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144096100 = 22521440961
BaseRepresentation
bin10001001011010…
…11101101100100
3101001010211200121
420211223231210
5243342033400
622144251324
73366540151
oct1045535544
9331124617
10144096100
117437a595
1240310b44
1323b12885
14151cd228
15c9b521a
hex896bb64

144096100 has 18 divisors (see below), whose sum is σ = 312688754. Its totient is φ = 57638400.

The previous prime is 144096083. The next prime is 144096101. The reversal of 144096100 is 1690441.

144096100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 48330304 + 95765796 = 6952^2 + 9786^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (144096101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 720381 + ... + 720580.

Almost surely, 2144096100 is an apocalyptic number.

144096100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144096100 is an abundant number, since it is smaller than the sum of its proper divisors (168592654).

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

144096100 is a wasteful number, since it uses less digits than its factorization.

144096100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440975 (or 1440968 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 144096100 is about 12004.0034988332. The cubic root of 144096100 is about 524.2648516395.

The spelling of 144096100 in words is "one hundred forty-four million, ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1440961 2881922 5763844 7204805 14409610 28819220 36024025 72048050 144096100