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40568709456 = 24321183308573
BaseRepresentation
bin100101110010000101…
…010110000101010000
310212201022011222012200
4211302011112011100
51131041042200311
630345332123200
72634221224602
oct456205260520
9125638158180
1040568709456
1116228a84960
127a42466500
133a96b43932
141d6bd2b172
1510c68c3556
hex972156150

40568709456 has 120 divisors (see below), whose sum is σ = 125350164576. Its totient is φ = 12145393920.

The previous prime is 40568709451. The next prime is 40568709463. The reversal of 40568709456 is 65490786504.

40568709456 is a `hidden beast` number, since 4 + 0 + 568 + 70 + 9 + 4 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40568709451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22815 + ... + 285758.

Almost surely, 240568709456 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 40568709456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62675082288).

40568709456 is an abundant number, since it is smaller than the sum of its proper divisors (84781455120).

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

40568709456 is a wasteful number, since it uses less digits than its factorization.

40568709456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308681 (or 308672 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 40568709456 in words is "forty billion, five hundred sixty-eight million, seven hundred nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 83 88 99 132 144 166 176 198 249 264 332 396 498 528 664 747 792 913 996 1328 1494 1584 1826 1992 2739 2988 3652 3984 5478 5976 7304 8217 10956 11952 14608 16434 21912 32868 43824 65736 131472 308573 617146 925719 1234292 1851438 2468584 2777157 3394303 3702876 4937168 5554314 6788606 7405752 10182909 11108628 13577212 14811504 20365818 22217256 25611559 27154424 30548727 40731636 44434512 51223118 54308848 61097454 76834677 81463272 102446236 122194908 153669354 162926544 204892472 230504031 244389816 281727149 307338708 409784944 461008062 488779632 563454298 614677416 845181447 922016124 1126908596 1229354832 1690362894 1844032248 2253817192 2535544341 3380725788 3688064496 4507634384 5071088682 6761451576 10142177364 13522903152 20284354728 40568709456