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314054440001 = 10129310612457
BaseRepresentation
bin1001001000111110001…
…10100111010001000001
31010000121222211112221222
410210133012213101001
520121140414040001
6400135152324425
731455363460151
oct4443706472101
91100558745858
10314054440001
1111120a5a9075
1250a48243715
13237cc7bbab3
14112b394a761
15828149761b
hex491f1a7441

314054440001 has 8 divisors (see below), whose sum is σ = 318246390504. Its totient is φ = 309883715200.

The previous prime is 314054439991. The next prime is 314054440009. The reversal of 314054440001 is 100044450413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 112295361025 + 201759078976 = 335105^2 + 449176^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314054440001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314054440009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5276636 + ... + 5335821.

It is an arithmetic number, because the mean of its divisors is an integer number (39780798813).

Almost surely, 2314054440001 is an apocalyptic number.

It is an amenable number.

314054440001 is a deficient number, since it is larger than the sum of its proper divisors (4191950503).

314054440001 is a wasteful number, since it uses less digits than its factorization.

314054440001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10612851.

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 314054440001 its reverse (100044450413), we get a palindrome (414098890414).

The spelling of 314054440001 in words is "three hundred fourteen billion, fifty-four million, four hundred forty thousand, one".

Divisors: 1 101 293 29593 10612457 1071858157 3109449901 314054440001