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1004116062144 = 26313402290089
BaseRepresentation
bin11101001110010011111…
…10110010111111000000
310112222210120112001021010
432213021332302333000
5112422412202442034
62045141244000520
7132354634463136
oct16471176627700
93488716461233
101004116062144
11357930381348
12142730530140
13738c2c65980
1436856d6d756
151b1bccb53e9
hexe9c9fb2fc0

1004116062144 has 56 divisors (see below), whose sum is σ = 2861087120080. Its totient is φ = 308958787584.

The previous prime is 1004116062137. The next prime is 1004116062241. The reversal of 1004116062144 is 4412606114001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201142549 + ... + 201147540.

It is an arithmetic number, because the mean of its divisors is an integer number (51090841430).

Almost surely, 21004116062144 is an apocalyptic number.

It is an amenable number.

1004116062144 is an abundant number, since it is smaller than the sum of its proper divisors (1856971057936).

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

1004116062144 is a wasteful number, since it uses less digits than its factorization.

1004116062144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402290117 (or 402290107 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 1004116062144 in words is "one trillion, four billion, one hundred sixteen million, sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 402290089 804580178 1206870267 1609160356 2413740534 3218320712 4827481068 5229771157 6436641424 9654962136 10459542314 12873282848 15689313471 19309924272 20919084628 25746565696 31378626942 38619848544 41838169256 62757253884 77239697088 83676338512 125514507768 167352677024 251029015536 334705354048 502058031072 1004116062144