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40737040704 = 2632174160237
BaseRepresentation
bin100101111100000111…
…011110100101000000
310220011000221002021100
4211330013132211000
51131412140300304
630414144054400
72641334063343
oct457407364500
9126130832240
1040737040704
1116304aa7698
127a8a904400
133ac2990519
141d8642845a
1510d6574439
hex97c1de940

40737040704 has 84 divisors (see below), whose sum is σ = 123633952884. Its totient is φ = 12780244992.

The previous prime is 40737040681. The next prime is 40737040819. The reversal of 40737040704 is 40704073704.

It can be written as a sum of positive squares in 2 ways, for example, as 29636311104 + 11100729600 = 172152^2 + 105360^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2070327 + ... + 2089910.

Almost surely, 240737040704 is an apocalyptic number.

It is an amenable number.

40737040704 is an abundant number, since it is smaller than the sum of its proper divisors (82896912180).

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

40737040704 is a wasteful number, since it uses less digits than its factorization.

40737040704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160272 (or 4160259 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The spelling of 40737040704 in words is "forty billion, seven hundred thirty-seven million, forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 4160237 8320474 12480711 16640948 24961422 33281896 37442133 49922844 66563792 70724029 74884266 99845688 133127584 141448058 149768532 199691376 212172087 266255168 282896116 299537064 399382752 424344174 565792232 599074128 636516261 798765504 848688348 1131584464 1198148256 1273032522 1697376696 2263168928 2396296512 2546065044 3394753392 4526337856 5092130088 6789506784 10184260176 13579013568 20368520352 40737040704