132819463920
132,819,463,920 is an even composite number composed of seven prime numbers multiplied together.
132819463920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 132819463920:
24 × 3 × 5 × 112 × 13 × 41 × 8581
(2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 13 × 41 × 8581)See below for interesting mathematical facts about the number 132819463920 from the Numbermatics database.
Names of 132819463920
- Cardinal: 132819463920 can be written as One hundred thirty-two billion, eight hundred nineteen million, four hundred sixty-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3281946392 × 1011
Factors of 132819463920
Divisors of 132819463920
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 41 44 48 52 55 60 65 66 78 80 82 88 104 110 120 121 123 130 132 143 156 164 165 176 195 205 208 220 240 242 246 260 264 286 312 328 330 363 390 410 429 440 451 484 492 520 528 533 572 605 615 624 656 660 715 726 780 820 858 880 902 968 984 1040 1066 1144 1210 1230 1320 1353 1430 1452 1560 1573 1599 1640 1716 1804 1815 1936 1968 2132 2145 2255 2288 2420 2460 2640 2665 2706 2860 2904 3120 3146 3198 3280 3432 3608 3630 4264 4290 4510 4719 4840 4920 4961 5330 5412 5720 5808 5863 6292 6396 6765 6864 7216 7260 7865 7995 8528 8580 8581 9020 9438 9680 9840 9922 10660 10824 11440 11726 12584 12792 13530 14520 14883 15730 15990 17160 17162 17589 18040 18876 19844 21320 21648 23452 23595 24805 25168 25584 25743 27060 29040 29315 29766 31460 31980 34320 34324 35178 36080 37752 39688 42640 42905 46904 47190 49610 51486 54120 58630 59532 62920 63960 64493 68648 70356 74415 75504 79376 85810 87945 93808 94380 94391 99220 102972 108240 111553 117260 119064 125840 127920 128715 128986 137296 140712 148830 171620 175890 188760 188782 193479 198440 205944 223106 234520 238128 257430 257972 281424 283173 297660 322465 334659 343240 351780 351821 377520 377564 386958 396880 411888 446212 469040 471955 514860 515944 557765 566346 595320 644930 669318 686480 703560 703642 755128 773916 892424 943910 967395 1029720 1031888 1038301 1055463 1115530 1132692 1190640 1227083 1289860 1338636 1407120 1407284 1415865 1510256 1547832 1673295 1759105 1784848 1887820 1934790 2059440 2076602 2110926 2231060 2265384 2454166 2579720 2677272 2814568 2831730 3095664 3114903 3346590 3518210 3681249 3775640 3869580 3870031 4153204 4221852 4462120 4530768 4573673 4908332 5159440 5191505 5277315 5354544 5629136 5663460 6135415 6229806 6693180 7036420 7362498 7551280 7739160 7740062 8306408 8443704 8924240 9147346 9816664 10383010 10554630 11326920 11610093 12270830 12459612 13386360 13497913 13721019 14072840 14724996 15478320 15480124 15574515 16612816 16887408 18294692 18406245 19350155 19633328 20766020 21109260 22653840 22868365 23220186 24541660 24919224 26772720 26995826 27442038 28145680 29449992 30960248 31149030 36589384 36812490 38700310 40493739 41532040 42218520 42570341 45736730 46440372 49083320 49838448 50310403 53991652 54884076 58050465 58899984 61920496 62298060 67489565 68605095 73178768 73624980 77400620 80987478 83064080 84437040 85140682 91473460 92880744 98166640 100620806 107983304 109768152 116100930 124596120 127711023 134979130 137210190 147249960 150931209 154801240 161974956 170281364 182946920 185761488 201241612 202468695 212851705 215966608 219536304 232201860 249192240 251552015 255422046 269958260 274420380 294499920 301862418 309602480 323949912 340562728 365893840 402483224 404937390 425703410 464403720 503104030 510844092 539916520 548840760 553414433 603724836 638555115 647899824 681125456 754656045 804966448 809874780 851406820 928807440 1006208060 1021688184 1079833040 1097681520 1106828866 1207449672 1277110230 1509312090 1619749560 1660243299 1702813640 2012416120 2043376368 2213657732 2414899344 2554220460 2767072165 3018624180 3239499120 3320486598 3405627280 4024832240 4427315464 5108440920 5534144330 6037248360 6640973196 8301216495 8854630928 10216881840 11068288660 12074496720 13281946392 16602432990 22136577320 26563892784 33204865980 44273154640 66409731960 132819463920
- Sum of all divisors σ(n): 499333165632
- Sum of proper divisors (its aliquot sum) s(n): 366513701712
- 132819463920 is an abundant number, because the sum of its proper divisors (366513701712) is greater than itself. Its abundance is 233694237792
Bases of 132819463920
- Binary: 11110111011001010100000101110111100002
- Hexadecimal: 0x1EECA82EF0
- Base-36: 1P0LA29C
Squares and roots of 132819463920
- 132819463920 squared (1328194639202) is 17641009995996181766400
- 132819463920 cubed (1328194639203) is 2343069490675574208580126668288000
-
The
square root of 132819463920 is 364444.0477220063 -
The
cube root of 132819463920 is 5102.1580501741
Scales and comparisons
How big is 132819463920?- 132,819,463,920 seconds is equal to 4,223 years, 12 weeks, 6 days, 7 hours, 32 minutes.
-
To count from 1 to 132,819,463,920 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 132819463920 cubic inches would be around 425.2 feet tall.
Recreational maths with 132819463920
- 132819463920 backwards is 029364918231
- 132819463920 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 132819463920's digits is 48
- More coming soon!
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