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42504499440524 = 2211171011134978901
BaseRepresentation
bin10011010101000010110011…
…00101110010101110001100
312120111101112122110211120102
421222201121211302232030
521032343203324044044
6230222144131110232
711644564056041522
oct1152413145625614
9176441478424512
1042504499440524
11125a8069931640
1249257a6a42378
131a942071b8834
14a6d32b990312
154da98d85a24e
hex26a859972b8c

42504499440524 has 96 divisors (see below), whose sum is σ = 87536744753472. Its totient is φ = 17844377600000.

The previous prime is 42504499440497. The next prime is 42504499440527.

42504499440524 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42504499440524.

It is not an unprimeable number, because it can be changed into a prime (42504499440527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6047474 + ... + 11026374.

It is an arithmetic number, because the mean of its divisors is an integer number (911841091182).

Almost surely, 242504499440524 is an apocalyptic number.

42504499440524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42504499440524 is an abundant number, since it is smaller than the sum of its proper divisors (45032245312948).

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

42504499440524 is a wasteful number, since it uses less digits than its factorization.

42504499440524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979147 (or 4979145 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 56.

The spelling of 42504499440524 in words is "forty-two trillion, five hundred four billion, four hundred ninety-nine million, four hundred forty thousand, five hundred twenty-four".

Divisors: 1 2 4 11 17 22 34 44 68 101 113 187 202 226 374 404 452 748 1111 1243 1717 1921 2222 2486 3434 3842 4444 4972 6868 7684 11413 18887 21131 22826 37774 42262 45652 75548 84524 125543 194021 251086 388042 502172 776084 2134231 4268462 4978901 8536924 9957802 19915604 54767911 84641317 109535822 169282634 219071644 338565268 502869001 562615813 931054487 1005738002 1125231626 1862108974 2011476004 2250463252 3724217948 5531559011 6188773943 8548773017 9564468821 11063118022 12377547886 17097546034 19128937642 22126236044 24755095772 34195092068 38257875284 56824197113 94036503187 105209157031 113648394226 188073006374 210418314062 227296788452 376146012748 420836628124 625066168243 966011350921 1250132336486 1932022701842 2500264672972 3864045403684 10626124860131 21252249720262 42504499440524