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144131212401 = 31137118043581
BaseRepresentation
bin1000011000111011100…
…0111100010001110001
3111210000202022012202220
42012032320330101301
54330140042244101
6150114000031253
713261464043221
oct2061670742161
9453022265686
10144131212401
1156142348170
1223b25302529
131078c734c87
146d9417a081
153b38764636
hex218ee3c471

144131212401 has 16 divisors (see below), whose sum is σ = 215311493568. Its totient is φ = 84991377600.

The previous prime is 144131212391. The next prime is 144131212411. The reversal of 144131212401 is 104212131441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144131212391) and next prime (144131212411).

It is not a de Polignac number, because 144131212401 - 217 = 144131081329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144131212411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59020570 + ... + 59023011.

It is an arithmetic number, because the mean of its divisors is an integer number (13456968348).

Almost surely, 2144131212401 is an apocalyptic number.

144131212401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144131212401 is a deficient number, since it is larger than the sum of its proper divisors (71180281167).

144131212401 is a wasteful number, since it uses less digits than its factorization.

144131212401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118043632.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 144131212401 its reverse (104212131441), we get a palindrome (248343343842).

The spelling of 144131212401 in words is "one hundred forty-four billion, one hundred thirty-one million, two hundred twelve thousand, four hundred one".

Divisors: 1 3 11 33 37 111 407 1221 118043581 354130743 1298479391 3895438173 4367612497 13102837491 48043737467 144131212401