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14400422010 = 23251312308053
BaseRepresentation
bin11010110100101010…
…10000000001111010
31101011120221020022100
431122111100001322
5213443002001020
610340535004230
71016566365432
oct153225200172
941146836270
1014400422010
11611a732217
12295a809676
13148656a590
149a874b2c2
1559437ba90
hex35a55007a

14400422010 has 48 divisors (see below), whose sum is σ = 40321184904. Its totient is φ = 3544718976.

The previous prime is 14400421927. The next prime is 14400422021. The reversal of 14400422010 is 1022400441.

14400422010 is a `hidden beast` number, since 1 + 440 + 0 + 4 + 220 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10931329809 + 3469092201 = 104553^2 + 58899^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6152857 + ... + 6155196.

Almost surely, 214400422010 is an apocalyptic number.

14400422010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14400422010 is an abundant number, since it is smaller than the sum of its proper divisors (25920762894).

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

14400422010 is a wasteful number, since it uses less digits than its factorization.

14400422010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12308079 (or 12308076 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14400422010 its reverse (1022400441), we get a palindrome (15422822451).

The spelling of 14400422010 in words is "fourteen billion, four hundred million, four hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 12308053 24616106 36924159 61540265 73848318 110772477 123080530 160004689 184620795 221544954 320009378 369241590 480014067 553862385 800023445 960028134 1107724770 1440042201 1600046890 2400070335 2880084402 4800140670 7200211005 14400422010