Search a number
-
+
14085466464 = 2531011452709
BaseRepresentation
bin11010001111000111…
…10010100101100000
31100100122021211112010
431013203302211200
5212321334411324
610245404232520
71006023326616
oct150743624540
940318254463
1014085466464
115a78973483
12289123b740
131436234454
149789a36b6
155768b6829
hex3478f2960

14085466464 has 48 divisors (see below), whose sum is σ = 37340457840. Its totient is φ = 4648665600.

The previous prime is 14085466463. The next prime is 14085466513. The reversal of 14085466464 is 46466458041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14085466463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 716659 + ... + 736050.

It is an arithmetic number, because the mean of its divisors is an integer number (777926205).

Almost surely, 214085466464 is an apocalyptic number.

It is an amenable number.

14085466464 is an abundant number, since it is smaller than the sum of its proper divisors (23254991376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14085466464 is a wasteful number, since it uses less digits than its factorization.

14085466464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452823 (or 1452815 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 14085466464 in words is "fourteen billion, eighty-five million, four hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 1452709 2905418 4358127 5810836 8716254 11621672 17432508 23243344 34865016 46486688 69730032 139460064 146723609 293447218 440170827 586894436 880341654 1173788872 1760683308 2347577744 3521366616 4695155488 7042733232 14085466464