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144016915428 = 223229943114627
BaseRepresentation
bin1000011000100000010…
…0111011101111100100
3111202201210020022210200
42012020010323233210
54324421312243203
6150054354150500
713255605404001
oct2061004735744
9452653208720
10144016915428
1156093881161
1223ab2b82430
1310771b56b29
146d82d068a8
153b2d6d89a3
hex218813bbe4

144016915428 has 72 divisors (see below), whose sum is σ = 376661638080. Its totient is φ = 46342188480.

The previous prime is 144016915381. The next prime is 144016915429. The reversal of 144016915428 is 824519610441.

144016915428 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 16 + 91 + 542 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (144016915429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9838651 + ... + 9853277.

It is an arithmetic number, because the mean of its divisors is an integer number (5231411640).

Almost surely, 2144016915428 is an apocalyptic number.

144016915428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144016915428 is an abundant number, since it is smaller than the sum of its proper divisors (232644722652).

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

144016915428 is a wasteful number, since it uses less digits than its factorization.

144016915428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24097 (or 24092 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 144016915428 in words is "one hundred forty-four billion, sixteen million, nine hundred fifteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 9431 14627 18862 28293 29254 37724 43881 56586 58508 84879 87762 113172 131643 169758 175524 263286 273499 339516 424183 526572 546998 820497 848366 1093996 1272549 1640994 1696732 2461491 2545098 3281988 3817647 4922982 5090196 7635294 9845964 15270588 137947237 275894474 413841711 551788948 827683422 1241525133 1655366844 2483050266 4000469873 4966100532 8000939746 12001409619 16001879492 24002819238 36004228857 48005638476 72008457714 144016915428