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2430012313314 = 2321812410930937
BaseRepresentation
bin100011010111001000000…
…001010100111011100010
322121022021201212201000200
4203113020001110323202
5304303131123011224
65100155433130030
7340363653600555
oct43271001247342
98538251781020
102430012313314
11857620667403
12332b52259916
131481c2989291
148588298469c
15433246335c9
hex235c8054ee2

2430012313314 has 48 divisors (see below), whose sum is σ = 5294505947640. Its totient is φ = 805469495040.

The previous prime is 2430012313259. The next prime is 2430012313319. The reversal of 2430012313314 is 4133132100342.

It is a happy number.

2430012313314 is a `hidden beast` number, since 2 + 4 + 30 + 0 + 1 + 2 + 313 + 314 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 969963007689 + 1460049305625 = 984867^2 + 1208325^2 .

It is not an unprimeable number, because it can be changed into a prime (2430012313319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78531654 + ... + 78562590.

Almost surely, 22430012313314 is an apocalyptic number.

2430012313314 is an abundant number, since it is smaller than the sum of its proper divisors (2864493634326).

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

2430012313314 is a wasteful number, since it uses less digits than its factorization.

2430012313314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55235 (or 55232 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2430012313314 its reverse (4133132100342), we get a palindrome (6563144413656).

The spelling of 2430012313314 in words is "two trillion, four hundred thirty billion, twelve million, three hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 181 362 543 1086 1629 3258 24109 30937 48218 61874 72327 92811 144654 185622 216981 278433 433962 556866 4363729 5599597 8727458 11199194 13091187 16798791 26182374 33597582 39273561 50396373 78547122 100792746 745860133 1491720266 2237580399 4475160798 6712741197 13425482394 135000684073 270001368146 405002052219 810004104438 1215006156657 2430012313314