681131520
681,131,520 is an even composite number composed of six prime numbers multiplied together.
681131520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 681131520:
29 × 32 × 5 × 17 × 37 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 × 37 × 47)See below for interesting mathematical facts about the number 681131520 from the Numbermatics database.
Names of 681131520
- Cardinal: 681131520 can be written as Six hundred eighty-one million, one hundred thirty-one thousand, five hundred twenty.
Scientific notation
- Scientific notation: 6.8113152 × 108
Factors of 681131520
Divisors of 681131520
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 37 40 45 47 48 51 60 64 68 72 74 80 85 90 94 96 102 111 120 128 136 141 144 148 153 160 170 180 185 188 192 204 222 235 240 255 256 272 282 288 296 306 320 333 340 360 370 376 384 408 423 444 470 480 510 512 544 555 564 576 592 612 629 640 666 680 705 720 740 752 765 768 799 816 846 888 940 960 1020 1088 1110 1128 1152 1184 1224 1258 1280 1332 1360 1410 1440 1480 1504 1530 1536 1598 1632 1665 1692 1739 1776 1880 1887 1920 2040 2115 2176 2220 2256 2304 2368 2397 2448 2516 2560 2664 2720 2820 2880 2960 3008 3060 3145 3196 3264 3330 3384 3478 3552 3760 3774 3840 3995 4080 4230 4352 4440 4512 4608 4736 4794 4896 5032 5217 5328 5440 5640 5661 5760 5920 6016 6120 6290 6392 6528 6660 6768 6956 7104 7191 7520 7548 7680 7990 8160 8460 8695 8704 8880 9024 9435 9472 9588 9792 10064 10434 10656 10880 11280 11322 11520 11840 11985 12032 12240 12580 12784 13056 13320 13536 13912 14208 14382 15040 15096 15651 15980 16320 16920 17390 17760 18048 18870 18944 19176 19584 20128 20868 21312 21760 22560 22644 23040 23680 23970 24064 24480 25160 25568 26085 26112 26640 27072 27824 28305 28416 28764 29563 30080 30192 31302 31960 32640 33840 34780 35520 35955 36096 37740 38352 39168 40256 41736 42624 43520 45120 45288 47360 47940 48960 50320 51136 52170 53280 54144 55648 56610 56832 57528 59126 60160 60384 62604 63920 65280 67680 69560 71040 71910 72192 75480 76704 78255 78336 80512 83472 85248 88689 90240 90576 94720 95880 97920 100640 102272 104340 106560 108288 111296 113220 115056 118252 120320 120768 125208 127840 130560 135360 139120 142080 143820 147815 150960 153408 156510 161024 166944 170496 177378 180480 181152 191760 195840 201280 204544 208680 213120 216576 222592 226440 230112 236504 241536 250416 255680 266067 270720 278240 284160 287640 295630 301920 306816 313020 322048 333888 354756 360960 362304 383520 391680 402560 409088 417360 426240 443445 445184 452880 460224 473008 483072 500832 511360 532134 541440 556480 575280 591260 603840 613632 626040 667776 709512 724608 767040 805120 834720 852480 886890 890368 905760 920448 946016 966144 1001664 1022720 1064268 1082880 1112960 1150560 1182520 1207680 1227264 1252080 1330335 1335552 1419024 1449216 1534080 1610240 1669440 1773780 1811520 1840896 1892032 2003328 2045440 2128536 2225920 2301120 2365040 2415360 2504160 2660670 2671104 2838048 2898432 3068160 3338880 3547560 3623040 3681792 3784064 4006656 4257072 4451840 4602240 4730080 4830720 5008320 5321340 5676096 6136320 6677760 7095120 7246080 7568128 8013312 8514144 9204480 9460160 10016640 10642680 11352192 13355520 14190240 14492160 15136256 17028288 18408960 18920320 20033280 21285360 22704384 28380480 34056576 37840640 40066560 42570720 45408768 56760960 68113152 75681280 85141440 113521920 136226304 170282880 227043840 340565760 681131520
- Sum of all divisors σ(n): 2619796608
- Sum of proper divisors (its aliquot sum) s(n): 1938665088
- 681131520 is an abundant number, because the sum of its proper divisors (1938665088) is greater than itself. Its abundance is 1257533568
Bases of 681131520
- Binary: 1010001001100100111110000000002
- Hexadecimal: 0x28993E00
- Base-36: B9J0G0
Squares and roots of 681131520
- 681131520 squared (6811315202) is 463940147537510400
- 681131520 cubed (6811315203) is 316004257881248715767808000
-
The
square root of 681131520 is 26098.4965084199 -
The
cube root of 681131520 is 879.8534191117
Scales and comparisons
How big is 681131520?- 681,131,520 seconds is equal to 21 years, 34 weeks, 1 day, 11 hours, 12 minutes.
-
To count from 1 to 681,131,520 would take you about thirty-two 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 681131520 cubic inches would be around 73.3 feet tall.
Recreational maths with 681131520
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