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144131380 = 22553227599
BaseRepresentation
bin10001001011101…
…00010100110100
3101001012122002021
420211310110310
5243344201010
622145122524
73400045051
oct1045642464
9331178067
10144131380
11743a4048
1240329444
1323b25953
14151dc028
15c9c08da
hex8974534

144131380 has 48 divisors (see below), whose sum is σ = 310262400. Its totient is φ = 56221568.

The previous prime is 144131371. The next prime is 144131381. The reversal of 144131380 is 83131441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144131381) 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, 240321 + ... + 240919.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2144131380 is an apocalyptic number.

144131380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144131380 is an abundant number, since it is smaller than the sum of its proper divisors (166131020).

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

144131380 is a wasteful number, since it uses less digits than its factorization.

144131380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 144131380 is about 12005.4729186317. The cubic root of 144131380 is about 524.3076345570.

The spelling of 144131380 in words is "one hundred forty-four million, one hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 53 106 212 227 265 454 530 599 908 1060 1135 1198 2270 2396 2995 4540 5990 11980 12031 24062 31747 48124 60155 63494 120310 126988 135973 158735 240620 271946 317470 543892 634940 679865 1359730 2719460 7206569 14413138 28826276 36032845 72065690 144131380