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1042415520912 = 243319871214393
BaseRepresentation
bin11110010101101001100…
…11101000110010010000
310200122122201201010202000
433022310303220302100
5114034331333132122
62114513514154000
7135212012505603
oct17126463506220
93618581633660
101042415520912
113720a4427607
1214a03aa22900
13773b790c4cc
143864b75433a
151c1b033d0ac
hexf2b4ce8c90

1042415520912 has 80 divisors (see below), whose sum is σ = 2993626937280. Its totient is φ = 347296681728.

The previous prime is 1042415520907. The next prime is 1042415520929. The reversal of 1042415520912 is 2190255142401.

1042415520912 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 41 + 5 + 520 + 91 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251188 + ... + 1465580.

It is an arithmetic number, because the mean of its divisors is an integer number (37420336716).

Almost surely, 21042415520912 is an apocalyptic number.

1042415520912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1042415520912 is an abundant number, since it is smaller than the sum of its proper divisors (1951211416368).

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

1042415520912 is a wasteful number, since it uses less digits than its factorization.

1042415520912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216397 (or 1216385 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1042415520912 in words is "one trillion, forty-two billion, four hundred fifteen million, five hundred twenty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1987 3974 5961 7948 11922 15896 17883 23844 31792 35766 47688 53649 71532 95376 107298 143064 214596 286128 429192 858384 1214393 2428786 3643179 4857572 7286358 9715144 10929537 14572716 19430288 21859074 29145432 32788611 43718148 58290864 65577222 87436296 131154444 174872592 262308888 524617776 2412998891 4825997782 7238996673 9651995564 14477993346 19303991128 21716990019 28955986692 38607982256 43433980038 57911973384 65150970057 86867960076 115823946768 130301940114 173735920152 260603880228 347471840304 521207760456 1042415520912