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40309633957932 = 22324127310050107
BaseRepresentation
bin10010010101001010100010…
…11010011100000000101100
312021201120012200211210212100
421022211101122130000230
520240413112243123212
6221421553514335100
711330163210211113
oct1112452132340054
9167646180753770
1040309633957932
1111931246554579
12463033aa2a490
13196524a3018a1
149d4dd4cd8c7a
1549d82d081bdc
hex24a95169c02c

40309633957932 has 36 divisors (see below), whose sum is σ = 104379011512776. Its totient is φ = 13108824050880.

The previous prime is 40309633957897. The next prime is 40309633957939. The reversal of 40309633957932 is 23975933690304.

It is a happy number.

40309633957932 is a `hidden beast` number, since 40 + 30 + 96 + 3 + 395 + 7 + 93 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×403096339579323 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40309633957932.

It is not an unprimeable number, because it can be changed into a prime (40309633957939) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13655023578 + ... + 13655026529.

It is an arithmetic number, because the mean of its divisors is an integer number (2899416986466).

Almost surely, 240309633957932 is an apocalyptic number.

It is an amenable number.

40309633957932 is an abundant number, since it is smaller than the sum of its proper divisors (64069377554844).

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

40309633957932 is a wasteful number, since it uses less digits than its factorization.

40309633957932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27310050158 (or 27310050153 counting only the distinct ones).

The product of its (nonzero) digits is 99202320, while the sum is 63.

The spelling of 40309633957932 in words is "forty trillion, three hundred nine billion, six hundred thirty-three million, nine hundred fifty-seven thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 27310050107 54620100214 81930150321 109240200428 163860300642 245790450963 327720601284 491580901926 983161803852 1119712054387 2239424108774 3359136163161 4478848217548 6718272326322 10077408489483 13436544652644 20154816978966 40309633957932