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1004144025304 = 237611392114771
BaseRepresentation
bin11101001110010111010…
…01011101111011011000
310112222212112010201111201
432213023221131323120
5112422441332302204
62045144123203544
7132355424246320
oct16471351357330
93488775121451
101004144025304
113579451404a2
121427399765b4
13738c89a6814
143685a96c280
151b1c048a9a4
hexe9cba5ded8

1004144025304 has 64 divisors (see below), whose sum is σ = 2202746515200. Its totient is φ = 420247094400.

The previous prime is 1004144025293. The next prime is 1004144025341. The reversal of 1004144025304 is 4035204414001.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 582562 + ... + 1532209.

It is an arithmetic number, because the mean of its divisors is an integer number (34417914300).

Almost surely, 21004144025304 is an apocalyptic number.

1004144025304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004144025304 is an abundant number, since it is smaller than the sum of its proper divisors (1198602489896).

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

1004144025304 is a wasteful number, since it uses less digits than its factorization.

1004144025304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114984 (or 2114980 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 1004144025304 its reverse (4035204414001), we get a palindrome (5039348439305).

The spelling of 1004144025304 in words is "one trillion, four billion, one hundred forty-four million, twenty-five thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 56 61 122 139 244 278 427 488 556 854 973 1112 1708 1946 3416 3892 7784 8479 16958 33916 59353 67832 118706 237412 474824 2114771 4229542 8459084 14803397 16918168 29606794 59213588 118427176 129001031 258002062 293953169 516004124 587906338 903007217 1032008248 1175812676 1806014434 2057672183 2351625352 3612028868 4115344366 7224057736 8230688732 16461377464 17931143309 35862286618 71724573236 125518003163 143449146472 251036006326 502072012652 1004144025304