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144075008 = 287117309
BaseRepresentation
bin10001001011001…
…10100100000000
3101001002202202102
420211212210000
5243340400013
622144005532
73366421520
oct1045464400
9331082672
10144075008
1174365760
12403008a8
1323b060ac
14151c5680
15c9add58
hex8966900

144075008 has 72 divisors (see below), whose sum is σ = 358599360. Its totient is φ = 56125440.

The previous prime is 144075007. The next prime is 144075049. The reversal of 144075008 is 800570441.

It is not an unprimeable number, because it can be changed into a prime (144075007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16058 + ... + 23366.

Almost surely, 2144075008 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 144075008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179299680).

144075008 is an abundant number, since it is smaller than the sum of its proper divisors (214524352).

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

144075008 is an equidigital number, since it uses as much as digits as its factorization.

144075008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7343 (or 7329 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 144075008 is about 12003.1249264514. The cubic root of 144075008 is about 524.2392707162.

The spelling of 144075008 in words is "one hundred forty-four million, seventy-five thousand, eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 4928 7309 9856 14618 19712 29236 51163 58472 80399 102326 116944 160798 204652 233888 321596 409304 467776 562793 643192 818608 935552 1125586 1286384 1637216 1871104 2251172 2572768 3274432 4502344 5145536 6548864 9004688 10291072 13097728 18009376 20582144 36018752 72037504 144075008