13820365440
13,820,365,440 is an even composite number composed of six prime numbers multiplied together.
13820365440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 13820365440:
27 × 32 × 5 × 7 × 31 × 11057
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 31 × 11057)See below for interesting mathematical facts about the number 13820365440 from the Numbermatics database.
Names of 13820365440
- Cardinal: 13820365440 can be written as Thirteen billion, eight hundred twenty million, three hundred sixty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.382036544 × 1010
Factors of 13820365440
Divisors of 13820365440
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 31 32 35 36 40 42 45 48 56 60 62 63 64 70 72 80 84 90 93 96 105 112 120 124 126 128 140 144 155 160 168 180 186 192 210 217 224 240 248 252 279 280 288 310 315 320 336 360 372 384 420 434 448 465 480 496 504 558 560 576 620 630 640 651 672 720 744 840 868 896 930 960 992 1008 1085 1116 1120 1152 1240 1260 1302 1344 1395 1440 1488 1680 1736 1860 1920 1953 1984 2016 2170 2232 2240 2480 2520 2604 2688 2790 2880 2976 3255 3360 3472 3720 3906 3968 4032 4340 4464 4480 4960 5040 5208 5580 5760 5952 6510 6720 6944 7440 7812 8064 8680 8928 9765 9920 10080 10416 11057 11160 11904 13020 13440 13888 14880 15624 17360 17856 19530 19840 20160 20832 22114 22320 26040 27776 29760 31248 33171 34720 35712 39060 40320 41664 44228 44640 52080 55285 59520 62496 66342 69440 77399 78120 83328 88456 89280 99513 104160 110570 124992 132684 138880 154798 156240 165855 176912 178560 199026 208320 221140 232197 249984 265368 309596 312480 331710 342767 353824 386995 398052 416640 442280 464394 497565 530736 619192 624960 663420 685534 696591 707648 773990 796104 884560 928788 995130 1028301 1061472 1160985 1238384 1249920 1326840 1371068 1393182 1415296 1547980 1592208 1713835 1769120 1857576 1990260 2056602 2122944 2321970 2399369 2476768 2653680 2742136 2786364 3084903 3095960 3184416 3427670 3482955 3538240 3715152 3980520 4113204 4245888 4643940 4798738 4953536 5141505 5307360 5484272 5572728 6169806 6191920 6368832 6855340 6965910 7076480 7198107 7430304 7961040 8226408 9287880 9597476 9907072 10283010 10614720 10968544 11145456 11996845 12339612 12383840 12737664 13710680 13931820 14396214 14860608 15424515 15922080 16452816 18575760 19194952 20566020 21229440 21594321 21937088 22290912 23993690 24679224 24767680 27421360 27863640 28792428 29721216 30849030 31844160 32905632 35990535 37151520 38389904 41132040 43188642 43874176 44581824 47987380 49358448 49535360 54842720 55727280 57584856 61698060 63688320 65811264 71981070 74303040 76779808 82264080 86377284 89163648 95974760 98716896 107971605 109685440 111454560 115169712 123396120 131622528 143962140 148606080 153559616 164528160 172754568 191949520 197433792 215943210 219370880 222909120 230339424 246792240 287924280 307119232 329056320 345509136 383899040 394867584 431886420 445818240 460678848 493584480 575848560 658112640 691018272 767798080 863772840 921357696 987168960 1151697120 1382036544 1535596160 1727545680 1974337920 2303394240 2764073088 3455091360 4606788480 6910182720 13820365440
- Sum of all divisors σ(n): 56305566720
- Sum of proper divisors (its aliquot sum) s(n): 42485201280
- 13820365440 is an abundant number, because the sum of its proper divisors (42485201280) is greater than itself. Its abundance is 28664835840
Bases of 13820365440
- Binary: 11001101111100001000001010100000002
- Hexadecimal: 0x337C20A80
- Base-36: 6CKAE80
Squares and roots of 13820365440
- 13820365440 squared (138203654402) is 191002500895146393600
- 13820365440 cubed (138203654403) is 2639724362324850281850077184000
-
The
square root of 13820365440 is 117560.0503572535 -
The
cube root of 13820365440 is 2399.7896482305
Scales and comparisons
How big is 13820365440?- 13,820,365,440 seconds is equal to 439 years, 23 weeks, 22 hours, 24 minutes.
-
To count from 1 to 13,820,365,440 would take you about eight hundred seventy-eight 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 13820365440 cubic inches would be around 200 feet tall.
Recreational maths with 13820365440
- 13820365440 backwards is 04456302831
- 13820365440 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13820365440's digits is 36
- More coming soon!
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