Search a number
-
+
540426624045 = 35711467901839
BaseRepresentation
bin1111101110100111110…
…11111101110000101101
31220122221021000222220120
413313103323331300231
532323243203432140
61052134002035153
754021163340130
oct7672373756055
91818837028816
10540426624045
111992148164a0
12888a3948ab9
133bc677040a9
141c22a326217
15e0cecdc1d0
hex7dd3efdc2d

540426624045 has 32 divisors (see below), whose sum is σ = 1078045839360. Its totient is φ = 224592882240.

The previous prime is 540426623959. The next prime is 540426624053.

540426624045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540426624045 - 211 = 540426621997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540426623988 and 540426624006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233949765 + ... + 233952074.

It is an arithmetic number, because the mean of its divisors is an integer number (33688932480).

Almost surely, 2540426624045 is an apocalyptic number.

540426624045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540426624045 is a deficient number, since it is larger than the sum of its proper divisors (537619215315).

540426624045 is a wasteful number, since it uses less digits than its factorization.

540426624045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467901865.

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 540426624045 in words is "five hundred forty billion, four hundred twenty-six million, six hundred twenty-four thousand, forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 467901839 1403705517 2339509195 3275312873 5146920229 7018527585 9825938619 15440760687 16376564365 25734601145 36028441603 49129693095 77203803435 108085324809 180142208015 540426624045