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3131150435040 = 253518773475349
BaseRepresentation
bin101101100100000111000…
…111000000001011100000
3102002100001020221200021010
4231210013013000023200
5402300044002410130
610354233004300520
7442134553363335
oct55440707001340
912070036850233
103131150435040
11aa7a05878771
12426a07b41740
1319935cb63814
14ab7970ac98c
15566ad5a20b0
hex2d9071c02e0

3131150435040 has 96 divisors (see below), whose sum is σ = 9868381437600. Its totient is φ = 834528364544.

The previous prime is 3131150435003. The next prime is 3131150435057. The reversal of 3131150435040 is 405340511313.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 3131150434989 and 3131150435007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836715 + ... + 2638634.

It is an arithmetic number, because the mean of its divisors is an integer number (102795639975).

Almost surely, 23131150435040 is an apocalyptic number.

3131150435040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3131150435040 is an abundant number, since it is smaller than the sum of its proper divisors (6737231002560).

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

3131150435040 is a wasteful number, since it uses less digits than its factorization.

3131150435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3477244 (or 3477236 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 3131150435040 its reverse (405340511313), we get a palindrome (3536490946353).

The spelling of 3131150435040 in words is "three trillion, one hundred thirty-one billion, one hundred fifty million, four hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1877 3754 5631 7508 9385 11262 15016 18770 22524 28155 30032 37540 45048 56310 60064 75080 90096 112620 150160 180192 225240 300320 450480 900960 3475349 6950698 10426047 13901396 17376745 20852094 27802792 34753490 41704188 52130235 55605584 69506980 83408376 104260470 111211168 139013960 166816752 208520940 278027920 333633504 417041880 556055840 834083760 1668167520 6523230073 13046460146 19569690219 26092920292 32616150365 39139380438 52185840584 65232300730 78278760876 97848451095 104371681168 130464601460 156557521752 195696902190 208743362336 260929202920 313115043504 391393804380 521858405840 626230087008 782787608760 1043716811680 1565575217520 3131150435040