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540531130944 = 26372221181081
BaseRepresentation
bin1111101110110100010…
…10101000001001000000
31220200012112200111102110
413313122022220021000
532324001432142234
61052152214015320
754023602543020
oct7673212501100
91820175614373
10540531130944
11199268806032
1288912947540
133bc832650ac
141c23a16ba80
15e0d90821e9
hex7dda2a8240

540531130944 has 112 divisors (see below), whose sum is σ = 1635208125056. Its totient is φ = 154367078400.

The previous prime is 540531130921. The next prime is 540531130969. The reversal of 540531130944 is 449031135045.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×5405311309442 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2894484 + ... + 3075564.

Almost surely, 2540531130944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540531130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817604062528).

540531130944 is an abundant number, since it is smaller than the sum of its proper divisors (1094676994112).

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

540531130944 is a wasteful number, since it uses less digits than its factorization.

540531130944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183324 (or 183314 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

Adding to 540531130944 its reverse (449031135045), we get a palindrome (989562265989).

The spelling of 540531130944 in words is "five hundred forty billion, five hundred thirty-one million, one hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2221 4442 6663 8884 13326 15547 17768 26652 31094 35536 46641 53304 62188 71072 93282 106608 124376 142144 181081 186564 213216 248752 362162 373128 426432 497504 543243 724324 746256 995008 1086486 1267567 1448648 1492512 2172972 2535134 2897296 2985024 3802701 4345944 5070268 5794592 7605402 8691888 10140536 11589184 15210804 17383776 20281072 30421608 34767552 40562144 60843216 81124288 121686432 243372864 402180901 804361802 1206542703 1608723604 2413085406 2815266307 3217447208 4826170812 5630532614 6434894416 8445798921 9652341624 11261065228 12869788832 16891597842 19304683248 22522130456 25739577664 33783195684 38609366496 45044260912 67566391368 77218732992 90088521824 135132782736 180177043648 270265565472 540531130944