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14042013001 = 71216692
BaseRepresentation
bin11010001001111100…
…00001110101001001
31100020121112011120121
431010332001311021
5212224223404001
610241213023241
71004655066262
oct150476016511
940217464517
1014042013001
115a56394225
12287a784b21
13142a22ba43
14972cd1969
15572b816a1
hex344f81d49

14042013001 has 9 divisors (see below), whose sum is σ = 14251112103. Its totient is φ = 13835943240.

The previous prime is 14042012993. The next prime is 14042013067. The reversal of 14042013001 is 10031024041.

The square root of 14042013001 is 118499.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7490729401 + 6551283600 = 86549^2 + 80940^2 .

It is not a de Polignac number, because 14042013001 - 23 = 14042012993 is a prime.

It is a super-3 number, since 3×140420130013 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14042013071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8412595 + ... + 8414263.

Almost surely, 214042013001 is an apocalyptic number.

14042013001 is the 118499-th square number.

14042013001 is the 59250-th centered octagonal number.

It is an amenable number.

14042013001 is a deficient number, since it is larger than the sum of its proper divisors (209099102).

14042013001 is an frugal number, since it uses more digits than its factorization.

14042013001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Multiplying 14042013001 by its sum of digits (16), we get a square (224672208016 = 4739962).

Adding to 14042013001 its reverse (10031024041), we get a palindrome (24073037042).

The spelling of 14042013001 in words is "fourteen billion, forty-two million, thirteen thousand, one".

Divisors: 1 71 1669 5041 118499 2785561 8413429 197774831 14042013001