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144428736 = 2631744249
BaseRepresentation
bin10001001101111…
…00111011000000
3101001202201222110
420212330323000
5243433204421
622155335320
73402424014
oct1046747300
9331681873
10144428736
11745874a1
1240451540
1323bcb0ba
1415278544
15ca2da76
hex89bcec0

144428736 has 56 divisors (see below), whose sum is σ = 404622000. Its totient is φ = 45309952.

The previous prime is 144428699. The next prime is 144428737. The reversal of 144428736 is 637824441.

144428736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144428694 and 144428703.

It is not an unprimeable number, because it can be changed into a prime (144428737) 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 7 ways as a sum of consecutive naturals, for example, 18861 + ... + 25388.

Almost surely, 2144428736 is an apocalyptic number.

144428736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144428736 is an abundant number, since it is smaller than the sum of its proper divisors (260193264).

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

144428736 is a wasteful number, since it uses less digits than its factorization.

144428736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44281 (or 44271 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 144428736 is about 12017.8507229870. The cubic root of 144428736 is about 524.6679514837.

The spelling of 144428736 in words is "one hundred forty-four million, four hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 44249 88498 132747 176996 265494 353992 530988 707984 752233 1061976 1415968 1504466 2123952 2256699 2831936 3008932 4247904 4513398 6017864 8495808 9026796 12035728 18053592 24071456 36107184 48142912 72214368 144428736