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144442002024 = 23322006138917
BaseRepresentation
bin1000011010000101101…
…0100000101001101000
3111210211102002221222200
42012201122200221220
54331304123031044
6150204501220200
713302256521345
oct2064132405150
9453742087880
10144442002024
1156291820aa1
1223bb1401660
131080bc3cb68
146dc355b7cc
153b55ba5369
hex21a16a0a68

144442002024 has 24 divisors (see below), whose sum is σ = 391197089010. Its totient is φ = 48147333984.

The previous prime is 144442002013. The next prime is 144442002043. The reversal of 144442002024 is 420200244441.

144442002024 is a `hidden beast` number, since 14 + 4 + 442 + 0 + 0 + 202 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110629412100 + 33812589924 = 332610^2 + 183882^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1003069387 + ... + 1003069530.

Almost surely, 2144442002024 is an apocalyptic number.

It is an amenable number.

144442002024 is an abundant number, since it is smaller than the sum of its proper divisors (246755086986).

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

144442002024 is a wasteful number, since it uses less digits than its factorization.

144442002024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006138929 (or 2006138922 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 144442002024 its reverse (420200244441), we get a palindrome (564642246465).

The spelling of 144442002024 in words is "one hundred forty-four billion, four hundred forty-two million, two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2006138917 4012277834 6018416751 8024555668 12036833502 16049111336 18055250253 24073667004 36110500506 48147334008 72221001012 144442002024