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10440323120 = 2451133593217
BaseRepresentation
bin10011011100100101…
…01011000000110000
3222221121022100220002
421232102223000300
5132340210314440
64443552205132
7516502165553
oct115622530060
928847270802
1010440323120
114478321317
1220345397a8
13ca4ca96b6
1471082269a
15411889115
hex26e4ab030

10440323120 has 80 divisors (see below), whose sum is σ = 24564409920. Its totient is φ = 4126359552.

The previous prime is 10440323059. The next prime is 10440323123. The reversal of 10440323120 is 2132304401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10440323092 and 10440323101.

It is not an unprimeable number, because it can be changed into a prime (10440323123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3243752 + ... + 3246968.

It is an arithmetic number, because the mean of its divisors is an integer number (307055124).

Almost surely, 210440323120 is an apocalyptic number.

10440323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10440323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12282204960).

10440323120 is an abundant number, since it is smaller than the sum of its proper divisors (14124086800).

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

10440323120 is a wasteful number, since it uses less digits than its factorization.

10440323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 3696 counting only the distinct ones).

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

Adding to 10440323120 its reverse (2132304401), we get a palindrome (12572627521).

The spelling of 10440323120 in words is "ten billion, four hundred forty million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 359 452 565 718 904 1130 1436 1795 1808 2260 2872 3217 3590 4520 5744 6434 7180 9040 12868 14360 16085 25736 28720 32170 40567 51472 64340 81134 128680 162268 202835 257360 324536 363521 405670 649072 727042 811340 1154903 1454084 1622680 1817605 2309806 2908168 3245360 3635210 4619612 5774515 5816336 7270420 9239224 11549030 14540840 18478448 23098060 29081680 46196120 92392240 130504039 261008078 522016156 652520195 1044032312 1305040390 2088064624 2610080780 5220161560 10440323120