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144123320 = 23511327553
BaseRepresentation
bin10001001011100…
…10010110111000
3101001012020000202
420211302112320
5243343421240
622145021332
73400012415
oct1045622670
9331166022
10144123320
1174398a90
1240324848
1323b22093
14151d910c
15c9bd315
hex89725b8

144123320 has 32 divisors (see below), whose sum is σ = 353758320. Its totient is φ = 52408320.

The previous prime is 144123311. The next prime is 144123347. The reversal of 144123320 is 23321441.

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 = 144123292 and 144123301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163337 + ... + 164216.

Almost surely, 2144123320 is an apocalyptic number.

144123320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144123320 is an abundant number, since it is smaller than the sum of its proper divisors (209635000).

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

144123320 is a wasteful number, since it uses less digits than its factorization.

144123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327575 (or 327571 counting only the distinct ones).

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

The square root of 144123320 is about 12005.1372337012. The cubic root of 144123320 is about 524.2978610704.

Adding to 144123320 its reverse (23321441), we get a palindrome (167444761).

The spelling of 144123320 in words is "one hundred forty-four million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 327553 655106 1310212 1637765 2620424 3275530 3603083 6551060 7206166 13102120 14412332 18015415 28824664 36030830 72061660 144123320