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144631320 = 23351498089
BaseRepresentation
bin10001001111011…
…10011000011000
3101002011000212120
420213232120120
5244011200240
622203541240
73404226441
oct1047563030
9332130776
10144631320
1174705719
124052a820
1323c6c382
14152cc2c8
15ca6dad0
hex89ee618

144631320 has 64 divisors (see below), whose sum is σ = 436860000. Its totient is φ = 38304768.

The previous prime is 144631309. The next prime is 144631321. The reversal of 144631320 is 23136441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144631321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13836 + ... + 21924.

Almost surely, 2144631320 is an apocalyptic number.

144631320 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 144631320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218430000).

144631320 is an abundant number, since it is smaller than the sum of its proper divisors (292228680).

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

144631320 is a wasteful number, since it uses less digits than its factorization.

144631320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 144631320 is about 12026.2762316521. The cubic root of 144631320 is about 524.9131466299.

Adding to 144631320 its reverse (23136441), we get a palindrome (167767761).

The spelling of 144631320 in words is "one hundred forty-four million, six hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 596 745 894 1192 1490 1788 2235 2980 3576 4470 5960 8089 8940 16178 17880 24267 32356 40445 48534 64712 80890 97068 121335 161780 194136 242670 323560 485340 970680 1205261 2410522 3615783 4821044 6026305 7231566 9642088 12052610 14463132 18078915 24105220 28926264 36157830 48210440 72315660 144631320