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14244014032001 = 1317101638144081
BaseRepresentation
bin1100111101000111000101…
…1001011000010010000001
31212102201021211101010111022
43033101301121120102001
53331333220043011001
650143335410355225
73000044642403425
oct317216131302201
955381254333438
1014244014032001
1145a1941642546
12172070358bb15
137c4287b1ac30
143735b1c84b85
1519a7bd45211b
hexcf471658481

14244014032001 has 16 divisors (see below), whose sum is σ = 16402855483728. Its totient is φ = 12252366336000.

The previous prime is 14244014031959. The next prime is 14244014032049. The reversal of 14244014032001 is 10023041044241.

It can be written as a sum of positive squares in 8 ways, for example, as 2679117513601 + 11564896518400 = 1636801^2 + 3400720^2 .

It is a cyclic number.

It is not a de Polignac number, because 14244014032001 - 238 = 13969136125057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14244014032201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319049720 + ... + 319094361.

It is an arithmetic number, because the mean of its divisors is an integer number (1025178467733).

Almost surely, 214244014032001 is an apocalyptic number.

It is an amenable number.

14244014032001 is a deficient number, since it is larger than the sum of its proper divisors (2158841451727).

14244014032001 is a wasteful number, since it uses less digits than its factorization.

14244014032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638144212.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 14244014032001 its reverse (10023041044241), we get a palindrome (24267055076242).

The spelling of 14244014032001 in words is "fourteen trillion, two hundred forty-four billion, fourteen million, thirty-two thousand, one".

Divisors: 1 13 17 101 221 1313 1717 22321 638144081 8295873053 10848449377 64452552181 141029841901 837883178353 1095693387077 14244014032001