104004426146400
104,004,426,146,400 is an even composite number composed of seven prime numbers multiplied together.
104004426146400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 104004426146400:
25 × 33 × 52 × 132 × 19 × 432 × 811
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 19 × 43 × 43 × 811)See below for interesting mathematical facts about the number 104004426146400 from the Numbermatics database.
Names of 104004426146400
- Cardinal: 104004426146400 can be written as One hundred four trillion, four billion, four hundred twenty-six million, one hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.040044261464 × 1014
Factors of 104004426146400
Divisors of 104004426146400
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 27 30 32 36 38 39 40 43 45 48 50 52 54 57 60 65 72 75 76 78 80 86 90 95 96 100 104 108 114 117 120 129 130 135 144 150 152 156 160 169 171 172 180 190 195 200 208 215 216 225 228 234 240 247 258 260 270 285 288 300 304 312 325 338 342 344 351 360 380 387 390 400 416 430 432 450 456 468 475 480 494 507 513 516 520 540 559 570 585 600 608 624 645 650 675 676 684 688 702 720 741 760 774 780 800 811 817 845 855 860 864 900 912 936 950 975 988 1014 1026 1032 1040 1075 1080 1118 1140 1161 1170 1200 1235 1248 1290 1300 1350 1352 1368 1376 1404 1425 1440 1482 1520 1521 1548 1560 1622 1634 1677 1690 1710 1720 1755 1800 1824 1849 1872 1900 1935 1950 1976 2028 2052 2064 2080 2150 2160 2223 2236 2280 2322 2340 2400 2433 2451 2470 2535 2565 2580 2600 2700 2704 2736 2795 2808 2850 2925 2964 3040 3042 3096 3120 3211 3225 3244 3268 3354 3380 3420 3440 3510 3600 3698 3705 3744 3800 3870 3900 3952 4055 4056 4085 4104 4128 4225 4275 4300 4320 4446 4472 4560 4563 4644 4680 4866 4902 4940 5031 5070 5130 5160 5200 5400 5408 5472 5547 5590 5616 5700 5805 5850 5928 6084 6175 6192 6240 6422 6450 6488 6536 6669 6708 6760 6840 6880 7020 7200 7267 7299 7353 7396 7410 7600 7605 7740 7800 7904 8110 8112 8170 8208 8385 8450 8550 8600 8775 8892 8944 9120 9126 9245 9288 9360 9633 9675 9732 9804 9880 10062 10140 10260 10320 10400 10543 10621 10800 11094 11115 11180 11232 11400 11610 11700 11856 12165 12168 12255 12350 12384 12675 12825 12844 12900 12976 13072 13338 13416 13520 13680 13975 14040 14534 14598 14706 14792 14820 15093 15200 15210 15409 15480 15600 16055 16220 16224 16340 16416 16641 16770 16900 17100 17200 17550 17784 17888 18252 18490 18525 18576 18720 19266 19350 19464 19608 19760 20124 20275 20280 20425 20520 20640 21086 21242 21600 21801 21897 22059 22188 22230 22360 22800 22815 23220 23400 23712 24037 24330 24336 24510 24700 25155 25350 25650 25688 25800 25952 26144 26676 26832 27040 27360 27735 27950 28080 28899 29025 29068 29196 29412 29584 29640 30186 30420 30818 30960 31200 31629 31863 32110 32440 32680 33282 33345 33540 33800 34200 34400 34873 35100 35131 35568 36335 36495 36504 36765 36980 37050 37152 38025 38532 38700 38928 39216 39520 40248 40550 40560 40850 41040 41925 42172 42484 43602 43794 44118 44376 44460 44720 45600 45630 46225 46227 46440 46800 48074 48165 48660 48672 49020 49400 49923 50310 50700 51300 51376 51600 52715 53105 53352 53664 55470 55575 55900 56160 57798 58050 58136 58392 58824 59168 59280 60372 60825 60840 61275 61636 61920 63258 63726 64220 64880 65360 65403 66564 66690 67080 67600 68400 69746 70200 70262 71136 72111 72670 72990 73008 73530 73960 74100 75465 76050 77045 77064 77400 77856 78432 80275 80496 81100 81120 81700 82080 83205 83850 84344 84968 86697 87204 87588 88236 88752 88920 89440 91260 92450 92454 92880 93600 94887 95589 96148 96330 97320 98040 98800 99846 100620 101400 102600 102752 103200 104619 105393 105430 106210 106704 109005 109485 110295 110940 111150 111800 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72985562208 74077226600 75584612025 76026627300 76926350700 77040315664 80003404728 80623586160 83336879925 84214110240 86670355122 88892671920 89581762400 91231952760 93027214800 96300394580 96748303392 100004255910 100779482700 101368836400 102568467600 105267637800 106671206304 109478343312 111115839900 114039940950 115560473496 120375493225 120935379240 121642603680 123082161120 127300399200 128242202400 130005532683 133339007880 134372643600 136847929140 140356850400 144450591870 148154453200 151169224050 152053254600 153852701400 154080631328 160006809456 161247172320 166673759850 171059911425 173340710244 177785343840 182463905520 186054429600 192600789160 200008511820 201558965400 202737672800 205136935200 210535275600 216675887805 218956686624 222231679800 228079881900 231120946992 240750986450 241870758480 250010639775 260011065366 266678015760 268745287200 273695858280 288901183740 296308906400 302338448100 304106509200 307705402800 320013618912 333347519700 342119822850 346681420488 361126479675 364927811040 385201578320 400017023640 403117930800 421070551200 433351775610 444463359600 456159763800 462241893984 481501972900 483741516960 500021279550 520022130732 533356031520 547391716560 577802367480 604676896200 608213018400 615410805600 650027663415 666695039400 684239645700 693362840976 722252959350 770403156640 800034047280 806235861600 866703551220 888926719200 912319527600 963003945800 1000042559100 1040044261464 1083379439025 1094783433120 1155604734960 1209353792400 1300055326830 1333390078800 1368479291400 1386725681952 1444505918700 1600068094560 1733407102440 1824639055200 1926007891600 2000085118200 2080088522928 2166758878050 2311209469920 2418707584800 2600110653660 2666780157600 2736958582800 2889011837400 3250138317075 3466814204880 3852015783200 4000170236400 4160177045856 4333517756100 5200221307320 5473917165600 5778023674800 6500276634150 6933628409760 8000340472800 8667035512200 10400442614640 11556047349600 13000553268300 17334071024400 20800885229280 26001106536600 34668142048800 52002213073200 104004426146400
- Sum of all divisors σ(n): 439490977027200
- Sum of proper divisors (its aliquot sum) s(n): 335486550880800
- 104004426146400 is an abundant number, because the sum of its proper divisors (335486550880800) is greater than itself. Its abundance is 231482124734400
Bases of 104004426146400
- Binary: 101111010010111011010101110000000100010011000002
- Hexadecimal: 0x5E976AE02260
- Base-36: 10V6Z20GO0
Squares and roots of 104004426146400
- 104004426146400 squared (1040044261464002) is 10816920658041971954232960000
- 104004426146400 cubed (1040044261464003) is 1125007625710794761345441969180665344000000
-
The
square root of 104004426146400 is 10198256.0345580657 -
The
cube root of 104004426146400 is 47027.3608828719
Scales and comparisons
How big is 104004426146400?- 104,004,426,146,400 seconds is equal to 3,307,019 years, 2 weeks, 2 days, 6 hours.
-
To count from 1 to 104,004,426,146,400 would take you about eight million, two hundred sixty-seven thousand, five hundred forty-seven 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 104004426146400 cubic inches would be around 3918.9 feet tall.
Recreational maths with 104004426146400
- 104004426146400 backwards is 004641624400401
- 104004426146400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 104004426146400's digits is 36
- More coming soon!
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"Number 104004426146400 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 104004426146400 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/104004426146400/
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The information we have on file for 104004426146400 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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