132813405760
132,813,405,760 is an even composite number composed of seven prime numbers multiplied together.
132813405760 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 132813405760:
26 × 5 × 7 × 17 × 41 × 257 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 17 × 41 × 257 × 331)See below for interesting mathematical facts about the number 132813405760 from the Numbermatics database.
Names of 132813405760
- Cardinal: 132813405760 can be written as One hundred thirty-two billion, eight hundred thirteen million, four hundred five thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.3281340576 × 1011
Factors of 132813405760
Divisors of 132813405760
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 41 56 64 68 70 80 82 85 112 119 136 140 160 164 170 205 224 238 257 272 280 287 320 328 331 340 410 448 476 514 544 560 574 595 656 662 680 697 820 952 1028 1088 1120 1148 1190 1285 1312 1324 1360 1394 1435 1640 1655 1799 1904 2056 2240 2296 2317 2380 2570 2624 2648 2720 2788 2870 3280 3310 3485 3598 3808 4112 4369 4592 4634 4760 4879 5140 5296 5440 5576 5627 5740 6560 6620 6970 7196 7616 8224 8738 8995 9184 9268 9520 9758 10280 10537 10592 11152 11254 11480 11585 13120 13240 13571 13940 14392 16448 17476 17990 18368 18536 19040 19516 20560 21074 21184 21845 22304 22508 22960 23170 24395 26480 27142 27880 28135 28784 30583 34952 35980 37072 38080 39032 39389 41120 42148 43690 44608 45016 45920 46340 48790 52685 52960 54284 55760 56270 57568 61166 67855 69904 71960 73759 74144 78064 78778 82240 84296 85067 87380 90032 91840 92680 94997 97580 105370 105920 108568 111520 112540 115136 122332 135710 139808 143920 147518 148288 152915 156128 157556 168592 170134 174760 179129 180064 185360 189994 195160 196945 210740 217136 223040 225080 230707 244664 271420 279616 287840 295036 305830 312256 315112 337184 340268 349520 358258 360128 368795 370720 379988 390320 393890 421480 425335 434272 450160 461414 474985 489328 542840 575680 590072 595469 611660 630224 674368 680536 699040 716516 737590 741440 759976 780640 787780 842960 850670 868544 895645 900320 922828 949970 978656 1085680 1153535 1180144 1190938 1223320 1253903 1260448 1361072 1398080 1433032 1446139 1475180 1519952 1561280 1575560 1614949 1685920 1701340 1791290 1800640 1845656 1899940 1957312 2171360 2307070 2360288 2381876 2446640 2507806 2520896 2722144 2866064 2892278 2950360 2977345 3039904 3151120 3229898 3371840 3402680 3487747 3582580 3691312 3799880 4342720 4614140 4720576 4763752 4893280 5015612 5444288 5732128 5784556 5900720 5954690 6079808 6269515 6302240 6459796 6805360 6975494 7165160 7230695 7382624 7599760 8074745 9228280 9527504 9786560 10031224 10122973 11464256 11569112 11801440 11909380 12539030 12604480 12919592 13610720 13950988 14330320 14461390 14765248 15199520 16149490 17438735 18456560 19055008 20062448 20245946 23138224 23602880 23818760 24414229 25078060 25839184 27221440 27901976 28660640 28922780 30399040 32298980 34877470 36913120 38110016 40124896 40491892 46276448 47637520 48828458 50156120 50614865 51678368 55803952 57321280 57845560 59291699 64597960 69754940 73826240 80249792 80983784 92552896 95275040 97656916 100312240 101229730 103356736 111607904 115691120 118583398 122071145 129195920 139509880 161967568 190550080 195313832 200624480 202459460 223215808 231382240 237166796 244142290 258391840 279019760 296458495 323935136 390627664 401248960 404918920 415041893 462764480 474333592 488284580 516783680 558039520 592916990 647870272 781255328 809837840 830083786 948667184 976569160 1116079040 1185833980 1562510656 1619675680 1660167572 1897334368 1953138320 2075209465 2371667960 3239351360 3320335144 3794668736 3906276640 4150418930 4743335920 6640670288 7812553280 8300837860 9486671840 13281340576 16601675720 18973343680 26562681152 33203351440 66406702880 132813405760
- Sum of all divisors σ(n): 394752185856
- Sum of proper divisors (its aliquot sum) s(n): 261938780096
- 132813405760 is an abundant number, because the sum of its proper divisors (261938780096) is greater than itself. Its abundance is 129125374336
Bases of 132813405760
- Binary: 11110111011000100101110111110010000002
- Hexadecimal: 0x1EEC4BBE40
- Base-36: 1P0HO7R4
Squares and roots of 132813405760
- 132813405760 squared (1328134057602) is 17639400749570401177600
- 132813405760 cubed (1328134057603) is 2342748889115941837286570622976000
-
The
square root of 132813405760 is 364435.7361181803 -
The
cube root of 132813405760 is 5102.0804758015
Scales and comparisons
How big is 132813405760?- 132,813,405,760 seconds is equal to 4,223 years, 2 weeks, 6 days, 4 hours, 42 minutes, 40 seconds.
-
To count from 1 to 132,813,405,760 would take you about eight thousand, four hundred forty-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 132813405760 cubic inches would be around 425.2 feet tall.
Recreational maths with 132813405760
- 132813405760 backwards is 067504318231
- 132813405760 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 132813405760's digits is 40
- More coming soon!
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