Search a number
-
+
256031230112 = 25737109283411
BaseRepresentation
bin1110111001110010100…
…1101000100010100000
3220110212020221002110022
43232130221220202200
513143322443330422
6313341421453012
724332456356010
oct3563451504240
9813766832408
10256031230112
1199644a55749
1241754411168
131b1b37707c8
14c56b82dc40
1569d7570342
hex3b9ca688a0

256031230112 has 96 divisors (see below), whose sum is σ = 597069728640. Its totient is φ = 105782215680.

The previous prime is 256031230069. The next prime is 256031230129. The reversal of 256031230112 is 211032130652.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761687 + ... + 1045097.

It is an arithmetic number, because the mean of its divisors is an integer number (6219476340).

Almost surely, 2256031230112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256031230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298534864320).

256031230112 is an abundant number, since it is smaller than the sum of its proper divisors (341038498528).

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

256031230112 is a wasteful number, since it uses less digits than its factorization.

256031230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283574 (or 283566 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 256031230112 its reverse (211032130652), we get a palindrome (467063360764).

The spelling of 256031230112 in words is "two hundred fifty-six billion, thirty-one million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 109 112 148 218 224 259 296 436 518 592 763 872 1036 1184 1526 1744 2072 3052 3488 4033 4144 6104 8066 8288 12208 16132 24416 28231 32264 56462 64528 112924 129056 225848 283411 451696 566822 903392 1133644 1983877 2267288 3967754 4534576 7935508 9069152 10486207 15871016 20972414 30891799 31742032 41944828 61783598 63484064 73403449 83889656 123567196 146806898 167779312 216242593 247134392 293613796 335558624 432485186 494268784 587227592 864970372 988537568 1142996563 1174455184 1729940744 2285993126 2348910368 3459881488 4571986252 6919762976 8000975941 9143972504 16001951882 18287945008 32003903764 36575890016 64007807528 128015615056 256031230112