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104414312432 = 24194311370687
BaseRepresentation
bin110000100111110010…
…0111111011111110000
3100222111210221122111202
41201033210333133300
53202320030444212
6115544533030332
710354325004023
oct1411744773760
9328453848452
10104414312432
11403111803a1
12182a01853a8
139b00214131
1450a74231ba
152ab1a4e0c2
hex184f93f7f0

104414312432 has 80 divisors (see below), whose sum is σ = 219834024960. Its totient is φ = 47880999936.

The previous prime is 104414312411. The next prime is 104414312461. The reversal of 104414312432 is 234213414401.

It is a junction number, because it is equal to n+sod(n) for n = 104414312395 and 104414312404.

It is a congruent number.

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, 1441793 + ... + 1512479.

It is an arithmetic number, because the mean of its divisors is an integer number (2747925312).

Almost surely, 2104414312432 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 104414312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109917012480).

104414312432 is an abundant number, since it is smaller than the sum of its proper divisors (115419712528).

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

104414312432 is a wasteful number, since it uses less digits than its factorization.

104414312432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70870 (or 70864 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 104414312432 its reverse (234213414401), we get a palindrome (338627726833).

The spelling of 104414312432 in words is "one hundred four billion, four hundred fourteen million, three hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 43 76 86 113 152 172 226 304 344 452 688 817 904 1634 1808 2147 3268 4294 4859 6536 8588 9718 13072 17176 19436 34352 38872 70687 77744 92321 141374 184642 282748 369284 565496 738568 1130992 1343053 1477136 2686106 3039541 5372212 6079082 7987631 10744424 12158164 15975262 21488848 24316328 31950524 48632656 57751279 63901048 115502558 127802096 151764989 231005116 303529978 343468133 462010232 607059956 686936266 924020464 1214119912 1373872532 2428239824 2747745064 5495490128 6525894527 13051789054 26103578108 52207156216 104414312432