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144314200148893 is a prime number
BaseRepresentation
bin100000110100000011000100…
…101000101100101110011101
3200220222022011201221120111221
4200310003010220230232131
5122403420440214231033
61230533010040413341
742253233261350545
oct4064030450545635
9626868151846457
10144314200148893
1141a8a3437a2155
1214229085777251
13626aa032538a8
14278cbb7666325
1511a3e2462212d
hex8340c4a2cb9d

144314200148893 has 2 divisors, whose sum is σ = 144314200148894. Its totient is φ = 144314200148892.

The previous prime is 144314200148809. The next prime is 144314200148929. The reversal of 144314200148893 is 398841002413441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135453588233209 + 8860611915684 = 11638453^2 + 2976678^2 .

It is a cyclic number.

It is not a de Polignac number, because 144314200148893 - 233 = 144305610214301 is a prime.

It is a super-2 number, since 2×1443142001488932 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144314200148893.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144314200140893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72157100074446 + 72157100074447.

It is an arithmetic number, because the mean of its divisors is an integer number (72157100074447).

Almost surely, 2144314200148893 is an apocalyptic number.

It is an amenable number.

144314200148893 is a deficient number, since it is larger than the sum of its proper divisors (1).

144314200148893 is an equidigital number, since it uses as much as digits as its factorization.

144314200148893 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2654208, while the sum is 52.

The spelling of 144314200148893 in words is "one hundred forty-four trillion, three hundred fourteen billion, two hundred million, one hundred forty-eight thousand, eight hundred ninety-three".