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144285072 = 24323130693
BaseRepresentation
bin10001001100110…
…01110110010000
3101001111102220120
420212121312100
5243414110242
622152310240
73401255121
oct1046316620
9331442816
10144285072
1174499568
12403a2380
1323b7a8a9
141523c048
15ca011ec
hex8999d90

144285072 has 40 divisors (see below), whose sum is σ = 388945344. Its totient is φ = 46003584.

The previous prime is 144285061. The next prime is 144285073. The reversal of 144285072 is 270582441.

It is not an unprimeable number, because it can be changed into a prime (144285073) 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, 64243 + ... + 66450.

Almost surely, 2144285072 is an apocalyptic number.

144285072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144285072 is an abundant number, since it is smaller than the sum of its proper divisors (244660272).

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

144285072 is a wasteful number, since it uses less digits than its factorization.

144285072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130727 (or 130721 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 144285072 is about 12011.8721271915. The cubic root of 144285072 is about 524.4939304757.

The spelling of 144285072 in words is "one hundred forty-four million, two hundred eighty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 130693 261386 392079 522772 784158 1045544 1568316 2091088 3005939 3136632 6011878 6273264 9017817 12023756 18035634 24047512 36071268 48095024 72142536 144285072