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234840924144 = 243210715241493
BaseRepresentation
bin1101101010110110011…
…1000001111111110000
3211110011110122000101100
43122231213001333300
512321423234033034
6255515012004400
722652401630221
oct3325547017760
9743143560340
10234840924144
1190660641192
123961b900700
13191b75b6c18
14b51b41d248
156197081099
hex36ad9c1ff0

234840924144 has 60 divisors (see below), whose sum is σ = 663370784856. Its totient is φ = 77548711296.

The previous prime is 234840924139. The next prime is 234840924167. The reversal of 234840924144 is 441429048432.

234840924144 is a `hidden beast` number, since 2 + 3 + 484 + 0 + 9 + 24 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 234840924144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7605339 + ... + 7636154.

Almost surely, 2234840924144 is an apocalyptic number.

234840924144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234840924144 is an abundant number, since it is smaller than the sum of its proper divisors (428529860712).

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

234840924144 is a wasteful number, since it uses less digits than its factorization.

234840924144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15241614 (or 15241605 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 234840924144 in words is "two hundred thirty-four billion, eight hundred forty million, nine hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 7704 15408 15241493 30482986 45724479 60965972 91448958 121931944 137173437 182897916 243863888 274346874 365795832 548693748 731591664 1097387496 1630839751 2194774992 3261679502 4892519253 6523359004 9785038506 13046718008 14677557759 19570077012 26093436016 29355115518 39140154024 58710231036 78280308048 117420462072 234840924144