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144151140 = 22357249031
BaseRepresentation
bin10001001011110…
…01001001100100
3101001020122012010
420211321021210
5243400314030
622145354220
73400156500
oct1045711144
9331218163
10144151140
1174407981
1240338970
1323b31943
1415205300
15c9c66b0
hex8979264

144151140 has 72 divisors (see below), whose sum is σ = 469530432. Its totient is φ = 32948160.

The previous prime is 144151123. The next prime is 144151151. The reversal of 144151140 is 41151441.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21576 + ... + 27455.

It is an arithmetic number, because the mean of its divisors is an integer number (6521256).

Almost surely, 2144151140 is an apocalyptic number.

144151140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144151140 is an abundant number, since it is smaller than the sum of its proper divisors (325379292).

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

144151140 is a wasteful number, since it uses less digits than its factorization.

144151140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49057 (or 49048 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 144151140 is about 12006.2958484289. The cubic root of 144151140 is about 524.3315938212.

The spelling of 144151140 in words is "one hundred forty-four million, one hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 49031 98062 147093 196124 245155 294186 343217 490310 588372 686434 735465 980620 1029651 1372868 1470930 1716085 2059302 2402519 2941860 3432170 4118604 4805038 5148255 6864340 7207557 9610076 10296510 12012595 14415114 20593020 24025190 28830228 36037785 48050380 72075570 144151140