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144064100 = 22521440641
BaseRepresentation
bin10001001011000…
…11111001100100
3101001002012210102
420211203321210
5243340022400
622143443232
73366344645
oct1045437144
9331065712
10144064100
1174358544
12402b6518
1323b0113b
14151c16cc
15c9aa9d5
hex8963e64

144064100 has 18 divisors (see below), whose sum is σ = 312619314. Its totient is φ = 57625600.

The previous prime is 144064097. The next prime is 144064159. The reversal of 144064100 is 1460441.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 256036 + 143808064 = 506^2 + 11992^2 .

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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 720221 + ... + 720420.

Almost surely, 2144064100 is an apocalyptic number.

144064100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144064100 is an abundant number, since it is smaller than the sum of its proper divisors (168555214).

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

144064100 is a wasteful number, since it uses less digits than its factorization.

144064100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440655 (or 1440648 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 144064100 is about 12002.6705361765. The cubic root of 144064100 is about 524.2260402322.

The spelling of 144064100 in words is "one hundred forty-four million, sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1440641 2881282 5762564 7203205 14406410 28812820 36016025 72032050 144064100