Search a number
-
+
144100034120429 is a prime number
BaseRepresentation
bin100000110000111011100111…
…010110001000101011101101
3200220012211101010210002012122
4200300323213112020223231
5122341413332213323204
61230250350343242325
742231612115220162
oct4060734726105355
9626184333702178
10144100034120429
1141a07532643112
12141b3675a493a5
13625376210416a
14278269c010069
15119d58c6c10be
hex830ee7588aed

144100034120429 has 2 divisors, whose sum is σ = 144100034120430. Its totient is φ = 144100034120428.

The previous prime is 144100034120407. The next prime is 144100034120473. The reversal of 144100034120429 is 924021430001441.

144100034120429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83806206812329 + 60293827308100 = 9154573^2 + 7764910^2 .

It is an emirp because it is prime and its reverse (924021430001441) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 144100034120429 - 212 = 144100034116333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144100034126429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72050017060214 + 72050017060215.

It is an arithmetic number, because the mean of its divisors is an integer number (72050017060215).

Almost surely, 2144100034120429 is an apocalyptic number.

It is an amenable number.

144100034120429 is a deficient number, since it is larger than the sum of its proper divisors (1).

144100034120429 is an equidigital number, since it uses as much as digits as its factorization.

144100034120429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 144100034120429 in words is "one hundred forty-four trillion, one hundred billion, thirty-four million, one hundred twenty thousand, four hundred twenty-nine".