1338151142900
1,338,151,142,900 is an even composite number composed of seven prime numbers multiplied together.
1338151142900 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 1338151142900:
22 × 52 × 11 × 132 × 31 × 89 × 2609
(2 × 2 × 5 × 5 × 11 × 13 × 13 × 31 × 89 × 2609)See below for interesting mathematical facts about the number 1338151142900 from the Numbermatics database.
Names of 1338151142900
- Cardinal: 1338151142900 can be written as One trillion, three hundred thirty-eight billion, one hundred fifty-one million, one hundred forty-two thousand, nine hundred.
Scientific notation
- Scientific notation: 1.3381511429 × 1012
Factors of 1338151142900
Divisors of 1338151142900
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 5 10 11 13 20 22 25 26 31 44 50 52 55 62 65 89 100 110 124 130 143 155 169 178 220 260 275 286 310 325 338 341 356 403 445 550 572 620 650 676 682 715 775 806 845 890 979 1100 1157 1300 1364 1430 1550 1612 1690 1705 1780 1859 1958 2015 2225 2314 2609 2759 2860 3100 3380 3410 3575 3718 3916 4030 4225 4433 4450 4628 4895 5218 5239 5518 5785 6820 7150 7436 8060 8450 8525 8866 8900 9295 9790 10075 10436 10478 11036 11570 12727 13045 13795 14300 15041 16900 17050 17732 18590 19580 20150 20956 22165 23140 24475 25454 26090 26195 27590 28699 28925 30082 30349 33917 34100 35867 37180 40300 44330 46475 48950 50908 52180 52390 55180 57398 57629 57850 60164 60698 63635 65225 67834 68975 71734 75205 80879 88660 92950 97900 104780 110825 114796 115258 115700 121396 127270 130450 130975 135668 137950 143468 143495 150410 151745 161758 165451 169585 179335 185900 221650 230516 232201 254540 260900 261950 275900 286990 288145 300820 303490 318175 323516 330902 339170 358670 373087 376025 394537 404395 440921 443300 464402 466271 523900 573980 576290 606980 636350 661804 678340 717340 717475 746174 752050 758725 789074 808790 827255 847925 881842 889669 896675 928804 932542 1051427 1152580 1161005 1272700 1434950 1440725 1492348 1504100 1517450 1578148 1617580 1654510 1695850 1763684 1779338 1793350 1865084 1865435 1972685 2021975 2102854 2204605 2322010 2331355 2554211 2869900 2881450 3018613 3034900 3309020 3391700 3558676 3586700 3730870 3945370 4043950 4136275 4205708 4409210 4448345 4644020 4662710 4850131 5108422 5128981 5257135 5762900 5805025 6037226 7198231 7461740 7890740 8087900 8272550 8818420 8896690 9325420 9327175 9700262 9863425 10216844 10257962 10514270 11023025 11565697 11610050 11656775 12074452 12771055 13668551 14396462 15093065 16545100 17793380 18654350 19400524 19726850 20515924 21028540 22046050 22241725 23131394 23220100 23313550 24250655 25542110 25644905 26285675 27337102 28792924 30186130 33204743 35991155 37308700 39241969 39453700 44092100 44483450 46262788 46627100 48501310 51084220 51289810 52571350 54674204 57828485 60372260 63855275 66409486 68342755 71982310 75465325 78483938 79180541 88966900 93577003 97002620 102579620 105142700 115656970 121253275 127710550 128224525 132818972 136685510 143964620 150354061 150930650 156967876 158361082 166023715 179955775 187154006 196209845 231313940 242506550 255421100 256449050 273371020 289142425 300708122 301861300 316722164 332047430 341713775 359911550 374308012 392419690 395902705 431661659 467885015 485013100 512898100 578284850 601416244 664094860 683427550 719823100 751770305 784839380 791805410 830118575 863323318 935770030 981049225 1029347033 1156569700 1216501039 1366855100 1503540610 1583610820 1660237150 1726646636 1871540060 1962098450 1979513525 2058694066 2158308295 2339425075 2433002078 3007081220 3320474300 3758851525 3924196900 3959027050 4117388132 4316616590 4678850150 4866004156 5146735165 6082505195 7517703050 7918054100 8633233180 9357700300 10293470330 10791541475 12165010390 13381511429 15035406100 20586940660 21583082950 24330020780 25733675825 26763022858 30412525975 43166165900 51467351650 53526045716 60825051950 66907557145 102934703300 121650103900 133815114290 267630228580 334537785725 669075571450 1338151142900
- Sum of all divisors σ(n): 3581995737600
- Sum of proper divisors (its aliquot sum) s(n): 2243844594700
- 1338151142900 is an abundant number, because the sum of its proper divisors (2243844594700) is greater than itself. Its abundance is 905693451800
Bases of 1338151142900
- Binary: 100110111100100000000011000000101111101002
- Hexadecimal: 0x137900605F4
- Base-36: H2QKN20K
Squares and roots of 1338151142900
- 1338151142900 squared (13381511429002) is 1790648481244576220410000
- 1338151142900 cubed (13381511429003) is 2396158311709578883767803806589000000
-
The
square root of 1338151142900 is 1156784.8299921641 -
The
cube root of 1338151142900 is 11019.6649417837
Scales and comparisons
How big is 1338151142900?- 1,338,151,142,900 seconds is equal to 42,549 years, 3 weeks, 3 days, 10 hours, 48 minutes, 20 seconds.
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To count from 1 to 1,338,151,142,900 would take you about one hundred six thousand, three 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 1338151142900 cubic inches would be around 918.3 feet tall.
Recreational maths with 1338151142900
- 1338151142900 backwards is 0092411518331
- The number of decimal digits it has is: 13
- The sum of 1338151142900's digits is 38
- More coming soon!
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