132978988766400
132,978,988,766,400 is an even composite number composed of eight prime numbers multiplied together.
132978988766400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 132978988766400:
26 × 3 × 52 × 73 × 19 × 61 × 227 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 19 × 61 × 227 × 307)See below for interesting mathematical facts about the number 132978988766400 from the Numbermatics database.
Names of 132978988766400
- Cardinal: 132978988766400 can be written as One hundred thirty-two trillion, nine hundred seventy-eight billion, nine hundred eighty-eight million, seven hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.329789887664 × 1014
Factors of 132978988766400
Divisors of 132978988766400
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 49 50 56 57 60 61 64 70 75 76 80 84 95 96 98 100 105 112 114 120 122 133 140 147 150 152 160 168 175 183 190 192 196 200 210 224 227 228 240 244 245 266 280 285 294 300 304 305 307 320 336 343 350 366 380 392 399 400 420 427 448 454 456 475 480 488 490 525 532 560 570 588 600 608 610 614 665 672 681 686 700 732 735 760 784 798 800 840 854 908 912 915 921 931 950 960 976 980 1029 1050 1064 1120 1135 1140 1159 1176 1200 1216 1220 1225 1228 1281 1330 1344 1362 1372 1400 1425 1464 1470 1520 1525 1535 1568 1589 1596 1600 1680 1708 1715 1816 1824 1830 1842 1862 1900 1952 1960 1995 2058 2100 2128 2135 2149 2240 2270 2280 2318 2352 2400 2440 2450 2456 2562 2660 2724 2744 2793 2800 2850 2928 2940 2989 3040 3050 3070 3136 3178 3192 3325 3360 3405 3416 3430 3477 3632 3648 3660 3675 3684 3724 3800 3904 3920 3990 4116 4200 4256 4270 4298 4313 4540 4560 4575 4605 4636 4655 4704 4767 4800 4880 4900 4912 5124 5145 5320 5448 5488 5586 5600 5675 5700 5795 5833 5856 5880 5978 6080 6100 6140 6356 6384 6405 6447 6517 6650 6720 6810 6832 6860 6954 7264 7320 7350 7368 7448 7600 7675 7840 7945 7980 8113 8232 8400 8512 8540 8575 8596 8626 8967 9080 9120 9150 9210 9272 9310 9408 9534 9760 9800 9824 9975 10248 10290 10640 10675 10745 10896 10976 11123 11172 11200 11350 11400 11590 11666 11712 11760 11956 12200 12280 12712 12768 12810 12894 12939 13034 13300 13620 13664 13720 13847 13908 13965 14528 14640 14700 14736 14896 14945 15043 15200 15350 15680 15890 15960 16226 16464 16800 17025 17080 17150 17192 17252 17385 17499 17934 18160 18240 18300 18420 18544 18620 18727 19068 19520 19551 19600 19648 19950 20496 20580 20923 21280 21350 21490 21565 21792 21952 22246 22344 22700 22800 23025 23180 23275 23332 23520 23835 23912 24339 24400 24560 25424 25536 25620 25725 25788 25878 26068 26600 27240 27328 27440 27694 27816 27930 28975 29165 29280 29400 29472 29792 29890 30086 30191 30400 30700 31780 31920 32025 32235 32452 32585 32928 33369 33600 34050 34160 34300 34384 34504 34770 34998 35868 36320 36600 36840 37088 37240 37454 38136 39102 39200 39725 39900 40565 40831 40992 41160 41541 41846 42560 42700 42980 43130 43584 44492 44688 44835 45129 45400 45600 46050 46360 46550 46664 47040 47670 47824 48678 48800 49120 50848 51240 51450 51576 51756 52136 53200 53725 54480 54880 55388 55615 55632 55860 56181 56791 57950 58330 58560 58800 58944 59584 59780 60172 60382 61400 62769 63560 63840 64050 64470 64695 64904 65170 65856 66738 68100 68320 68600 68768 69008 69235 69540 69689 69825 69996 71736 72640 73200 73680 74176 74480 74725 74908 75215 76272 77861 78204 78400 79450 79800 81130 81662 81984 82320 83082 83692 85400 85960 86260 86925 87495 88984 89376 89670 90258 90573 90800 91200 92100 92720 93100 93328 93635 95340 95648 96929 97356 97600 97755 98240 101696 102480 102900 103152 103512 104272 104615 105301 106400 107450 107825 108960 109760 110776 111230 111264 111720 112362 113582 115900 116660 117600 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433156315200 435996684480 437430884100 443263295888 452309485600 466592943040 474924959880 499921010400 542771382720 544995855600 554079119860 583241178800 585810523200 593656199850 633233279840 664894943832 678464228400 692598899825 699889414560 726661140800 759879935808 791541599800 831118679790 874861768200 886526591776 904618971200 949849919760 999842020800 1089991711200 1108158239720 1166482357600 1187312399700 1266466559680 1329789887664 1356928456800 1385197799650 1399778829120 1583083199600 1662237359580 1749723536400 1773053183552 1899699839520 2077796699475 2179983422400 2216316479440 2332964715200 2374624799400 2659579775328 2713856913600 2770395599300 3166166399200 3324474719160 3499447072800 3799399679040 4155593398950 4432632958880 4749249598800 5319159550656 5540791198600 6332332798400 6648949438320 6998894145600 8311186797900 8865265917760 9498499197600 11081582397200 13297898876640 16622373595800 18996998395200 22163164794400 26595797753280 33244747191600 44326329588800 66489494383200 132978988766400
- Sum of all divisors σ(n): 548520225792000
- Sum of proper divisors (its aliquot sum) s(n): 415541237025600
- 132978988766400 is an abundant number, because the sum of its proper divisors (415541237025600) is greater than itself. Its abundance is 282562248259200
Bases of 132978988766400
- Binary: 111100011110001100101010110001101010100110000002
- Hexadecimal: 0x78F1956354C0
- Base-36: 1B4XPCHUIO
Squares and roots of 132978988766400
- 132978988766400 squared (1329789887664002) is 17683411453334337393768960000
- 132978988766400 cubed (1329789887664003) is 2351522173004575950109389985197010944000000
-
The
square root of 132978988766400 is 11531651.6061837387 -
The
cube root of 132978988766400 is 51041.9990788357
Scales and comparisons
How big is 132978988766400?- 132,978,988,766,400 seconds is equal to 4,228,320 years, 26 weeks, 4 days, 6 hours, 40 minutes.
-
To count from 1 to 132,978,988,766,400 would take you about ten million, five hundred seventy thousand, eight hundred one 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 132978988766400 cubic inches would be around 4253.5 feet tall.
Recreational maths with 132978988766400
- 132978988766400 backwards is 004667889879231
- The number of decimal digits it has is: 15
- The sum of 132978988766400's digits is 78
- More coming soon!
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"Number 132978988766400 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 132978988766400 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/132978988766400/
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The information we have on file for 132978988766400 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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