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104034000042 = 23272155975659
BaseRepresentation
bin110000011100011101…
…0001101110010101010
3100221112022022202222200
41200320322031302222
53201030201000132
6115443105401030
710342026260400
oct1407072156252
9327468282880
10104034000042
1140136532035
12181b4939176
139a6c4a6a0b
14506cb05470
152a8d478d7c
hex1838e8dcaa

104034000042 has 72 divisors (see below), whose sum is σ = 262379800800. Its totient is φ = 29704541328.

The previous prime is 104034000041. The next prime is 104034000043. The reversal of 104034000042 is 240000430401.

It is an interprime number because it is at equal distance from previous prime (104034000041) and next prime (104034000043).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104033999979 and 104034000024.

It is not an unprimeable number, because it can be changed into a prime (104034000041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1337209 + ... + 1412867.

It is an arithmetic number, because the mean of its divisors is an integer number (3644163900).

Almost surely, 2104034000042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104034000042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131189900400).

104034000042 is an abundant number, since it is smaller than the sum of its proper divisors (158345800758).

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

104034000042 is a wasteful number, since it uses less digits than its factorization.

104034000042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77240 (or 77230 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 104034000042 its reverse (240000430401), we get a palindrome (344034430443).

The spelling of 104034000042 in words is "one hundred four billion, thirty-four million, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1559 3118 4677 9354 10913 14031 21826 28062 32739 65478 75659 76391 98217 151318 152782 196434 226977 229173 453954 458346 529613 680931 687519 1059226 1361862 1375038 1588839 3177678 3707291 4766517 7414582 9533034 11121873 22243746 33365619 66731238 117952381 235904762 353857143 707714286 825666667 1061571429 1651333334 2123142858 2477000001 4954000002 5779666669 7431000003 11559333338 14862000006 17339000007 34678000014 52017000021 104034000042