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144005800 = 23521017129
BaseRepresentation
bin10001001010101…
…01101010101000
3101000222020211011
420211111222220
5243331141200
622142313304
73366012661
oct1045255250
9330866734
10144005800
1174318764
1240288834
1323ab0743
14151a8368
15c9985ba
hex8955aa8

144005800 has 48 divisors (see below), whose sum is σ = 338175900. Its totient is φ = 57024000.

The previous prime is 144005779. The next prime is 144005833. The reversal of 144005800 is 8500441.

It can be written as a sum of positive squares in 6 ways, for example, as 102454884 + 41550916 = 10122^2 + 6446^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16636 + ... + 23764.

Almost surely, 2144005800 is an apocalyptic number.

144005800 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 144005800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169087950).

144005800 is an abundant number, since it is smaller than the sum of its proper divisors (194170100).

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

144005800 is a wasteful number, since it uses less digits than its factorization.

144005800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7246 (or 7237 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 144005800 is about 12000.2416642333. The cubic root of 144005800 is about 524.1553159233.

The spelling of 144005800 in words is "one hundred forty-four million, five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 7129 10100 14258 20200 28516 35645 57032 71290 142580 178225 285160 356450 712900 720029 1425800 1440058 2880116 3600145 5760232 7200290 14400580 18000725 28801160 36001450 72002900 144005800