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230500433025044 = 227134017612075111
BaseRepresentation
bin110100011010001110010000…
…011011100101100000010100
31010020010121220111100110222122
4310122032100123211200110
5220203004341323300134
62134122234225115112
766360051415363160
oct6432162033454024
91106117814313878
10230500433025044
1167498759343a36
1221a28640788a98
139b80136481320
1440cc3cd913ca0
151b9aca29d502e
hexd1a3906e5814

230500433025044 has 96 divisors (see below), whose sum is σ = 498354780897792. Its totient is φ = 90840015360000.

The previous prime is 230500433025017. The next prime is 230500433025157. The reversal of 230500433025044 is 440520334005032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 230500433024995 and 230500433025013.

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, 110041049 + ... + 112116159.

It is an arithmetic number, because the mean of its divisors is an integer number (5191195634352).

Almost surely, 2230500433025044 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 230500433025044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249177390448896).

230500433025044 is an abundant number, since it is smaller than the sum of its proper divisors (267854347872748).

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

230500433025044 is a wasteful number, since it uses less digits than its factorization.

230500433025044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076297 (or 2076295 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

The spelling of 230500433025044 in words is "two hundred thirty trillion, five hundred billion, four hundred thirty-three million, twenty-five thousand, forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 401 761 802 1522 1604 2807 3044 5213 5327 5614 9893 10426 10654 11228 19786 20852 21308 36491 39572 69251 72982 138502 145964 277004 305161 610322 1220644 2075111 2136127 3967093 4150222 4272254 7934186 8300444 8544508 14525777 15868372 26976443 27769651 29051554 53952886 55539302 58103108 107905772 111078604 188835101 377670202 755340404 832119511 1579159471 1664239022 3158318942 3328478044 5824836577 6316637884 10817553643 11054116297 11649673154 20529073123 21635107286 22108232594 23299346308 41058146246 43270214572 44216465188 75722875501 82116292492 143703511861 151445751002 287407023722 302891502004 574814047444 633242947871 1266485895742 2532971791484 4432700635097 8232158322323 8865401270194 16464316644646 17730802540388 32928633289292 57625108256261 115250216512522 230500433025044