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104042241432 = 233273121316319
BaseRepresentation
bin110000011100101100…
…1101001110110011000
3100221112212211111001100
41200321121221312120
53201034303211212
6115444002151400
710342156313643
oct1407131516630
9327485744040
10104042241432
11401401509a8
12181b7652560
139a71100c8c
14506dc4ca5a
152a8e055bdc
hex1839669d98

104042241432 has 96 divisors (see below), whose sum is σ = 285894086400. Its totient is φ = 34175374848.

The previous prime is 104042241421. The next prime is 104042241437. The reversal of 104042241432 is 234142240401.

104042241432 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 4 + 224 + 1 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104042241396 and 104042241405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104042241437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6367369 + ... + 6383687.

It is an arithmetic number, because the mean of its divisors is an integer number (2978063400).

Almost surely, 2104042241432 is an apocalyptic number.

104042241432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104042241432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142947043200).

104042241432 is an abundant number, since it is smaller than the sum of its proper divisors (181851844968).

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

104042241432 is a wasteful number, since it uses less digits than its factorization.

104042241432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17617 (or 17610 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 104042241432 its reverse (234142240401), we get a palindrome (338184481833).

The spelling of 104042241432 in words is "one hundred four billion, forty-two million, two hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1213 1314 1752 2426 2628 3639 4852 5256 7278 9704 10917 14556 16319 21834 29112 32638 43668 48957 65276 87336 88549 97914 130552 146871 177098 195828 265647 293742 354196 391656 531294 587484 708392 796941 1062588 1174968 1191287 1593882 2125176 2382574 3187764 3573861 4765148 6375528 7147722 9530296 10721583 14295444 19794947 21443166 28590888 39589894 42886332 59384841 79179788 85772664 118769682 158359576 178154523 237539364 356309046 475078728 712618092 1425236184 1445031131 2890062262 4335093393 5780124524 8670186786 11560249048 13005280179 17340373572 26010560358 34680747144 52021120716 104042241432