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144106992 = 2433333581
BaseRepresentation
bin10001001011011…
…10010111110000
3101001011101122000
420211232113300
5243342410432
622144414000
73366614001
oct1045562760
9331141560
10144106992
1174387797
1240317300
1323b17813
14151d31a8
15c9b857c
hex896e5f0

144106992 has 40 divisors (see below), whose sum is σ = 413641680. Its totient is φ = 48035520.

The previous prime is 144106987. The next prime is 144107021. The reversal of 144106992 is 299601441.

It is a happy number.

144106992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 166359 + ... + 167222.

It is an arithmetic number, because the mean of its divisors is an integer number (10341042).

Almost surely, 2144106992 is an apocalyptic number.

144106992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144106992 is an abundant number, since it is smaller than the sum of its proper divisors (269534688).

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

144106992 is a wasteful number, since it uses less digits than its factorization.

144106992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333598 (or 333586 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 144106992 is about 12004.4571722340. The cubic root of 144106992 is about 524.2780607615.

The spelling of 144106992 in words is "one hundred forty-four million, one hundred six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 333581 667162 1000743 1334324 2001486 2668648 3002229 4002972 5337296 6004458 8005944 9006687 12008916 16011888 18013374 24017832 36026748 48035664 72053496 144106992