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144146688 = 283726813
BaseRepresentation
bin10001001011110…
…00000100000000
3101001020102002020
420211320010000
5243400143223
622145321440
73400140510
oct1045700400
9331212066
10144146688
11744045a4
1240336280
1323b2c8ca
1415203840
15c9c51e3
hex8978100

144146688 has 72 divisors (see below), whose sum is σ = 438462528. Its totient is φ = 41183232.

The previous prime is 144146677. The next prime is 144146701. The reversal of 144146688 is 886641441.

It is a super-2 number, since 2×1441466882 = 41556535322738688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8031 + ... + 18782.

Almost surely, 2144146688 is an apocalyptic number.

It is an amenable number.

144146688 is an abundant number, since it is smaller than the sum of its proper divisors (294315840).

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

144146688 is an equidigital number, since it uses as much as digits as its factorization.

144146688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26839 (or 26825 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 144146688 is about 12006.1104442696. The cubic root of 144146688 is about 524.3261959027.

The spelling of 144146688 in words is "one hundred forty-four million, one hundred forty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 26813 53626 80439 107252 160878 187691 214504 321756 375382 429008 563073 643512 750764 858016 1126146 1287024 1501528 1716032 2252292 2574048 3003056 3432064 4504584 5148096 6006112 6864128 9009168 10296192 12012224 18018336 20592384 24024448 36036672 48048896 72073344 144146688