Search a number
-
+
14111547840 = 263451341879
BaseRepresentation
bin11010010010001110…
…10010000111000000
31100102110100220110000
431021013102013000
5212400024012330
610252135240000
71006461114615
oct151107220700
940373326400
1014111547840
115a91667835
122899b19000
13143b766910
1497c23250c
15578d19560
hex3491d21c0

14111547840 has 280 divisors, whose sum is σ = 54059876640. Its totient is φ = 3473528832.

The previous prime is 14111547829. The next prime is 14111547859. The reversal of 14111547840 is 4874511141.

It is a happy number.

14111547840 is a `hidden beast` number, since 141 + 1 + 1 + 5 + 478 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14111547795 and 14111547804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 316021 + ... + 357899.

It is an arithmetic number, because the mean of its divisors is an integer number (193070988).

Almost surely, 214111547840 is an apocalyptic number.

14111547840 is a gapful number since it is divisible by the number (10) 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 14111547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27029938320).

14111547840 is an abundant number, since it is smaller than the sum of its proper divisors (39948328800).

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

14111547840 is a wasteful number, since it uses less digits than its factorization.

14111547840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41921 (or 41902 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 14111547840 in words is "fourteen billion, one hundred eleven million, five hundred forty-seven thousand, eight hundred forty".