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42502312424 = 231113673111783
BaseRepresentation
bin100111100101010101…
…011101000111101000
311001201001121011211102
4213211111131013220
51144021042444144
631305244020532
73033150460205
oct474525350750
9131631534742
1042502312424
11170304a1440
1282a1b31748
1340146113c0
1420b2a60cac
15118b51cb4e
hex9e555d1e8

42502312424 has 128 divisors (see below), whose sum is σ = 95380346880. Its totient is φ = 17500665600.

The previous prime is 42502312397. The next prime is 42502312441. The reversal of 42502312424 is 42421320524.

It is a super-2 number, since 2×425023124242 (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 23836637 + ... + 23838419.

It is an arithmetic number, because the mean of its divisors is an integer number (745158960).

Almost surely, 242502312424 is an apocalyptic number.

42502312424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42502312424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47690173440).

42502312424 is an abundant number, since it is smaller than the sum of its proper divisors (52878034456).

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

42502312424 is a wasteful number, since it uses less digits than its factorization.

42502312424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 42502312424 its reverse (42421320524), we get a palindrome (84923632948).

The spelling of 42502312424 in words is "forty-two billion, five hundred two million, three hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 67 88 104 134 143 268 286 311 536 572 622 737 871 1144 1244 1474 1742 1783 2488 2948 3421 3484 3566 4043 5896 6842 6968 7132 8086 9581 13684 14264 16172 19162 19613 20837 23179 27368 32344 38324 39226 41674 44473 46358 76648 78452 83348 88946 92716 119461 156904 166696 177892 185432 229207 238922 254969 270881 355784 458414 477844 509938 541762 554513 916828 955688 1019876 1083524 1109026 1314071 1552993 1833656 2039752 2167048 2218052 2628142 2979691 3105986 4436104 5256284 5959382 6099643 6211972 7208669 10512568 11918764 12199286 12423944 14417338 17082923 23837528 24398572 28834676 34165846 37152371 48797144 57669352 68331692 74304742 79295359 136663384 148609484 158590718 297218968 317181436 408676081 482980823 634362872 817352162 965961646 1634704324 1931923292 3269408648 3863846584 5312789053 10625578106 21251156212 42502312424