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144331700 = 225217591439
BaseRepresentation
bin10001001101001…
…01001110110100
3101001120210212112
420212211032310
5243422103300
622153310152
73401541062
oct1046451664
9331523775
10144331700
11745205a7
1240405358
1323b95b96
1415251032
15ca0ee35
hex89a53b4

144331700 has 72 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 53378560.

The previous prime is 144331687. The next prime is 144331721. The reversal of 144331700 is 7133441.

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, 99581 + ... + 101019.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2144331700 is an apocalyptic number.

144331700 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 144331700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

144331700 is an abundant number, since it is smaller than the sum of its proper divisors (193146700).

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

144331700 is a wasteful number, since it uses less digits than its factorization.

144331700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 144331700 is about 12013.8128835104. The cubic root of 144331700 is about 524.5504238899.

The spelling of 144331700 in words is "one hundred forty-four million, three hundred thirty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 59 68 85 100 118 170 236 295 340 425 590 850 1003 1180 1439 1475 1700 2006 2878 2950 4012 5015 5756 5900 7195 10030 14390 20060 24463 25075 28780 35975 48926 50150 71950 84901 97852 100300 122315 143900 169802 244630 339604 424505 489260 611575 849010 1223150 1443317 1698020 2122525 2446300 2886634 4245050 5773268 7216585 8490100 14433170 28866340 36082925 72165850 144331700