Search a number
-
+
231240141042132 = 223412713118155621
BaseRepresentation
bin110100100100111111001010…
…011101101111000111010100
31010022202100020000111010222010
4310210333022131233013110
5220302114302101322012
62135450130531104220
766464356155651315
oct6444771235570724
91108670200433863
10231240141042132
1167753436222582
1221b27a7b442070
139c04b0c34bb61
1441161226dc60c
151bb0147aeac3c
hexd24fca76f1d4

231240141042132 has 96 divisors (see below), whose sum is σ = 554787661413888. Its totient is φ = 74918805120000.

The previous prime is 231240141042077. The next prime is 231240141042143.

It is a happy number.

231240141042132 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 231240141042132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4157397282 + ... + 4157452902.

It is an arithmetic number, because the mean of its divisors is an integer number (5779038139728).

Almost surely, 2231240141042132 is an apocalyptic number.

It is an amenable number.

231240141042132 is an abundant number, since it is smaller than the sum of its proper divisors (323547520371756).

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

231240141042132 is a wasteful number, since it uses less digits than its factorization.

231240141042132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87121 (or 87119 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 231240141042132 in words is "two hundred thirty-one trillion, two hundred forty billion, one hundred forty-one million, forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 271 492 542 813 1084 1626 3252 11111 22222 31181 33333 44444 55621 62362 66666 93543 111242 124724 133332 166863 187086 222484 333726 374172 667452 1278421 2280461 2556842 3835263 4560922 5113684 6841383 7670526 8450051 9121844 13682766 15073291 15341052 16900102 25350153 27365532 30146582 33800204 45219873 50700306 60293164 90439746 101400612 180879492 346452091 618004931 692904182 1039356273 1236009862 1385808364 1734318401 1854014793 2078712546 2472019724 3468636802 3708029586 4157425092 5202955203 6937273604 7416059172 10405910406 20811820812 71107054441 142214108882 213321163323 284428217764 426642326646 470000286671 853284653292 940000573342 1410000860013 1880001146684 2820001720026 5640003440052 19270011753511 38540023507022 57810035260533 77080047014044 115620070521066 231240141042132