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256631702123142 = 232653105323207301
BaseRepresentation
bin111010010110011110111001…
…011100010111001010000110
31020122122202021120022122110200
4322112132321130113022012
5232114123211220420032
62305450550522431330
7105025012550021133
oct7226367134271206
91218582246278420
10256631702123142
1174852991523755
1224948b39962546
13b02735b8a4c98
14475307d7c558a
151ea08a5ca147c
hexe967b9717286

256631702123142 has 48 divisors (see below), whose sum is σ = 556894837379088. Its totient is φ = 85411676347200.

The previous prime is 256631702123123. The next prime is 256631702123191. The reversal of 256631702123142 is 241321207136652.

256631702123142 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 317 + 0 + 2 + 12 + 314 + 2 = 666.

It is a super-2 number, since 2×2566317021231422 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1237862892 + ... + 1238070192.

It is an arithmetic number, because the mean of its divisors is an integer number (11601975778731).

Almost surely, 2256631702123142 is an apocalyptic number.

256631702123142 is an abundant number, since it is smaller than the sum of its proper divisors (300263135255946).

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

256631702123142 is a wasteful number, since it uses less digits than its factorization.

256631702123142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313285 (or 313282 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

Adding to 256631702123142 its reverse (241321207136652), we get a palindrome (497952909259794).

The spelling of 256631702123142 in words is "two hundred fifty-six trillion, six hundred thirty-one billion, seven hundred two million, one hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 653 1306 1959 3918 5877 11754 105323 207301 210646 315969 414602 621903 631938 947907 1243806 1865709 1895814 3731418 68775919 135367553 137551838 206327757 270735106 406102659 412655514 618983271 812205318 1218307977 1237966542 2436615954 21833563223 43667126446 65500689669 131001379338 196502069007 393004138014 14257316784619 28514633569238 42771950353857 85543900707714 128315851061571 256631702123142