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144020042113 = 1576337144757
BaseRepresentation
bin1000011000100001000…
…0110111000110000001
3111202202000010011210211
42012020100313012001
54324423112321423
6150054545154121
713255644105463
oct2061020670601
9452660104724
10144020042113
11560956172a2
1223ab402b941
13107726b003c
146d834bc133
153b2db0510d
hex2188437181

144020042113 has 8 divisors (see below), whose sum is σ = 144961240232. Its totient is φ = 143079146496.

The previous prime is 144020042107. The next prime is 144020042119. The reversal of 144020042113 is 311240020441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144020042107) and next prime (144020042119).

It can be written as a sum of positive squares in 4 ways, for example, as 9853143169 + 134166898944 = 99263^2 + 366288^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144020042113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144020042119) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 922531 + ... + 1067287.

It is an arithmetic number, because the mean of its divisors is an integer number (18120155029).

Almost surely, 2144020042113 is an apocalyptic number.

It is an amenable number.

144020042113 is a deficient number, since it is larger than the sum of its proper divisors (941198119).

144020042113 is a wasteful number, since it uses less digits than its factorization.

144020042113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151251.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 144020042113 its reverse (311240020441), we get a palindrome (455260062554).

The spelling of 144020042113 in words is "one hundred forty-four billion, twenty million, forty-two thousand, one hundred thirteen".

Divisors: 1 157 6337 144757 994909 22726849 917325109 144020042113