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144351460 = 225111673929
BaseRepresentation
bin10001001101010…
…10000011100100
3101001121210222101
420212222003210
5243423221320
622153541444
73401652511
oct1046520344
9331553871
10144351460
1174534430
1240414884
1323ba1b86
1415258308
15ca15c0a
hex89aa0e4

144351460 has 48 divisors (see below), whose sum is σ = 332760960. Its totient is φ = 52163840.

The previous prime is 144351457. The next prime is 144351461. The reversal of 144351460 is 64153441.

It is not an unprimeable number, because it can be changed into a prime (144351461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34776 + ... + 38704.

It is an arithmetic number, because the mean of its divisors is an integer number (6932520).

Almost surely, 2144351460 is an apocalyptic number.

144351460 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 144351460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166380480).

144351460 is an abundant number, since it is smaller than the sum of its proper divisors (188409500).

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

144351460 is a wasteful number, since it uses less digits than its factorization.

144351460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 144351460 is about 12014.6352420704. The cubic root of 144351460 is about 524.5743609815.

The spelling of 144351460 in words is "one hundred forty-four million, three hundred fifty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 668 835 1670 1837 3340 3674 3929 7348 7858 9185 15716 18370 19645 36740 39290 43219 78580 86438 172876 216095 432190 656143 864380 1312286 2624572 3280715 6561430 7217573 13122860 14435146 28870292 36087865 72175730 144351460