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230440013022042 = 23244475507522761
BaseRepresentation
bin110100011001010101111111…
…000111100100001101011010
31010012220211221201110022102200
4310121111333013210031122
5220201012121313201132
62134034402554511030
766352512226003005
oct6431257707441532
91105824851408380
10230440013022042
116747507387945a
1221a1899a135476
139b775279cac65
1440c94db37053c
151b9941846bd7c
hexd1957f1e435a

230440013022042 has 48 divisors (see below), whose sum is σ = 499490609709312. Its totient is φ = 76781972554560.

The previous prime is 230440013022013. The next prime is 230440013022071. The reversal of 230440013022042 is 240220310044032.

230440013022042 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 400 + 1 + 30 + 220 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (230440013022013) and next prime (230440013022071).

It is a junction number, because it is equal to n+sod(n) for n = 230440013021997 and 230440013022015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440551942 + ... + 441074702.

It is an arithmetic number, because the mean of its divisors is an integer number (10406054368944).

Almost surely, 2230440013022042 is an apocalyptic number.

230440013022042 is an abundant number, since it is smaller than the sum of its proper divisors (269050596687270).

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

230440013022042 is a wasteful number, since it uses less digits than its factorization.

230440013022042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532723 (or 532720 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 230440013022042 its reverse (240220310044032), we get a palindrome (470660323066074).

The spelling of 230440013022042 in words is "two hundred thirty trillion, four hundred forty billion, thirteen million, twenty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 4447 5507 8894 11014 13341 16521 26682 33042 40023 49563 80046 99126 522761 1045522 1568283 3136566 4704849 9409698 24489629 48979258 73468887 146937774 220406661 440813322 2324718167 2878844827 4649436334 5757689654 6974154501 8636534481 13948309002 17273068962 20922463503 25909603443 41844927006 51819206886 12802222945669 25604445891338 38406668837007 76813337674014 115220006511021 230440013022042