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144117337201 = 3134334992131
BaseRepresentation
bin1000011000111000010…
…0000000110001110001
3111202222210012021120121
42012032010000301301
54330123014242301
6150112342410241
713261235103565
oct2061604006161
9452883167517
10144117337201
1156135530562
1223b20730981
13107898b75b6
146d923a76a5
153b374233a1
hex218e100c71

144117337201 has 16 divisors (see below), whose sum is σ = 145270216000. Its totient is φ = 142970780160.

The previous prime is 144117337187. The next prime is 144117337249. The reversal of 144117337201 is 102733711441.

It is a cyclic number.

It is not a de Polignac number, because 144117337201 - 27 = 144117337073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144117337291) 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 15 ways as a sum of consecutive naturals, for example, 67627906 + ... + 67630036.

It is an arithmetic number, because the mean of its divisors is an integer number (9079388500).

Almost surely, 2144117337201 is an apocalyptic number.

It is an amenable number.

144117337201 is a deficient number, since it is larger than the sum of its proper divisors (1152878799).

144117337201 is a wasteful number, since it uses less digits than its factorization.

144117337201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376.

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 144117337201 in words is "one hundred forty-four billion, one hundred seventeen million, three hundred thirty-seven thousand, two hundred one".

Divisors: 1 313 433 499 2131 135529 156187 216067 667003 922723 1063369 67628971 288812299 332834497 460438777 144117337201