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2314524114540 = 22325111923238093
BaseRepresentation
bin100001101011100100011…
…000110011111001101100
322012021012011110100021100
4201223210120303321230
5300410121133131130
64531135552203100
7326135031236601
oct41534430637154
98167164410240
102314524114540
11812647583330
123146a1539490
1313a34944b0a1
148004893a6a8
15403157ecc60
hex21ae4633e6c

2314524114540 has 216 divisors, whose sum is σ = 8083292909328. Its totient is φ = 531565182720.

The previous prime is 2314524114533. The next prime is 2314524114583. The reversal of 2314524114540 is 454114254132.

2314524114540 is a `hidden beast` number, since 2 + 3 + 14 + 52 + 41 + 14 + 540 = 666.

2314524114540 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2314524114495 and 2314524114504.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 904267 + ... + 2333826.

It is an arithmetic number, because the mean of its divisors is an integer number (37422652358).

Almost surely, 22314524114540 is an apocalyptic number.

2314524114540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314524114540 is an abundant number, since it is smaller than the sum of its proper divisors (5768768794788).

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

2314524114540 is a wasteful number, since it uses less digits than its factorization.

2314524114540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238157 (or 3238133 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 2314524114540 its reverse (454114254132), we get a palindrome (2768638368672).

The spelling of 2314524114540 in words is "two trillion, three hundred fourteen billion, five hundred twenty-four million, one hundred fourteen thousand, five hundred forty".