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144043222244013 = 3237298773118361
BaseRepresentation
bin100000110000000110101101…
…000110000001101010101101
3200220000101201211012201211200
4200300012231012001222231
5122340001004343302023
61230204313123440113
742224531220226341
oct4060065506015255
9626011654181750
10144043222244013
1141995429837534
12141a465b826039
13624b2aa017b41
14277da2cb33621
15119bd64cc2743
hex8301ad181aad

144043222244013 has 36 divisors (see below), whose sum is σ = 213841694046708. Its totient is φ = 93431706128640.

The previous prime is 144043222243937. The next prime is 144043222244039. The reversal of 144043222244013 is 310442222340441.

144043222244013 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 4 + 3 + 22 + 224 + 401 + 3 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 94688410255209 + 49354811988804 = 9730797^2 + 7025298^2 .

It is not a de Polignac number, because 144043222244013 - 217 = 144043222112941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144043222249013) 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 35 ways as a sum of consecutive naturals, for example, 1216922953 + ... + 1217041313.

It is an arithmetic number, because the mean of its divisors is an integer number (5940047056853).

Almost surely, 2144043222244013 is an apocalyptic number.

It is an amenable number.

144043222244013 is a deficient number, since it is larger than the sum of its proper divisors (69798471802695).

144043222244013 is a wasteful number, since it uses less digits than its factorization.

144043222244013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217214 (or 217174 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 144043222244013 its reverse (310442222340441), we get a palindrome (454485444584454).

The spelling of 144043222244013 in words is "one hundred forty-four trillion, forty-three billion, two hundred twenty-two million, two hundred forty-four thousand, thirteen".

Divisors: 1 3 9 37 111 333 1369 4107 12321 98773 118361 296319 355083 888957 1065249 3654601 4379357 10963803 13138071 32891409 39414213 135220237 162036209 405660711 486108627 1216982133 1458325881 11690871053 35072613159 105217839477 432562228961 1297686686883 3893060060649 16004802471557 48014407414671 144043222244013