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144020564367 = 3315329219023
BaseRepresentation
bin1000011000100001001…
…0110110100110001111
3111202202001002201012120
42012020102312212033
54324423231024432
6150055004304023
713255651412211
oct2061022664617
9452661081176
10144020564367
1156095943709
1223ab4242013
1310772833974
146d835b65b1
153b2dba9c2c
hex21884b698f

144020564367 has 16 divisors (see below), whose sum is σ = 201961893888. Its totient is φ = 91163348640.

The previous prime is 144020564333. The next prime is 144020564377. The reversal of 144020564367 is 763465020441.

It is a happy number.

It is not a de Polignac number, because 144020564367 - 211 = 144020562319 is a prime.

It is a super-2 number, since 2×1440205643672 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144020564377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14604583 + ... + 14614440.

It is an arithmetic number, because the mean of its divisors is an integer number (12622618368).

Almost surely, 2144020564367 is an apocalyptic number.

144020564367 is a deficient number, since it is larger than the sum of its proper divisors (57941329521).

144020564367 is a wasteful number, since it uses less digits than its factorization.

144020564367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29219110.

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 144020564367 in words is "one hundred forty-four billion, twenty million, five hundred sixty-four thousand, three hundred sixty-seven".

Divisors: 1 3 31 53 93 159 1643 4929 29219023 87657069 905789713 1548608219 2717369139 4645824657 48006854789 144020564367