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1444101431 = 17281503601
BaseRepresentation
bin101011000010011…
…0011110100110111
310201122022221202012
41112010303310313
510424142221211
6355144034435
750533442153
oct12604636467
93648287665
101444101431
11681180863
12343762a1b
131a02500b6
14d9b12063
1586ba6d8b
hex56133d37

1444101431 has 16 divisors (see below), whose sum is σ = 1540099008. Its totient is φ = 1349376000.

The previous prime is 1444101419. The next prime is 1444101469. The reversal of 1444101431 is 1341014441.

It is a cyclic number.

It is not a de Polignac number, because 1444101431 - 230 = 370359607 is a prime.

It is a super-2 number, since 2×14441014312 = 4170857886032495522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1444101397 and 1444101406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444101481) 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, 2402531 + ... + 2403131.

It is an arithmetic number, because the mean of its divisors is an integer number (96256188).

Almost surely, 21444101431 is an apocalyptic number.

1444101431 is a deficient number, since it is larger than the sum of its proper divisors (95997577).

1444101431 is a wasteful number, since it uses less digits than its factorization.

1444101431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1444101431 is about 38001.3345949850. The cubic root of 1444101431 is about 1130.3143279374.

Adding to 1444101431 its reverse (1341014441), we get a palindrome (2785115872).

The spelling of 1444101431 in words is "one billion, four hundred forty-four million, one hundred one thousand, four hundred thirty-one".

Divisors: 1 17 281 503 601 4777 8551 10217 141343 168881 302303 2402831 2870977 5139151 84947143 1444101431