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540313122320 = 24537673597589
BaseRepresentation
bin1111101110011010010…
…10111111011000010000
31220122122100110111210222
413313031022333120100
532323030124403240
61052114425212212
754015314522246
oct7671512773020
91818570414728
10540313122320
11199166742a14
1288871931068
133bc4a043bca
141c21921c796
15e0c4d6beb5
hex7dcd2bf610

540313122320 has 160 divisors (see below), whose sum is σ = 1313257017600. Its totient is φ = 206541232128.

The previous prime is 540313122319. The next prime is 540313122341. The reversal of 540313122320 is 23221313045.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 540313122320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71193086 + ... + 71200674.

It is an arithmetic number, because the mean of its divisors is an integer number (8207856360).

Almost surely, 2540313122320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540313122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656628508800).

540313122320 is an abundant number, since it is smaller than the sum of its proper divisors (772943895280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540313122320 is a wasteful number, since it uses less digits than its factorization.

540313122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8065 (or 8059 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 540313122320 its reverse (23221313045), we get a palindrome (563534435365).

The spelling of 540313122320 in words is "five hundred forty billion, three hundred thirteen million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 67 74 80 134 148 185 268 296 335 359 370 536 592 670 718 740 1072 1340 1436 1480 1795 2479 2680 2872 2960 3590 4958 5360 5744 7180 7589 9916 12395 13283 14360 15178 19832 24053 24790 26566 28720 30356 37945 39664 48106 49580 53132 60712 66415 75890 96212 99160 106264 120265 121424 132830 151780 192424 198320 212528 240530 265660 280793 303560 384848 481060 508463 531320 561586 607120 889961 962120 1016926 1062640 1123172 1403965 1779922 1924240 2033852 2246344 2542315 2724451 2807930 3559844 4067704 4449805 4492688 5084630 5448902 5615860 7119688 8135408 8899610 10169260 10897804 11231720 13622255 14239376 17799220 18813131 20338520 21795608 22463440 27244510 35598440 37626262 40677040 43591216 54489020 71196880 75252524 94065655 100804687 108978040 150505048 182538217 188131310 201609374 217956080 301010096 365076434 376262620 403218748 504023435 730152868 752525240 806437496 912691085 1008046870 1460305736 1505050480 1612874992 1825382170 2016093740 2920611472 3650764340 4032187480 6753914029 7301528680 8064374960 13507828058 14603057360 27015656116 33769570145 54031312232 67539140290 108062624464 135078280580 270156561160 540313122320