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1444060631 = 131731415397
BaseRepresentation
bin101011000010010…
…1001110111010111
310201122020212210002
41112010221313113
510424134420011
6355143121515
750533212206
oct12604516727
93648225702
101444060631
11681153142
1234374329b
131a0237660
14d9b0123d
1586b99c3b
hex56129dd7

1444060631 has 64 divisors (see below), whose sum is σ = 1792336896. Its totient is φ = 1150156800.

The previous prime is 1444060621. The next prime is 1444060637. The reversal of 1444060631 is 1360604441.

It is not a de Polignac number, because 1444060631 - 26 = 1444060567 is a prime.

It is a super-2 number, since 2×14440606312 = 4170622212008236322, 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 = 1444060594 and 1444060603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444060637) 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 63 ways as a sum of consecutive naturals, for example, 14887175 + ... + 14887271.

It is an arithmetic number, because the mean of its divisors is an integer number (28005264).

Almost surely, 21444060631 is an apocalyptic number.

1444060631 is a deficient number, since it is larger than the sum of its proper divisors (348276265).

1444060631 is a wasteful number, since it uses less digits than its factorization.

1444060631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252.

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 1444060631 is about 38000.7977679417. The cubic root of 1444060631 is about 1130.3036829652.

The spelling of 1444060631 in words is "one billion, four hundred forty-four million, sixty thousand, six hundred thirty-one".

Divisors: 1 13 17 31 41 53 97 221 403 527 533 689 697 901 1261 1271 1643 1649 2173 3007 3977 5141 6851 9061 11713 16523 21359 21437 21607 27931 28249 36941 39091 51119 51701 66833 67363 67609 87397 123287 159371 210781 280891 363103 480233 664547 875719 878917 1136161 1145171 1602731 2071823 2095879 2709307 2740153 3583277 6534211 14887223 27246427 35220991 46582601 84944743 111081587 1444060631