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123144444241 = 71319619712037
BaseRepresentation
bin111001010101111111…
…0110001100101010001
3102202212010222221002021
41302223332301211101
54004144434203431
6132323300451441
711616430335220
oct1625376614521
9382763887067
10123144444241
1148252912675
121ba489a9b81
13b7c67a3a70
145d62bcccb7
15330b07cb11
hex1cabfb1951

123144444241 has 64 divisors (see below), whose sum is σ = 163840069120. Its totient is φ = 89848258560.

The previous prime is 123144444221. The next prime is 123144444277. The reversal of 123144444241 is 142444441321.

It is a cyclic number.

It is not a de Polignac number, because 123144444241 - 215 = 123144411473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123144444197 and 123144444206.

It is not an unprimeable number, because it can be changed into a prime (123144444221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10224475 + ... + 10236511.

It is an arithmetic number, because the mean of its divisors is an integer number (2560001080).

Almost surely, 2123144444241 is an apocalyptic number.

It is an amenable number.

123144444241 is a deficient number, since it is larger than the sum of its proper divisors (40695624879).

123144444241 is a wasteful number, since it uses less digits than its factorization.

123144444241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12234.

The product of its digits is 49152, while the sum is 34.

Adding to 123144444241 its reverse (142444441321), we get a palindrome (265588885562).

The spelling of 123144444241 in words is "one hundred twenty-three billion, one hundred forty-four million, four hundred forty-four thousand, two hundred forty-one".

Divisors: 1 7 13 19 61 91 97 133 247 427 679 793 1159 1261 1729 1843 5551 5917 8113 8827 12037 12901 15067 23959 41419 76921 84259 105469 112423 156481 167713 228703 538447 734257 786961 1095367 1167589 1461499 1600921 2973139 5139799 8173123 9545341 10230493 13950883 15178657 20811973 22184191 66817387 71222929 97656181 106250599 155289337 181361479 288394483 498560503 925898077 1269530353 1353235651 2018761381 6481286539 9472649557 17592063463 123144444241