Search a number
-
+
256265415420 = 22357610155751
BaseRepresentation
bin1110111010101010011…
…0111110101011111100
3220111110120120221022020
43232222212332223330
513144312421243140
6313420545120140
724341332043010
oct3565246765374
9814416527266
10256265415420
1199755167623
12417ba929050
131b220136ab1
14c590990540
1569ecdcd6d0
hex3baa9beafc

256265415420 has 48 divisors (see below), whose sum is σ = 820049330688. Its totient is φ = 58574952000.

The previous prime is 256265415407. The next prime is 256265415421. The reversal of 256265415420 is 24514562652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256265415421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305077456 + ... + 305078295.

It is an arithmetic number, because the mean of its divisors is an integer number (17084361056).

Almost surely, 2256265415420 is an apocalyptic number.

256265415420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256265415420 is an abundant number, since it is smaller than the sum of its proper divisors (563783915268).

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

256265415420 is a wasteful number, since it uses less digits than its factorization.

256265415420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610155770 (or 610155768 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 256265415420 in words is "two hundred fifty-six billion, two hundred sixty-five million, four hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 610155751 1220311502 1830467253 2440623004 3050778755 3660934506 4271090257 6101557510 7321869012 8542180514 9152336265 12203115020 12813270771 17084361028 18304672530 21355451285 25626541542 36609345060 42710902570 51253083084 64066353855 85421805140 128132707710 256265415420