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540250402032144 = 24323751738903001
BaseRepresentation
bin111101011010110101101100…
…1010011011000101000010000
32121211212102201102002212021200
41322311223121103120220100
51031302430310410012034
65153003335230351200
7221536542411255516
oct17265533123305020
92554772642085250
10540250402032144
1114715a9aa714861
125071419265b500
131a25b5183c087b
14975a38a8ba4b6
15426d245899a99
hex1eb5ad94d8a10

540250402032144 has 30 divisors (see below), whose sum is σ = 1511950777909806. Its totient is φ = 180083467344000.

The previous prime is 540250402032053. The next prime is 540250402032217. The reversal of 540250402032144 is 441230204052045.

540250402032144 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 504 + 0 + 2 + 0 + 3 + 2 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 482201545791744 + 58048856240400 = 21959088^2 + 7618980^2 .

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 = 540250402032099 and 540250402032108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1875869451357 + ... + 1875869451644.

Almost surely, 2540250402032144 is an apocalyptic number.

It is an amenable number.

540250402032144 is an abundant number, since it is smaller than the sum of its proper divisors (971700375877662).

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

540250402032144 is a wasteful number, since it uses less digits than its factorization.

540250402032144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751738903015 (or 3751738903006 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 540250402032144 its reverse (441230204052045), we get a palindrome (981480606084189).

The spelling of 540250402032144 in words is "five hundred forty trillion, two hundred fifty billion, four hundred two million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3751738903001 7503477806002 11255216709003 15006955612004 22510433418006 30013911224008 33765650127009 45020866836012 60027822448016 67531300254018 90041733672024 135062600508036 180083467344048 270125201016072 540250402032144