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1004434104144 = 24341510383183
BaseRepresentation
bin11101001110111001111…
…00000001111101010000
310120000121201222020212110
432213130330001331100
5112424040112313034
62045233004425320
7132365546005242
oct16473474017520
93500551866773
101004434104144
11357a83958a79
121427bab48240
1373943b0c8c3
14368872bc092
151b1dab89de9
hexe9dcf01f50

1004434104144 has 40 divisors (see below), whose sum is σ = 2658075622272. Its totient is φ = 326645236480.

The previous prime is 1004434104137. The next prime is 1004434104181. The reversal of 1004434104144 is 4414014344001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255189624 + ... + 255193559.

Almost surely, 21004434104144 is an apocalyptic number.

It is an amenable number.

1004434104144 is an abundant number, since it is smaller than the sum of its proper divisors (1653641518128).

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

1004434104144 is a wasteful number, since it uses less digits than its factorization.

1004434104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510383235 (or 510383229 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1004434104144 its reverse (4414014344001), we get a palindrome (5418448448145).

The spelling of 1004434104144 in words is "one trillion, four billion, four hundred thirty-four million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 510383183 1020766366 1531149549 2041532732 3062299098 4083065464 6124598196 8166130928 12249196392 20925710503 24498392784 41851421006 62777131509 83702842012 125554263018 167405684024 251108526036 334811368048 502217052072 1004434104144