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144431432431 = 11132343913479
BaseRepresentation
bin1000011010000011001…
…0001100001011101111
3111210210200012222020021
42012200302030023233
54331243421314211
6150203442503011
713302100630246
oct2064062141357
9453720188207
10144431432431
11562868619a0
1223ba9964a67
13108099abc70
146dc1da995d
153b54cb8771
hex21a0c8c2ef

144431432431 has 16 divisors (see below), whose sum is σ = 177059151360. Its totient is φ = 115931581920.

The previous prime is 144431432401. The next prime is 144431432449. The reversal of 144431432431 is 134234134441.

It is not a de Polignac number, because 144431432431 - 213 = 144431424239 is a prime.

It is a super-2 number, since 2×1444314324312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144431432401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21953451 + ... + 21960028.

It is an arithmetic number, because the mean of its divisors is an integer number (11066196960).

Almost surely, 2144431432431 is an apocalyptic number.

144431432431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

144431432431 is a deficient number, since it is larger than the sum of its proper divisors (32627718929).

144431432431 is a wasteful number, since it uses less digits than its factorization.

144431432431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43913526.

The product of its digits is 55296, while the sum is 34.

Adding to 144431432431 its reverse (134234134441), we get a palindrome (278665566872).

The spelling of 144431432431 in words is "one hundred forty-four billion, four hundred thirty-one million, four hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 11 13 23 143 253 299 3289 43913479 483048269 570875227 1010010017 6279627497 11110110187 13130130221 144431432431