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10024420040 = 2352297331493
BaseRepresentation
bin10010101011000000…
…01000001011001000
3221212121201022010022
421111200020023020
5131012222420130
64334414040012
7503262110255
oct112540101310
927777638108
1010024420040
114284584168
121b391a9008
13c39a8a6bb
146b14bc42c
153da0d37e5
hex2558082c8

10024420040 has 64 divisors (see below), whose sum is σ = 22699537200. Its totient is φ = 3984141312.

The previous prime is 10024420033. The next prime is 10024420103. The reversal of 10024420040 is 4002442001.

It can be written as a sum of positive squares in 8 ways, for example, as 9979610404 + 44809636 = 99898^2 + 6694^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6713534 + ... + 6715026.

Almost surely, 210024420040 is an apocalyptic number.

10024420040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024420040 is an abundant number, since it is smaller than the sum of its proper divisors (12675117160).

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

10024420040 is a wasteful number, since it uses less digits than its factorization.

10024420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 10024420040 its reverse (4002442001), we get a palindrome (14026862041).

The spelling of 10024420040 in words is "ten billion, twenty-four million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 229 458 733 916 1145 1466 1493 1832 2290 2932 2986 3665 4580 5864 5972 7330 7465 9160 11944 14660 14930 29320 29860 59720 167857 335714 341897 671428 683794 839285 1094369 1342856 1367588 1678570 1709485 2188738 2735176 3357140 3418970 4377476 5471845 6714280 6837940 8754952 10943690 13675880 21887380 43774760 250610501 501221002 1002442004 1253052505 2004884008 2506105010 5012210020 10024420040