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14380212492 = 22325311036833
BaseRepresentation
bin11010110010010000…
…01010000100001100
31101010011220111001200
431121020022010030
5213422313244432
610334533505500
71016232534522
oct153110120414
941104814050
1014380212492
11610a289538
122953aa2290
131482312999
149a5baa312
155926d8a7c
hex35920a10c

14380212492 has 72 divisors (see below), whose sum is σ = 37074832704. Its totient is φ = 4698011136.

The previous prime is 14380212487. The next prime is 14380212499. The reversal of 14380212492 is 29421208341.

14380212492 is a `hidden beast` number, since 1 + 438 + 0 + 212 + 4 + 9 + 2 = 666.

It is a super-2 number, since 2×143802124922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14380212499) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2101108 + ... + 2107940.

It is an arithmetic number, because the mean of its divisors is an integer number (514928232).

Almost surely, 214380212492 is an apocalyptic number.

14380212492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14380212492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18537416352).

14380212492 is an abundant number, since it is smaller than the sum of its proper divisors (22694620212).

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

14380212492 is a wasteful number, since it uses less digits than its factorization.

14380212492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7999 (or 7994 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14380212492 in words is "fourteen billion, three hundred eighty million, two hundred twelve thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1103 1908 2206 3309 4412 6618 6833 9927 13236 13666 19854 20499 27332 39708 40998 58459 61497 81996 116918 122994 175377 233836 245988 350754 362149 526131 701508 724298 1052262 1086447 1448596 2104524 2172894 3259341 4345788 6518682 7536799 13037364 15073598 22610397 30147196 45220794 67831191 90441588 135662382 271324764 399450347 798900694 1198351041 1597801388 2396702082 3595053123 4793404164 7190106246 14380212492