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14312144440 = 23511191711979
BaseRepresentation
bin11010101010001000…
…11111111000111000
31100221102211021020201
431111010133320320
5213302402110230
610324102531544
71014445135426
oct152504377070
940842737221
1014312144440
116084917a50
122935136bb4
13147119c629
1499ab2c116
1558b7405ca
hex35511fe38

14312144440 has 64 divisors (see below), whose sum is σ = 36978768000. Its totient is φ = 4930496640.

The previous prime is 14312144437. The next prime is 14312144443. The reversal of 14312144440 is 4444121341.

It is an interprime number because it is at equal distance from previous prime (14312144437) and next prime (14312144443).

It is a junction number, because it is equal to n+sod(n) for n = 14312144399 and 14312144408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14312144443) 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, 847630 + ... + 864349.

It is an arithmetic number, because the mean of its divisors is an integer number (577793250).

Almost surely, 214312144440 is an apocalyptic number.

14312144440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14312144440 is an abundant number, since it is smaller than the sum of its proper divisors (22666623560).

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

14312144440 is a wasteful number, since it uses less digits than its factorization.

14312144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712020 (or 1712016 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14312144440 its reverse (4444121341), we get a palindrome (18756265781).

The spelling of 14312144440 in words is "fourteen billion, three hundred twelve million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 1711979 3423958 6847916 8559895 13695832 17119790 18831769 32527601 34239580 37663538 65055202 68479160 75327076 94158845 130110404 150654152 162638005 188317690 260220808 325276010 357803611 376635380 650552020 715607222 753270760 1301104040 1431214444 1789018055 2862428888 3578036110 7156072220 14312144440