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234438338412024 = 233103316675672591
BaseRepresentation
bin110101010011100001101101…
…111000011111110111111000
31010202002002022220002000021120
4311103201231320133313320
5221212014204113141044
62150335252540105240
7100244416401032145
oct6523415570376770
91122062286060246
10234438338412024
11687768172697aa
1222363879235220
13a0a7595899996
1441c6c3a1173cc
151c1842c3db519
hexd5386de1fdf8

234438338412024 has 64 divisors (see below), whose sum is σ = 587015249610240. Its totient is φ = 78023616464640.

The previous prime is 234438338412001. The next prime is 234438338412053. The reversal of 234438338412024 is 420214833834432.

It is a super-2 number, since 2×2344383384120242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38491969 + ... + 44164559.

It is an arithmetic number, because the mean of its divisors is an integer number (9172113275160).

Almost surely, 2234438338412024 is an apocalyptic number.

234438338412024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234438338412024 is an abundant number, since it is smaller than the sum of its proper divisors (352576911198216).

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

234438338412024 is a wasteful number, since it uses less digits than its factorization.

234438338412024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5675300 (or 5675296 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 51.

The spelling of 234438338412024 in words is "two hundred thirty-four trillion, four hundred thirty-eight billion, three hundred thirty-eight million, four hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 1033 1667 2066 3099 3334 4132 5001 6198 6668 8264 10002 12396 13336 20004 24792 40008 1722011 3444022 5166033 5672591 6888044 10332066 11345182 13776088 17017773 20664132 22690364 34035546 41328264 45380728 68071092 136142184 5859786503 9456209197 11719573006 17579359509 18912418394 23439146012 28368627591 35158719018 37824836788 46878292024 56737255182 70317438036 75649673576 113474510364 140634876072 226949020728 9768264100501 19536528201002 29304792301503 39073056402004 58609584603006 78146112804008 117219169206012 234438338412024