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402031444212 = 223227294092173
BaseRepresentation
bin1011101100110101111…
…00010000000011110100
31102102201021002102120100
411312122330100003310
523041330022203322
6504405105034100
741021466614616
oct5663274200364
91372637072510
10402031444212
111455562a6512
1265abb625930
132bbb0474b38
141565bcc4db6
15a6cee1cdac
hex5d9af100f4

402031444212 has 36 divisors (see below), whose sum is σ = 1016618786820. Its totient is φ = 133961342592.

The previous prime is 402031444201. The next prime is 402031444223. The reversal of 402031444212 is 212444130204.

402031444212 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 3 + 1 + 444 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (402031444201) and next prime (402031444223).

It can be written as a sum of positive squares in 2 ways, for example, as 335386923876 + 66644520336 = 579126^2 + 258156^2 .

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1947843 + ... + 2144330.

It is an arithmetic number, because the mean of its divisors is an integer number (28239410745).

Almost surely, 2402031444212 is an apocalyptic number.

It is an amenable number.

402031444212 is an abundant number, since it is smaller than the sum of its proper divisors (614587342608).

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

402031444212 is a wasteful number, since it uses less digits than its factorization.

402031444212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094912 (or 4094907 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 402031444212 its reverse (212444130204), we get a palindrome (614475574416).

The spelling of 402031444212 in words is "four hundred two billion, thirty-one million, four hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2729 5458 8187 10916 16374 24561 32748 49122 98244 4092173 8184346 12276519 16368692 24553038 36829557 49106076 73659114 147318228 11167540117 22335080234 33502620351 44670160468 67005240702 100507861053 134010481404 201015722106 402031444212