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10024434140 = 2257671068703
BaseRepresentation
bin10010101011000000…
…01011100111011100
3221212121202000110112
421111200023213130
5131012223343030
64334414225152
7503262166340
oct112540134734
927777660415
1010024434140
114284593816
121b391b51b8
13c39a93c46
146b14c3620
153da0d7a95
hex25580b9dc

10024434140 has 48 divisors (see below), whose sum is σ = 24417748992. Its totient is φ = 3385647936.

The previous prime is 10024434127. The next prime is 10024434157. The reversal of 10024434140 is 4143442001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524972 + ... + 543731.

It is an arithmetic number, because the mean of its divisors is an integer number (508703104).

Almost surely, 210024434140 is an apocalyptic number.

10024434140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024434140 is an abundant number, since it is smaller than the sum of its proper divisors (14393314852).

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

10024434140 is a wasteful number, since it uses less digits than its factorization.

10024434140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068786 (or 1068784 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10024434140 its reverse (4143442001), we get a palindrome (14167876141).

The spelling of 10024434140 in words is "ten billion, twenty-four million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1340 1876 2345 4690 9380 1068703 2137406 4274812 5343515 7480921 10687030 14961842 21374060 29923684 37404605 71603101 74809210 143206202 149618420 286412404 358015505 501221707 716031010 1002443414 1432062020 2004886828 2506108535 5012217070 10024434140