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234040416240 = 24351571620731
BaseRepresentation
bin1101100111110111100…
…1010101011111110000
3211101002200022222222110
43121331321111133300
512313303321304430
6255303334205320
722623511500021
oct3317571253760
9741080288873
10234040416240
119028a793804
12394377b3840
13190ba7b6ac7
14b482da0c48
15614bb587b0
hex367de557f0

234040416240 has 80 divisors (see below), whose sum is σ = 725988283776. Its totient is φ = 62370950400.

The previous prime is 234040416229. The next prime is 234040416263. The reversal of 234040416240 is 42614040432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 234040416198 and 234040416207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66675 + ... + 687405.

Almost surely, 2234040416240 is an apocalyptic number.

234040416240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234040416240 is an abundant number, since it is smaller than the sum of its proper divisors (491947867536).

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

234040416240 is a wasteful number, since it uses less digits than its factorization.

234040416240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622318 (or 622312 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 234040416240 its reverse (42614040432), we get a palindrome (276654456672).

The spelling of 234040416240 in words is "two hundred thirty-four billion, forty million, four hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1571 3142 4713 6284 7855 9426 12568 15710 18852 23565 25136 31420 37704 47130 62840 75408 94260 125680 188520 377040 620731 1241462 1862193 2482924 3103655 3724386 4965848 6207310 7448772 9310965 9931696 12414620 14897544 18621930 24829240 29795088 37243860 49658480 74487720 148975440 975168401 1950336802 2925505203 3900673604 4875842005 5851010406 7801347208 9751684010 11702020812 14627526015 15602694416 19503368020 23404041624 29255052030 39006736040 46808083248 58510104060 78013472080 117020208120 234040416240