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104142002432 = 2813103330293
BaseRepresentation
bin110000011111101011…
…0001101100100000000
3100221210211112212102012
41200333112031210000
53201240323034212
6115501524312052
710344510262226
oct1407726154400
9327724485365
10104142002432
1140191499906
1218224b42628
139a8898ca60
14507d1bab16
152a97bae922
hex183f58d900

104142002432 has 72 divisors (see below), whose sum is σ = 224091867384. Its totient is φ = 48017424384.

The previous prime is 104142002417. The next prime is 104142002441. The reversal of 104142002432 is 234200241401.

It can be written as a sum of positive squares in 4 ways, for example, as 20236769536 + 83905232896 = 142256^2 + 289664^2 .

It is a junction number, because it is equal to n+sod(n) for n = 104142002398 and 104142002407.

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, 3422678 + ... + 3452970.

It is an arithmetic number, because the mean of its divisors is an integer number (3112387047).

Almost surely, 2104142002432 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 104142002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112045933692).

104142002432 is an abundant number, since it is smaller than the sum of its proper divisors (119949864952).

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

104142002432 is a wasteful number, since it uses less digits than its factorization.

104142002432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31355 (or 31341 counting only the distinct ones).

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

Adding to 104142002432 its reverse (234200241401), we get a palindrome (338342243833).

The spelling of 104142002432 in words is "one hundred four billion, one hundred forty-two million, two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1033 1664 2066 3328 4132 8264 13429 16528 26858 30293 33056 53716 60586 66112 107432 121172 132224 214864 242344 264448 393809 429728 484688 787618 859456 969376 1575236 1718912 1938752 3150472 3437824 3877504 6300944 7755008 12601888 25203776 31292669 50407552 62585338 100815104 125170676 250341352 406804697 500682704 813609394 1001365408 1627218788 2002730816 3254437576 4005461632 6508875152 8010923264 13017750304 26035500608 52071001216 104142002432