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144124368 = 24317347509
BaseRepresentation
bin10001001011100…
…10100111010000
3101001012021110120
420211302213100
5243343434433
622145030240
73400015443
oct1045624720
9331167416
10144124368
1174399853
1240325380
1323b226bb
14151d965a
15c9bd7b3
hex89729d0

144124368 has 80 divisors (see below), whose sum is σ = 396135360. Its totient is φ = 44996608.

The previous prime is 144124339. The next prime is 144124423. The reversal of 144124368 is 863421441.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282898 + ... + 283406.

It is an arithmetic number, because the mean of its divisors is an integer number (4951692).

Almost surely, 2144124368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144124368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198067680).

144124368 is an abundant number, since it is smaller than the sum of its proper divisors (252010992).

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

144124368 is a wasteful number, since it uses less digits than its factorization.

144124368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 878 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 144124368 is about 12005.1808816027. The cubic root of 144124368 is about 524.2991318868.

The spelling of 144124368 in words is "one hundred forty-four million, one hundred twenty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 347 408 509 694 816 1018 1041 1388 1527 2036 2082 2776 3054 4072 4164 5552 5899 6108 8144 8328 8653 11798 12216 16656 17306 17697 23596 24432 25959 34612 35394 47192 51918 69224 70788 94384 103836 138448 141576 176623 207672 283152 353246 415344 529869 706492 1059738 1412984 2119476 2825968 3002591 4238952 6005182 8477904 9007773 12010364 18015546 24020728 36031092 48041456 72062184 144124368