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10324442040 = 23351117460091
BaseRepresentation
bin10011001110110001…
…00111101110111000
3222122112020222221020
421213120213232320
5132121024121130
64424252342440
7513564211053
oct114730475670
928575228836
1010324442040
114418973130
122001774a20
13c86c95503
146dd299a9a
154065e8e10
hex267627bb8

10324442040 has 128 divisors (see below), whose sum is σ = 35776753920. Its totient is φ = 2355660800.

The previous prime is 10324442033. The next prime is 10324442083. The reversal of 10324442040 is 4024442301.

It is a happy number.

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 10324442040.

It is a congruent number.

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, 207606 + ... + 252485.

It is an arithmetic number, because the mean of its divisors is an integer number (279505890).

Almost surely, 210324442040 is an apocalyptic number.

10324442040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10324442040 is an abundant number, since it is smaller than the sum of its proper divisors (25452311880).

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

10324442040 is a wasteful number, since it uses less digits than its factorization.

10324442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460133 (or 460129 counting only the distinct ones).

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

Adding to 10324442040 its reverse (4024442301), we get a palindrome (14348884341).

The spelling of 10324442040 in words is "ten billion, three hundred twenty-four million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 460091 920182 1380273 1840364 2300455 2760546 3680728 4600910 5061001 5521092 6901365 7821547 9201820 10122002 11042184 13802730 15183003 15643094 18403640 20244004 23464641 25305005 27605460 30366006 31286188 39107735 40488008 46929282 50610010 55210920 60732012 62572376 75915015 78215470 86037017 93858564 101220020 117323205 121464024 151830030 156430940 172074034 187717128 202440040 234646410 258111051 303660060 312861880 344148068 430185085 469292820 516222102 607320120 688296136 860370170 938585640 1032444204 1290555255 1720740340 2064888408 2581110510 3441480680 5162221020 10324442040