Search a number
-
+
144140900 = 225237163239
BaseRepresentation
bin10001001011101…
…10101001100100
3101001020010010212
420211312221210
5243400002100
622145234552
73400114601
oct1045665144
9331203125
10144140900
1174400212
1240332a58
1323b2a097
14152016a8
15c9c3635
hex8976a64

144140900 has 72 divisors (see below), whose sum is σ = 324562560. Its totient is φ = 55520640.

The previous prime is 144140891. The next prime is 144140903. The reversal of 144140900 is 9041441.

It is not an unprimeable number, because it can be changed into a prime (144140903) by changing a digit.

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, 602981 + ... + 603219.

Almost surely, 2144140900 is an apocalyptic number.

144140900 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 144140900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162281280).

144140900 is an abundant number, since it is smaller than the sum of its proper divisors (180421660).

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

144140900 is a wasteful number, since it uses less digits than its factorization.

144140900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 144140900 is about 12005.8693979237. The cubic root of 144140900 is about 524.3191779576.

The spelling of 144140900 in words is "one hundred forty-four million, one hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 163 185 239 326 370 478 652 740 815 925 956 1195 1630 1850 2390 3260 3700 4075 4780 5975 6031 8150 8843 11950 12062 16300 17686 23900 24124 30155 35372 38957 44215 60310 77914 88430 120620 150775 155828 176860 194785 221075 301550 389570 442150 603100 779140 884300 973925 1441409 1947850 2882818 3895700 5765636 7207045 14414090 28828180 36035225 72070450 144140900