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144005832 = 23322000081
BaseRepresentation
bin10001001010101…
…01101011001000
3101000222020212100
420211111223020
5243331141312
622142313400
73366013035
oct1045255310
9330866770
10144005832
1174318793
1240288860
1323ab0769
14151a838c
15c9985dc
hex8955ac8

144005832 has 24 divisors (see below), whose sum is σ = 390015990. Its totient is φ = 48001920.

The previous prime is 144005779. The next prime is 144005833. The reversal of 144005832 is 238500441.

It can be written as a sum of positive squares in only one way, i.e., 139570596 + 4435236 = 11814^2 + 2106^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 144005796 and 144005805.

It is not an unprimeable number, because it can be changed into a prime (144005833) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 999969 + ... + 1000112.

Almost surely, 2144005832 is an apocalyptic number.

144005832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144005832 is an abundant number, since it is smaller than the sum of its proper divisors (246010158).

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

144005832 is a wasteful number, since it uses less digits than its factorization.

144005832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000093 (or 2000086 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 144005832 is about 12000.2429975397. The cubic root of 144005832 is about 524.1553547480.

The spelling of 144005832 in words is "one hundred forty-four million, five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2000081 4000162 6000243 8000324 12000486 16000648 18000729 24000972 36001458 48001944 72002916 144005832