 11895 11925 12168 12200 12337 12402 12675 12932 13140 13176 13359 13725 13780 14040 14235 14274 14310 14600 14884 15210 15476 15768 15860 15900 16165 16425 16470 16536 16900 17082 17225 17550 17812 17914 18252 18300 18603 18605 18980 19032 19080 19345 19398 19710 19825 20280 20618 20670 21411 21900 21960 22265 22326 22776 22815 23214 23400 23725 23790 23850 24674 24804 25350 25623 25864 26280 26718 26871 27450 27560 28470 28548 28620 29097 29768 30420 30927 30952 31005 31720 31800 32330 32850 32940 33489 33800 34164 34450 34821 35100 35624 35685 35775 35828 36504 36600 37011 37206 37210 37960 38025 38690 38796 39420 39650 40077 41175 41236 41340 42029 42705 42822 43800 44530 44652 44785 45630 46428 47450 47580 47700 48373 48495 49275 49348 49608 50297 50700 51246 51545 51675 53436 53742 54900 55815 56940 57096 57240 57889 58035 58194 59475 60840 61685 61854 62010 64660 65700 65880 66795 66978 68328 68900 69642 70200 71175 71370 71550 71656 74022 74412 74420 76050 77380 77592 78840 79300 80154 80613 80825 82350 82472 82680 84058 85410 85644 87291 89060 89304 89570 91260 92781 92856 93015 93025 94900 95160 95400 96725 96746 96990 98550 98696 100467 100594 101400 102492 103090 103350 104463 106872 107055 107484 109800 111033 111325 111630 113880 114075 115778 116070 116388 118950 120231 123370 123708 124020 126087 128115 129320 131400 133590 133956 134355 137800 139284 142350 142740 143100 145119 145485 148044 148824 148840 150891 152100 154635 154760 155025 158600 160308 161226 161650 164700 167445 168116 170820 171288 173667 174105 174582 178120 178425 179140 182520 185055 185562 186030 186050 189800 193450 193492 193980 197100 197213 200385 200934 201188 204984 206180 206700 208926 210145 213525 214110 214968 222066 222650 223260 223925 228150 231556 232140 232776 236009 237900 240462 241839 241865 242475 246740 247416 248040 251485 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33687924660 35896968900 35995316760 36495251715 37431027400 38870682300 40425509592 41315379300 42109905825 43076362680 43794302058 44994145950 48660335620 49578455160 50531886990 53845453350 56146541100 58392402744 59992194600 60825419525 61973068950 65691453087 67375849320 71793937800 72990503430 77741364600 82630758600 84219811650 87588604116 89988291900 97320671240 101063773980 107690906700 109485755145 112293082200 121650839050 123946137900 126329717475 131382906174 145981006860 168439623300 175177208232 179976583800 182476258575 202127547960 215381813400 218971510290 243301678100 247892275800 252659434950 262765812348 291962013720 328457265435 336879246600 364952517150 437943020580 486603356200 505318869900 525531624696 547428775725 656914530870 729905034300 875886041160 1010637739800 1094857551450 1313829061740 1459810068600 1642286327175 2189715102900 2627658123480 3284572654350 4379430205800 6569145308700 13138290617400
- Sum of all divisors σ(n): 51454795298400
- Sum of proper divisors (its aliquot sum) s(n): 38316504681000
- 13138290617400 is an abundant number, because the sum of its proper divisors (38316504681000) is greater than itself. Its abundance is 25178214063600
Bases of 13138290617400
- Binary: 101111110010111111110010010100101100001110002
- Hexadecimal: 0xBF2FF252C38
- Base-36: 4NNNB0GU0
Squares and roots of 13138290617400
- 13138290617400 squared (131382906174002) is 172614680347260873182760000
- 13138290617400 cubed (131382906174003) is 2267861835231917703927186983436024000000
-
The
square root of 13138290617400 is 3624678.0018920301 -
The
cube root of 13138290617400 is 23596.4292556799
Scales and comparisons
How big is 13138290617400?- 13,138,290,617,400 seconds is equal to 417,757 years, 19 hours, 30 minutes.
-
To count from 1 to 13,138,290,617,400 would take you about one million, forty-four thousand, three hundred ninety-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 13138290617400 cubic inches would be around 1966.4 feet tall.
Recreational maths with 13138290617400
- 13138290617400 backwards is 00471609283131
- 13138290617400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13138290617400's digits is 45
- More coming soon!
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"Number 13138290617400 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 13138290617400 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/13138290617400/
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The information we have on file for 13138290617400 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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