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144485088 = 25311612243
BaseRepresentation
bin10001001110010…
…10101011100000
3101001212121021120
420213022223200
5243442010323
622200452240
73403050216
oct1047125340
9331777246
10144485088
1174615870
124047a080
1323c1a947
1415290cb6
15ca405e3
hex89caae0

144485088 has 96 divisors (see below), whose sum is σ = 420723072. Its totient is φ = 43046400.

The previous prime is 144485083. The next prime is 144485129. The reversal of 144485088 is 880584441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144485083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63295 + ... + 65537.

It is an arithmetic number, because the mean of its divisors is an integer number (4382532).

Almost surely, 2144485088 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 144485088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210361536).

144485088 is an abundant number, since it is smaller than the sum of its proper divisors (276237984).

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

144485088 is a wasteful number, since it uses less digits than its factorization.

144485088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The square root of 144485088 is about 12020.1950067376. The cubic root of 144485088 is about 524.7361794665.

The spelling of 144485088 in words is "one hundred forty-four million, four hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 66 88 96 122 132 176 183 244 264 352 366 488 528 671 732 976 1056 1342 1464 1952 2013 2243 2684 2928 4026 4486 5368 5856 6729 8052 8972 10736 13458 16104 17944 21472 24673 26916 32208 35888 49346 53832 64416 71776 74019 98692 107664 136823 148038 197384 215328 273646 296076 394768 410469 547292 592152 789536 820938 1094584 1184304 1505053 1641876 2189168 2368608 3010106 3283752 4378336 4515159 6020212 6567504 9030318 12040424 13135008 18060636 24080848 36121272 48161696 72242544 144485088