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104040441032 = 23117959325237
BaseRepresentation
bin110000011100101001…
…0110010010011001000
3100221112202110000100212
41200321102302103020
53201033323103112
6115443455420252
710342135104653
oct1407122622310
9327482400325
10104040441032
114013a131270
12181b6b24688
139a70920658
14506d90089a
152a8dcec522
hex18394b24c8

104040441032 has 64 divisors (see below), whose sum is σ = 215875756800. Its totient is φ = 46611901440.

The previous prime is 104040441019. The next prime is 104040441047. The reversal of 104040441032 is 230144040401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 104040440989 and 104040441007.

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, 4109918 + ... + 4135154.

It is an arithmetic number, because the mean of its divisors is an integer number (3373058700).

Almost surely, 2104040441032 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 104040441032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107937878400).

104040441032 is an abundant number, since it is smaller than the sum of its proper divisors (111835315768).

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

104040441032 is a wasteful number, since it uses less digits than its factorization.

104040441032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25926 (or 25922 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 104040441032 its reverse (230144040401), we get a palindrome (334184481433).

The spelling of 104040441032 in words is "one hundred four billion, forty million, four hundred forty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 593 632 869 1186 1738 2372 3476 4744 6523 6952 13046 25237 26092 46847 50474 52184 93694 100948 187388 201896 277607 374776 515317 555214 1030634 1110428 1993723 2061268 2220856 3987446 4122536 7974892 14965541 15949784 21930953 29931082 43861906 59862164 87723812 119724328 164620951 175447624 329241902 658483804 1182277739 1316967608 2364555478 4729110956 9458221912 13005055129 26010110258 52020220516 104040441032