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144312311400131 = 779317823225831
BaseRepresentation
bin100000110100000001010100…
…000011101100011011000011
3200220222010022002221012022002
4200310001110003230123003
5122403403103204301011
61230532054410134215
742253135415301440
oct4064012403543303
9626863262835262
10144312311400131
1141a89564631266
121422883912136b
13626a791b5c284
14278ca7888a9c7
1511a3d638d7c3b
hex8340540ec6c3

144312311400131 has 16 divisors (see below), whose sum is σ = 167542921328640. Its totient is φ = 121745221547040.

The previous prime is 144312311400109. The next prime is 144312311400137. The reversal of 144312311400131 is 131004113213441.

It is not a de Polignac number, because 144312311400131 - 26 = 144312311400067 is a prime.

It is a super-2 number, since 2×1443123114001312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144312311400094 and 144312311400103.

It is not an unprimeable number, because it can be changed into a prime (144312311400137) 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, 411437615 + ... + 411788216.

It is an arithmetic number, because the mean of its divisors is an integer number (10471432583040).

Almost surely, 2144312311400131 is an apocalyptic number.

144312311400131 is a deficient number, since it is larger than the sum of its proper divisors (23230609928509).

144312311400131 is an equidigital number, since it uses as much as digits as its factorization.

144312311400131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823226234.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 144312311400131 its reverse (131004113213441), we get a palindrome (275316424613572).

The spelling of 144312311400131 in words is "one hundred forty-four trillion, three hundred twelve billion, three hundred eleven million, four hundred thousand, one hundred thirty-one".

Divisors: 1 7 79 317 553 2219 25043 175301 823225831 5762580817 65034840649 260962588427 455243884543 1826738118989 20616044485733 144312311400131