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144042500 = 225478231
BaseRepresentation
bin10001001010111…
…10101000000100
3101001001010011102
420211132220010
5243333330000
622143155232
73366224660
oct1045365004
9331033142
10144042500
1174343298
12402a5b18
1323ac4364
14151b78a0
15c9a43d5
hex895ea04

144042500 has 60 divisors (see below), whose sum is σ = 360034752. Its totient is φ = 49380000.

The previous prime is 144042497. The next prime is 144042527. The reversal of 144042500 is 5240441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13385 + ... + 21615.

Almost surely, 2144042500 is an apocalyptic number.

144042500 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 144042500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180017376).

144042500 is an abundant number, since it is smaller than the sum of its proper divisors (215992252).

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

144042500 is an equidigital number, since it uses as much as digits as its factorization.

144042500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8262 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 144042500 is about 12001.7707026922. The cubic root of 144042500 is about 524.1998392832.

Adding to 144042500 its reverse (5240441), we get a palindrome (149282941).

The spelling of 144042500 in words is "one hundred forty-four million, forty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 625 700 875 1250 1750 2500 3500 4375 8231 8750 16462 17500 32924 41155 57617 82310 115234 164620 205775 230468 288085 411550 576170 823100 1028875 1152340 1440425 2057750 2880850 4115500 5144375 5761700 7202125 10288750 14404250 20577500 28808500 36010625 72021250 144042500