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104027142464 = 2671631424561
BaseRepresentation
bin110000011100010000…
…0000011100101000000
3100221111211102101011022
41200320200003211000
53201021422024324
6115442302405012
710341614056430
oct1407040034500
9327454371138
10104027142464
1140132678913
12181b2590768
139a6ac4558b
14506bc3c2c0
152a8ca7205e
hex1838803940

104027142464 has 56 divisors (see below), whose sum is σ = 237366218688. Its totient is φ = 44309514240.

The previous prime is 104027142449. The next prime is 104027142481. The reversal of 104027142464 is 464241720401.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 639257 + ... + 785304.

Almost surely, 2104027142464 is an apocalyptic number.

104027142464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104027142464 is an abundant number, since it is smaller than the sum of its proper divisors (133339076224).

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

104027142464 is a wasteful number, since it uses less digits than its factorization.

104027142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424743 (or 1424733 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

Adding to 104027142464 its reverse (464241720401), we get a palindrome (568268862865).

The spelling of 104027142464 in words is "one hundred four billion, twenty-seven million, one hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 163 224 326 448 652 1141 1304 2282 2608 4564 5216 9128 10432 18256 36512 73024 1424561 2849122 5698244 9971927 11396488 19943854 22792976 39887708 45585952 79775416 91171904 159550832 232203443 319101664 464406886 638203328 928813772 1625424101 1857627544 3250848202 3715255088 6501696404 7430510176 13003392808 14861020352 26006785616 52013571232 104027142464