Search a number
-
+
540634435531 = 31531913172009
BaseRepresentation
bin1111101111000000101…
…00101100111111001011
31220200110202001220200021
413313200110230333023
532324204403414111
61052210344121311
754026265610411
oct7674024547713
91820422056607
10540634435531
11199311054323
1288941466237
133bc9b794a78
141c249b7d2b1
15e0e318ad71
hex7de052cfcb

540634435531 has 16 divisors (see below), whose sum is σ = 568904497920. Its totient is φ = 513051701760.

The previous prime is 540634435519. The next prime is 540634435541. The reversal of 540634435531 is 135534436045.

It is a cyclic number.

It is not a de Polignac number, because 540634435531 - 27 = 540634435403 is a prime.

It is a super-2 number, since 2×5406344355312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540634435541) 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, 3057055 + ... + 3229063.

It is an arithmetic number, because the mean of its divisors is an integer number (35556531120).

Almost surely, 2540634435531 is an apocalyptic number.

540634435531 is a deficient number, since it is larger than the sum of its proper divisors (28270062389).

540634435531 is a wasteful number, since it uses less digits than its factorization.

540634435531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174006.

The product of its (nonzero) digits is 1296000, while the sum is 43.

The spelling of 540634435531 in words is "five hundred forty billion, six hundred thirty-four million, four hundred thirty-five thousand, five hundred thirty-one".

Divisors: 1 31 53 1643 1913 59303 101389 172009 3143059 5332279 9116477 282610787 329053217 10200649727 17439820501 540634435531