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230113414133984 = 25171297932591309
BaseRepresentation
bin110100010100100101110100…
…010011101011100011100000
31010011202121221111000202210102
4310110211310103223203200
5220130134233004241414
62133224350523121532
766320100630156623
oct6424456423534340
91104677844022712
10230113414133984
1167359607263947
12219856309732a8
139b527a932c244
1440b779779ddba
151b90ba0a5aede
hexd149744eb8e0

230113414133984 has 48 divisors (see below), whose sum is σ = 479721921109200. Its totient is φ = 108280318777344.

The previous prime is 230113414133963. The next prime is 230113414133987. The reversal of 230113414133984 is 489331414311032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230113414133987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9235079 + ... + 23356230.

It is an arithmetic number, because the mean of its divisors is an integer number (9994206689775).

Almost surely, 2230113414133984 is an apocalyptic number.

It is an amenable number.

230113414133984 is an abundant number, since it is smaller than the sum of its proper divisors (249608506975216).

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

230113414133984 is a wasteful number, since it uses less digits than its factorization.

230113414133984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32604315 (or 32604307 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The spelling of 230113414133984 in words is "two hundred thirty trillion, one hundred thirteen billion, four hundred fourteen million, one hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 12979 25958 51916 103832 207664 220643 415328 441286 882572 1765144 3530288 7060576 32591309 65182618 130365236 260730472 521460944 554052253 1042921888 1108104506 2216209012 4432418024 8864836048 17729672096 423002599511 846005199022 1692010398044 3384020796088 6768041592176 7191044191687 13536083184352 14382088383374 28764176766748 57528353533496 115056707066992 230113414133984