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540224130324 = 223436147935831
BaseRepresentation
bin1111101110001111101…
…11100000110100010100
31220122102011000020202010
413313013313200310110
532322334334132244
61052101525544220
754013154225334
oct7670767406424
91818364006663
10540224130324
1119912048aa0a
1288847b75070
133bc34785a18
141c20b4950c4
15e0bc13deb9
hex7dc7de0d14

540224130324 has 96 divisors (see below), whose sum is σ = 1313755914240. Its totient is φ = 172637539200.

The previous prime is 540224130317. The next prime is 540224130343. The reversal of 540224130324 is 423031422045.

It is a super-2 number, since 2×5402241303242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540224130291 and 540224130300.

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, 15059089 + ... + 15094919.

It is an arithmetic number, because the mean of its divisors is an integer number (13684957440).

Almost surely, 2540224130324 is an apocalyptic number.

It is an amenable number.

540224130324 is an abundant number, since it is smaller than the sum of its proper divisors (773531783916).

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

540224130324 is a wasteful number, since it uses less digits than its factorization.

540224130324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36421 (or 36419 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 540224130324 its reverse (423031422045), we get a palindrome (963255552369).

The spelling of 540224130324 in words is "five hundred forty billion, two hundred twenty-four million, one hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 43 61 86 122 129 172 183 244 258 366 479 516 732 958 1437 1916 2623 2874 5246 5748 7869 10492 15738 20597 29219 31476 35831 41194 58438 61791 71662 82388 87657 107493 116876 123582 143324 175314 214986 247164 350628 429972 1256417 1540733 2185691 2512834 3081466 3769251 4371382 4622199 5025668 6162932 6557073 7538502 8742764 9244398 13114146 15077004 17163049 18488796 26228292 34326098 51489147 68652196 93984713 102978294 187969426 205956588 281954139 375938852 563908278 738011107 1046945989 1127816556 1476022214 2093891978 2214033321 2952044428 3140837967 4187783956 4428066642 6281675934 8856133284 12563351868 45018677527 90037355054 135056032581 180074710108 270112065162 540224130324