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540334424520 = 2332511136448087
BaseRepresentation
bin1111101110011100111…
…00010000000111001000
31220122200211112202221100
413313032130100013020
532323101103041040
61052120505541400
754015663553632
oct7671634200710
91818624482840
10540334424520
11199177772640
1288878aa4860
133bc51591c67
141c21bda5a52
15e0c6b78b30
hex7dce7101c8

540334424520 has 96 divisors (see below), whose sum is σ = 1915731155520. Its totient is φ = 130990162560.

The previous prime is 540334424491. The next prime is 540334424533. The reversal of 540334424520 is 25424433045.

540334424520 is a `hidden beast` number, since 5 + 40 + 33 + 44 + 24 + 520 = 666.

It is a super-2 number, since 2×5403344245202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68220084 + ... + 68228003.

It is an arithmetic number, because the mean of its divisors is an integer number (19955532870).

Almost surely, 2540334424520 is an apocalyptic number.

It is an amenable number.

540334424520 is an abundant number, since it is smaller than the sum of its proper divisors (1375396731000).

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

540334424520 is a wasteful number, since it uses less digits than its factorization.

540334424520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136448115 (or 136448108 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 540334424520 its reverse (25424433045), we get a palindrome (565758857565).

The spelling of 540334424520 in words is "five hundred forty billion, three hundred thirty-four million, four hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 136448087 272896174 409344261 545792348 682240435 818688522 1091584696 1228032783 1364480870 1500928957 1637377044 2046721305 2456065566 2728961740 3001857914 3274754088 4093442610 4502786871 4912131132 5457923480 6003715828 6140163915 7504644785 8186885220 9005573742 9824262264 12007431656 12280327830 13508360613 15009289570 16373770440 18011147484 22513934355 24560655660 27016721226 30018579140 36022294968 45027868710 49121311320 54033442452 60037158280 67541803065 90055737420 108066884904 135083606130 180111474840 270167212260 540334424520