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42234254240 = 255311984631
BaseRepresentation
bin100111010101010110…
…111001001110100000
311001000101012102010112
4213111112321032200
51142443432113430
631222510350452
73023414144363
oct472526711640
9131011172115
1042234254240
1116a03154352
1282281bb428
133ca0c183a9
1420892040da
151172c1d195
hex9d55b93a0

42234254240 has 48 divisors (see below), whose sum is σ = 99811595520. Its totient is φ = 16888085760.

The previous prime is 42234254239. The next prime is 42234254267. The reversal of 42234254240 is 4245243224.

42234254240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42234254197 and 42234254206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456725 + ... + 541355.

It is an arithmetic number, because the mean of its divisors is an integer number (2079408240).

Almost surely, 242234254240 is an apocalyptic number.

42234254240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42234254240 is an abundant number, since it is smaller than the sum of its proper divisors (57577341280).

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

42234254240 is a wasteful number, since it uses less digits than its factorization.

42234254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87765 (or 87757 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

Adding to 42234254240 its reverse (4245243224), we get a palindrome (46479497464).

The spelling of 42234254240 in words is "forty-two billion, two hundred thirty-four million, two hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3119 6238 12476 15595 24952 31190 49904 62380 84631 99808 124760 169262 249520 338524 423155 499040 677048 846310 1354096 1692620 2708192 3385240 6770480 13540960 263964089 527928178 1055856356 1319820445 2111712712 2639640890 4223425424 5279281780 8446850848 10558563560 21117127120 42234254240