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540504022450331 = 4313124335573037
BaseRepresentation
bin111101011100101011110011…
…0010000100000000010011011
32121212202200100122200000111102
41322321113212100200002123
51031321104214221402311
65153320041532222015
7221564061355250402
oct17271274620400233
92555680318600442
10540504022450331
11147248517842855
125075537360a90b
131a27940655b434
14976876a074639
154274b3b45a43b
hex1eb95e642009b

540504022450331 has 48 divisors (see below), whose sum is σ = 559802348294112. Its totient is φ = 521583980037120.

The previous prime is 540504022450313. The next prime is 540504022450339. The reversal of 540504022450331 is 133054220405045.

It is a de Polignac number, because none of the positive numbers 2k-540504022450331 is a prime.

It is a super-2 number, since 2×5405040224503312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540504022450339) 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 47 ways as a sum of consecutive naturals, for example, 177973005545 + ... + 177973008581.

It is an arithmetic number, because the mean of its divisors is an integer number (11662548922794).

Almost surely, 2540504022450331 is an apocalyptic number.

540504022450331 is a deficient number, since it is larger than the sum of its proper divisors (19298325843781).

540504022450331 is a wasteful number, since it uses less digits than its factorization.

540504022450331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4201 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

Adding to 540504022450331 its reverse (133054220405045), we get a palindrome (673558242855376).

The spelling of 540504022450331 in words is "five hundred forty trillion, five hundred four billion, twenty-two million, four hundred fifty thousand, three hundred thirty-one".

Divisors: 1 43 131 433 557 3037 5633 17161 18619 23951 56723 72967 130591 241181 397847 737923 1315021 1691609 2439089 3137581 7430713 9558677 10370783 17107421 31594711 52117957 56545903 72739187 172267751 221600779 319520659 411023111 732466697 1358572573 2241072151 4138907141 7407513293 9528833497 22567075381 29029702049 31496067971 95953137307 177973007063 970384241383 1248277188107 4125984904201 12569860987217 540504022450331