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40408232928 = 253761985759
BaseRepresentation
bin100101101000100001…
…001011001111100000
310212022010012220210120
4211220201023033200
51130224001423203
630321400400240
72630232212160
oct455041131740
9125263186716
1040408232928
1116156437528
1279b8776080
133a6c8172cb
141d548b65a0
1510b7774b53
hex96884b3e0

40408232928 has 96 divisors (see below), whose sum is σ = 123212113920. Its totient is φ = 11355932160.

The previous prime is 40408232927. The next prime is 40408232941. The reversal of 40408232928 is 82923280404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 40408232928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40408232927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451888 + ... + 533871.

It is an arithmetic number, because the mean of its divisors is an integer number (1283459520).

Almost surely, 240408232928 is an apocalyptic number.

40408232928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40408232928 is an abundant number, since it is smaller than the sum of its proper divisors (82803880992).

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

40408232928 is a wasteful number, since it uses less digits than its factorization.

40408232928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985840 (or 985832 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 40408232928 in words is "forty billion, four hundred eight million, two hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1281 1464 1708 1952 2562 2928 3416 5124 5856 6832 10248 13664 20496 40992 985759 1971518 2957277 3943036 5914554 6900313 7886072 11829108 13800626 15772144 20700939 23658216 27601252 31544288 41401878 47316432 55202504 60131299 82803756 94632864 110405008 120262598 165607512 180393897 220810016 240525196 331215024 360787794 420919093 481050392 662430048 721575588 841838186 962100784 1262757279 1443151176 1683676372 1924201568 2525514558 2886302352 3367352744 5051029116 5772604704 6734705488 10102058232 13469410976 20204116464 40408232928