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4314305432125 = 53138213233809
BaseRepresentation
bin111110110010000000101…
…001001000101000111101
3120021102222100210222100201
4332302000221020220331
51031141144142312000
613101544202123501
7623461340046613
oct76620051105075
916242870728321
104314305432125
111413760a40847
125981841b0591
13253ab65b6680
1410cb563436b3
15773594d096a
hex3ec80a48a3d

4314305432125 has 32 divisors (see below), whose sum is σ = 5805490934880. Its totient is φ = 3182067072000.

The previous prime is 4314305432123. The next prime is 4314305432147. The reversal of 4314305432125 is 5212345034134.

It can be written as a sum of positive squares in 16 ways, for example, as 4306010958649 + 8294473476 = 2075093^2 + 91074^2 .

It is not a de Polignac number, because 4314305432125 - 21 = 4314305432123 is a prime.

It is a super-2 number, since 2×43143054321252 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314305432123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282780 + ... + 2951029.

It is an arithmetic number, because the mean of its divisors is an integer number (181421591715).

Almost surely, 24314305432125 is an apocalyptic number.

It is an amenable number.

4314305432125 is a deficient number, since it is larger than the sum of its proper divisors (1491185502755).

4314305432125 is a wasteful number, since it uses less digits than its factorization.

4314305432125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234658 (or 3234648 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 4314305432125 in words is "four trillion, three hundred fourteen billion, three hundred five million, four hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 821 1625 4105 10673 20525 53365 102625 266825 1334125 3233809 16169045 42039517 80845225 210197585 404226125 1050987925 2654957189 5254939625 13274785945 34514443457 66373929725 172572217285 331869648625 862861086425 4314305432125