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10001404104 = 2334727732009
BaseRepresentation
bin10010101000010000…
…10101000011001000
3221211000101222012020
421110020111003020
5130440324412404
64332232444440
7502562350356
oct112410250310
927730358166
1010001404104
114272593a2a
121b31549720
13c3508c5c3
146ac40a7d6
153d8088ed9
hex2542150c8

10001404104 has 64 divisors (see below), whose sum is σ = 25628486400. Its totient is φ = 3250988544.

The previous prime is 10001404097. The next prime is 10001404141. The reversal of 10001404104 is 40140410001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296452 + ... + 328460.

It is an arithmetic number, because the mean of its divisors is an integer number (400445100).

Almost surely, 210001404104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001404104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12814243200).

10001404104 is an abundant number, since it is smaller than the sum of its proper divisors (15627082296).

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

10001404104 is a wasteful number, since it uses less digits than its factorization.

10001404104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32342 (or 32338 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10001404104 its reverse (40140410001), we get a palindrome (50141814105).

The spelling of 10001404104 in words is "ten billion, one million, four hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 277 282 376 554 564 831 1108 1128 1662 2216 3324 6648 13019 26038 32009 39057 52076 64018 78114 96027 104152 128036 156228 192054 256072 312456 384108 768216 1504423 3008846 4513269 6017692 8866493 9026538 12035384 17732986 18053076 26599479 35465972 36106152 53198958 70931944 106397916 212795832 416725171 833450342 1250175513 1666900684 2500351026 3333801368 5000702052 10001404104