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2312514252540 = 223354282433801
BaseRepresentation
bin100001101001101100100…
…101110010111011111100
322012002000002112202221000
4201221230211302323330
5300342012122040130
64530204314010300
7326034154551612
oct41515445627374
98162002482830
102312514252540
11811806010258
12314220416990
1313a0b8c2cc2b
147dcd7a356b2
154024913d260
hex21a6c972efc

2312514252540 has 48 divisors (see below), whose sum is σ = 7194488787360. Its totient is φ = 616670467200.

The previous prime is 2312514252487. The next prime is 2312514252541. The reversal of 2312514252540 is 452524152132.

2312514252540 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 51 + 42 + 525 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2312514252495 and 2312514252504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312514252541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2141216361 + ... + 2141217440.

It is an arithmetic number, because the mean of its divisors is an integer number (149885183070).

Almost surely, 22312514252540 is an apocalyptic number.

2312514252540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312514252540 is an abundant number, since it is smaller than the sum of its proper divisors (4881974534820).

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

2312514252540 is a wasteful number, since it uses less digits than its factorization.

2312514252540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282433819 (or 4282433811 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 2312514252540 in words is "two trillion, three hundred twelve billion, five hundred fourteen million, two hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4282433801 8564867602 12847301403 17129735204 21412169005 25694602806 38541904209 42824338010 51389205612 64236507015 77083808418 85648676020 115625712627 128473014030 154167616836 192709521045 231251425254 256946028060 385419042090 462502850508 578128563135 770838084180 1156257126270 2312514252540