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31046345344 = 277191823681
BaseRepresentation
bin11100111010100000…
…011010001010000000
32222010200011202100101
4130322200122022000
51002040331022334
622132410532144
72146233403240
oct347240321200
988120152311
1031046345344
1112191941853
126025437054
132c0a0ab061
1417073bbb20
15c1a912214
hex73a81a280

31046345344 has 64 divisors (see below), whose sum is σ = 74406225600. Its totient is φ = 12605276160.

The previous prime is 31046345329. The next prime is 31046345359. The reversal of 31046345344 is 44354364013.

It is an interprime number because it is at equal distance from previous prime (31046345329) and next prime (31046345359).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 894817 + ... + 928864.

It is an arithmetic number, because the mean of its divisors is an integer number (1162597275).

Almost surely, 231046345344 is an apocalyptic number.

It is an amenable number.

31046345344 is an abundant number, since it is smaller than the sum of its proper divisors (43359880256).

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

31046345344 is a wasteful number, since it uses less digits than its factorization.

31046345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823721 (or 1823709 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

The spelling of 31046345344 in words is "thirty-one billion, forty-six million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4256 8512 17024 1823681 3647362 7294724 12765767 14589448 25531534 29178896 34649939 51063068 58357792 69299878 102126136 116715584 138599756 204252272 233431168 242549573 277199512 408504544 485099146 554399024 817009088 970198292 1108798048 1634018176 1940396584 2217596096 3880793168 4435192192 7761586336 15523172672 31046345344