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144115080 = 23351200959
BaseRepresentation
bin10001001011100…
…00010110001000
3101001011210201120
420211300112020
5243343140310
622144515240
73366646404
oct1045602610
9331153646
10144115080
117439287a
124031bb20
1323b1b3c5
14151d6104
15c9bab70
hex8970588

144115080 has 32 divisors (see below), whose sum is σ = 432345600. Its totient is φ = 38430656.

The previous prime is 144115073. The next prime is 144115087. The reversal of 144115080 is 80511441.

It is an interprime number because it is at equal distance from previous prime (144115073) and next prime (144115087).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 144115080.

It is not an unprimeable number, because it can be changed into a prime (144115087) 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, 600360 + ... + 600599.

It is an arithmetic number, because the mean of its divisors is an integer number (13510800).

Almost surely, 2144115080 is an apocalyptic number.

144115080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144115080 is an abundant number, since it is smaller than the sum of its proper divisors (288230520).

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

144115080 is a wasteful number, since it uses less digits than its factorization.

144115080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200973 (or 1200969 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 144115080 is about 12004.7940423816. The cubic root of 144115080 is about 524.2878689407.

It can be divided in two parts, 14411 and 5080, that added together give a palindrome (19491).

The spelling of 144115080 in words is "one hundred forty-four million, one hundred fifteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1200959 2401918 3602877 4803836 6004795 7205754 9607672 12009590 14411508 18014385 24019180 28823016 36028770 48038360 72057540 144115080