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24013031042 = 27211213155773
BaseRepresentation
bin10110010111010010…
…011100011010000010
32021222111202100221002
4112113102130122002
5343134313443132
615010442332002
71510031252600
oct262722343202
967874670832
1024013031042
11a202803700
1247a1aba002
132358c0c710
14123b26c870
15958217262
hex59749c682

24013031042 has 72 divisors (see below), whose sum is σ = 49598753148. Its totient is φ = 8635999680.

The previous prime is 24013031023. The next prime is 24013031051.

24013031042 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 21561691921 + 2451339121 = 146839^2 + 49511^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76268 + ... + 232040.

Almost surely, 224013031042 is an apocalyptic number.

24013031042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24013031042 is an abundant number, since it is smaller than the sum of its proper divisors (25585722106).

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

24013031042 is a wasteful number, since it uses less digits than its factorization.

24013031042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155824 (or 155806 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 240130 and 31042, that added together give a palindrome (271172).

The spelling of 24013031042 in words is "twenty-four billion, thirteen million, thirty-one thousand, forty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 121 143 154 182 242 286 539 637 847 1001 1078 1274 1573 1694 2002 3146 5929 7007 11011 11858 14014 22022 77077 154154 155773 311546 1090411 1713503 2025049 2180822 3427006 4050098 7632877 11994521 14175343 15265754 18848533 22275539 23989042 28350686 37697066 44551078 83961647 99227401 131939731 155928773 167923294 198454802 245030929 263879462 311857546 490061858 923578117 1091501411 1715216503 1847156234 2183002822 3430433006 12006515521 24013031042