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144054460 = 225114791367
BaseRepresentation
bin10001001011000…
…01100010111100
3101001001201120101
420211201202330
5243334220320
622143330444
73366304564
oct1045414274
9331051511
10144054460
1174351280
12402b0a24
1323ac9934
14151bbda4
15c9a7c0a
hex89618bc

144054460 has 48 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 52235840.

The previous prime is 144054439. The next prime is 144054467. The reversal of 144054460 is 64450441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144054467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104697 + ... + 106063.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2144054460 is an apocalyptic number.

144054460 is a gapful number since it is divisible by the number (10) 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 144054460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

144054460 is an abundant number, since it is smaller than the sum of its proper divisors (186892100).

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

144054460 is a wasteful number, since it uses less digits than its factorization.

144054460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 144054460 is about 12002.2689521607. The cubic root of 144054460 is about 524.2143471693.

The spelling of 144054460 in words is "one hundred forty-four million, fifty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 479 958 1367 1916 2395 2734 4790 5269 5468 6835 9580 10538 13670 15037 21076 26345 27340 30074 52690 60148 75185 105380 150370 300740 654793 1309586 2619172 3273965 6547930 7202723 13095860 14405446 28810892 36013615 72027230 144054460