13268417900400
13,268,417,900,400 is an even composite number composed of seven prime numbers multiplied together.
13268417900400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13268417900400:
24 × 38 × 52 × 13 × 23 × 37 × 457
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 23 × 37 × 457)See below for interesting mathematical facts about the number 13268417900400 from the Numbermatics database.
Names of 13268417900400
- Cardinal: 13268417900400 can be written as Thirteen trillion, two hundred sixty-eight billion, four hundred seventeen million, nine hundred thousand, four hundred.
Scientific notation
- Scientific notation: 1.32684179004 × 1013
Factors of 13268417900400
Divisors of 13268417900400
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 25 26 27 30 36 37 39 40 45 46 48 50 52 54 60 65 69 72 74 75 78 80 81 90 92 100 104 108 111 115 117 120 130 135 138 144 148 150 156 162 180 184 185 195 200 207 208 216 222 225 230 234 240 243 260 270 276 296 299 300 312 324 325 333 345 351 360 368 370 390 400 405 414 432 444 450 457 460 468 481 486 520 540 552 555 575 585 592 598 600 621 624 648 650 666 675 690 702 720 729 740 780 810 828 851 888 897 900 914 920 925 936 962 972 975 999 1035 1040 1053 1080 1104 1110 1150 1170 1196 1200 1215 1242 1296 1300 1332 1350 1371 1380 1404 1443 1458 1480 1495 1560 1620 1656 1665 1702 1725 1755 1776 1794 1800 1828 1840 1850 1863 1872 1924 1944 1950 1998 2025 2070 2106 2160 2187 2220 2285 2300 2340 2392 2405 2430 2484 2553 2600 2664 2691 2700 2742 2760 2775 2808 2886 2916 2925 2960 2990 2997 3105 3120 3159 3240 3312 3330 3404 3450 3510 3588 3600 3645 3656 3700 3726 3848 3888 3900 3996 4050 4113 4140 4212 4255 4329 4374 4440 4485 4570 4600 4680 4784 4810 4860 4968 4995 5106 5175 5200 5265 5328 5382 5400 5484 5520 5550 5589 5616 5772 5832 5850 5941 5980 5994 6075 6210 6318 6480 6561 6660 6808 6855 6900 7020 7176 7215 7290 7312 7400 7452 7475 7659 7696 7800 7992 8073 8100 8226 8280 8325 8424 8510 8658 8748 8775 8880 8970 8991 9140 9200 9315 9360 9477 9620 9720 9936 9990 10212 10350 10511 10530 10764 10800 10935 10968 11063 11100 11178 11425 11544 11664 11700 11882 11960 11988 12025 12150 12339 12420 12636 12765 12987 13122 13320 13455 13616 13710 13800 14040 14352 14430 14580 14800 14904 14950 14985 15318 15525 15600 15795 15984 16146 16200 16452 16560 16650 16767 16848 16909 17020 17316 17496 17550 17823 17940 17982 18225 18280 18630 18954 19240 19440 19980 20424 20565 20700 21022 21060 21275 21528 21645 21870 21936 22126 22200 22356 22425 22850 22977 23088 23400 23764 23920 23976 24050 24219 24300 24678 24840 24975 25272 25530 25974 26244 26325 26640 26910 26973 27420 27600 27945 28080 28431 28860 29160 29705 29808 29900 29970 30636 31050 31533 31590 32292 32400 32805 32904 33189 33300 33534 33818 34040 34275 34632 34992 35100 35646 35880 35964 36075 36450 36560 37017 37260 37908 38295 38480 38961 39960 40365 40848 41130 41400 42044 42120 42550 43056 43290 43740 44252 44400 44712 44850 44955 45700 45954 46575 46800 47385 47528 47952 48100 48438 48600 49356 49680 49950 50301 50544 50727 51060 51948 52488 52555 52650 53469 53820 53946 54675 54840 55315 55890 56862 57720 58320 59410 59800 59940 61272 61695 62100 63066 63180 63825 64584 64935 65610 65808 66378 66600 67068 67275 67636 68080 68550 68931 69264 70200 71292 71760 71928 72150 72657 72900 74034 74520 74925 75816 76590 77922 78975 79920 80730 80919 82260 82800 83835 84088 84240 84545 85100 85293 86580 87480 88504 89115 89424 89700 89910 91400 91908 93150 94599 94770 95056 96200 96876 97200 98712 99567 99900 100602 101454 102120 102825 103896 104976 105110 105300 106938 107640 107892 108225 109350 109680 110630 111051 111780 113724 114885 115440 116883 118820 119600 119880 121095 122544 123390 124200 126132 126360 127650 129168 129870 131220 132756 133200 134136 134550 134865 135272 136643 137100 137862 139725 140400 142155 142584 143856 144300 145314 145800 148068 148525 149040 149850 150903 151632 152181 153180 155844 157665 157950 160407 161460 161838 164025 164520 165945 167670 168176 169090 170200 170586 173160 174960 177008 178230 179400 179820 182800 183816 185085 186300 189198 189540 191475 192400 193752 194805 197424 199134 199800 201204 201825 202908 204240 205650 206793 207792 210220 210600 213876 215280 215784 216450 217971 218700 219817 221260 222102 223560 224775 227448 229770 233766 236925 237640 239760 242190 242757 246780 248400 251505 252264 252720 253635 255300 259740 262440 262775 265512 267345 268272 269100 269730 270544 273286 274200 275724 276575 279450 283797 284310 285168 288600 290628 291600 296136 297050 298701 299700 301806 304362 306360 308475 311688 315330 315900 320814 322920 323676 324675 328050 329040 331890 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1442219337 1451686860 1475744400 1479199320 1494191205 1512070416 1516737300 1532503800 1559156040 1575073350 1593803952 1602465930 1612985400 1638076284 1643554800 1660212450 1701079218 1724066775 1732395600 1775039184 1780517700 1793029446 1814608575 1820084760 1839004560 1848999150 1890088020 1922959116 1935582480 1948945050 1992254940 2022316400 2047595355 2100097800 2136621240 2184101712 2213616600 2218798980 2233364400 2268105624 2275105950 2298755700 2362610025 2374023600 2390705928 2403698895 2419478100 2457114426 2465332200 2490318675 2520117360 2551618827 2563945488 2598593400 2656339920 2670776550 2730127140 2758506840 2773498725 2835132030 2884438674 2903373720 2958398640 2988382410 3033474600 3065007600 3118312080 3150146700 3204931860 3225970800 3276152568 3320424900 3402158436 3412658925 3448133550 3561035400 3586058892 3629217150 3640169520 3685671639 3697998300 3780176040 3845918232 3897890100 3984509880 4006164825 4095190710 4200195600 4252698045 4273242480 4427233200 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19229591160 19656915408 19922549400 20412950616 20475953550 21263490225 21366212400 22114029834 22187989800 22412868075 22681056240 23075509392 23907059280 24036988950 24571144260 25516188270 27301271400 27585068400 28351320300 28844386740 29033737200 29485373112 29883824100 30713930325 32049318600 32761525680 33171044751 34021584360 35860588920 36055483425 36856716390 37801760400 38459182320 39845098800 40825901232 40951907100 42526980450 44228059668 44375979600 44825736150 48073977900 49142288520 51032376540 54602542800 55285074585 56702640600 57688773480 58970746224 59767648200 61427860650 63790470675 64098637200 66342089502 68043168720 71721177840 72110966850 73713432780 81903814200 85053960900 88456119336 89651472300 92141790975 96147955800 98284577040 102064753080 110570149170 113405281200 115377546960 119535296400 122855721300 127580941350 132684179004 144221933700 147426865560 163807628400 165855223755 170107921800 176912238672 179302944600 184283581950 192295911600 204129506160 221140298340 245711442600 255161882700 265368358008 276425372925 288443867400 294853731120 331710447510 340215843600 358605889200 368567163900 442280596680 491422885200 510323765400 530736716016 552850745850 576887734800 663420895020 737134327800 829276118775 884561193360 1020647530800 1105701491700 1326841790040 1474268655600 1658552237550 2211402983400 2653683580080 3317104475100 4422805966800 6634208950200 13268417900400
- Sum of all divisors σ(n): 55303290404544
- Sum of proper divisors (its aliquot sum) s(n): 42034872504144
- 13268417900400 is an abundant number, because the sum of its proper divisors (42034872504144) is greater than itself. Its abundance is 28766454603744
Bases of 13268417900400
- Binary: 110000010001010010110101010111101111011100002
- Hexadecimal: 0xC114B55EF70
- Base-36: 4PBFDFR00
Squares and roots of 13268417900400
- 13268417900400 squared (132684179004002) is 176050913579655144320160000
- 13268417900400 cubed (132684179004003) is 2335917093122069758156556332592064000000
-
The
square root of 13268417900400 is 3642583.9592794563 -
The
cube root of 13268417900400 is 23674.0765290153
Scales and comparisons
How big is 13268417900400?- 13,268,417,900,400 seconds is equal to 421,894 years, 33 weeks, 4 days, 15 hours.
-
To count from 1 to 13,268,417,900,400 would take you about one million, fifty-four thousand, seven hundred thirty-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 13268417900400 cubic inches would be around 1972.8 feet tall.
Recreational maths with 13268417900400
- 13268417900400 backwards is 00400971486231
- 13268417900400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13268417900400's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 13268417900400 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 13268417900400 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/13268417900400/
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The information we have on file for 13268417900400 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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