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10423024440 = 2335167520111
BaseRepresentation
bin10011011010100001…
…01011101100111000
3222220101202111120020
421231100223230320
5132321243240230
64442133330440
7516202150233
oct115520535470
928811674506
1010423024440
114469586594
12202a796a20
13ca15309aa
1470c3dc41a
154100bd810
hex26d42bb38

10423024440 has 64 divisors (see below), whose sum is σ = 31456373760. Its totient is φ = 2762824320.

The previous prime is 10423024421. The next prime is 10423024441. The reversal of 10423024440 is 4442032401.

It is a happy number.

10423024440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10423024440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10423024441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240016 + ... + 280095.

It is an arithmetic number, because the mean of its divisors is an integer number (491505840).

Almost surely, 210423024440 is an apocalyptic number.

10423024440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10423024440 is an abundant number, since it is smaller than the sum of its proper divisors (21033349320).

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

10423024440 is a wasteful number, since it uses less digits than its factorization.

10423024440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520292 (or 520288 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10423024440 its reverse (4442032401), we get a palindrome (14865056841).

The spelling of 10423024440 in words is "ten billion, four hundred twenty-three million, twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 501 668 835 1002 1336 1670 2004 2505 3340 4008 5010 6680 10020 20040 520111 1040222 1560333 2080444 2600555 3120666 4160888 5201110 6241332 7801665 10402220 12482664 15603330 20804440 31206660 62413320 86858537 173717074 260575611 347434148 434292685 521151222 694868296 868585370 1042302444 1302878055 1737170740 2084604888 2605756110 3474341480 5211512220 10423024440