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144131700 = 223524311173
BaseRepresentation
bin10001001011101…
…00011001110100
3101001012122112010
420211310121310
5243344203300
622145124220
73400046016
oct1045643164
9331178463
10144131700
11743a4309
1240329670
1323b25b3b
14151dc1b6
15c9c0a50
hex8974674

144131700 has 72 divisors (see below), whose sum is σ = 426757408. Its totient is φ = 37537920.

The previous prime is 144131693. The next prime is 144131759. The reversal of 144131700 is 7131441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7314 + ... + 18486.

Almost surely, 2144131700 is an apocalyptic number.

144131700 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 144131700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213378704).

144131700 is an abundant number, since it is smaller than the sum of its proper divisors (282625708).

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

144131700 is a wasteful number, since it uses less digits than its factorization.

144131700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11233 (or 11226 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 144131700 is about 12005.4862458794. The cubic root of 144131700 is about 524.3080225787.

The spelling of 144131700 in words is "one hundred forty-four million, one hundred thirty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 11173 12900 22346 33519 44692 55865 67038 111730 134076 167595 223460 279325 335190 480439 558650 670380 837975 960878 1117300 1441317 1675950 1921756 2402195 2882634 3351900 4804390 5765268 7206585 9608780 12010975 14413170 24021950 28826340 36032925 48043900 72065850 144131700