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144928674 = 232111734231
BaseRepresentation
bin10001010001101…
…10111110100010
3101002201010202200
420220312332202
5244100204144
622214154030
73406605402
oct1050667642
9332633680
10144928674
1174899070
1240652916
1324044817
1415368802
15cacbc69
hex8a36fa2

144928674 has 48 divisors (see below), whose sum is σ = 344620224. Its totient is φ = 43653600.

The previous prime is 144928661. The next prime is 144928687. The reversal of 144928674 is 476829441.

144928674 is a `hidden beast` number, since 14 + 492 + 86 + 74 = 666.

144928674 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144928661) and next prime (144928687).

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, 32139 + ... + 36369.

It is an arithmetic number, because the mean of its divisors is an integer number (7179588).

Almost surely, 2144928674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144928674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172310112).

144928674 is an abundant number, since it is smaller than the sum of its proper divisors (199691550).

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

144928674 is a wasteful number, since it uses less digits than its factorization.

144928674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423 (or 4420 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 144928674 is about 12038.6325635431. The cubic root of 144928674 is about 525.2726311879.

The spelling of 144928674 in words is "one hundred forty-four million, nine hundred twenty-eight thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 173 198 346 519 1038 1557 1903 3114 3806 4231 5709 8462 11418 12693 17127 25386 34254 38079 46541 76158 93082 139623 279246 418869 731963 837738 1463926 2195889 4391778 6587667 8051593 13175334 16103186 24154779 48309558 72464337 144928674