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144060132 = 22323975381
BaseRepresentation
bin10001001011000…
…10111011100100
3101001002000100110
420211202323210
5243334411012
622143413020
73366330246
oct1045427344
9331060313
10144060132
1174355567
12402b4170
1323acc3a8
14151c0096
15c9a973c
hex8962ee4

144060132 has 48 divisors (see below), whose sum is σ = 354436992. Its totient is φ = 45450240.

The previous prime is 144060127. The next prime is 144060143. The reversal of 144060132 is 231060441.

It is a junction number, because it is equal to n+sod(n) for n = 144060099 and 144060108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24082 + ... + 29462.

It is an arithmetic number, because the mean of its divisors is an integer number (7384104).

Almost surely, 2144060132 is an apocalyptic number.

144060132 is a gapful number since it is divisible by the number (12) 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 144060132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177218496).

144060132 is an abundant number, since it is smaller than the sum of its proper divisors (210376860).

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

144060132 is a wasteful number, since it uses less digits than its factorization.

144060132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5508 (or 5506 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 144060132 is about 12002.5052384908. The cubic root of 144060132 is about 524.2212272172.

The spelling of 144060132 in words is "one hundred forty-four million, sixty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 97 138 194 276 291 388 582 1164 2231 4462 5381 6693 8924 10762 13386 16143 21524 26772 32286 64572 123763 247526 371289 495052 521957 742578 1043914 1485156 1565871 2087828 3131742 6263484 12005011 24010022 36015033 48020044 72030066 144060132