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144855424 = 277269601
BaseRepresentation
bin10001010001001…
…01000110000000
3101002120102021201
420220211012000
5244040333144
622212430544
73406152010
oct1050450600
9332512251
10144855424
117484902a
1240618454
132401a38c
1415349c40
15cab51d4
hex8a25180

144855424 has 64 divisors (see below), whose sum is σ = 331581600. Its totient is φ = 61747200.

The previous prime is 144855397. The next prime is 144855437. The reversal of 144855424 is 424558441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 240724 + ... + 241324.

Almost surely, 2144855424 is an apocalyptic number.

144855424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144855424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165790800).

144855424 is an abundant number, since it is smaller than the sum of its proper divisors (186726176).

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

144855424 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (144855423) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (891).

144855424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 879 counting only the distinct ones).

The product of its digits is 102400, while the sum is 37.

The square root of 144855424 is about 12035.5898899888. The cubic root of 144855424 is about 525.1841216629.

The spelling of 144855424 in words is "one hundred forty-four million, eight hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 269 448 538 601 896 1076 1202 1883 2152 2404 3766 4207 4304 4808 7532 8414 8608 9616 15064 16828 17216 19232 30128 33656 34432 38464 60256 67312 76928 120512 134624 161669 241024 269248 323338 538496 646676 1131683 1293352 2263366 2586704 4526732 5173408 9053464 10346816 18106928 20693632 36213856 72427712 144855424