Search a number
-
+
14067321840 = 243451113171947
BaseRepresentation
bin11010001100111101…
…00100101111110000
31100022101010222210000
431012132210233300
5212302213244330
610243515310000
71005413156055
oct150636445760
940271128700
1014067321840
115a69700120
12288714b300
1314325506a0
149763dd02c
15574ed0560
hex3467a4bf0

14067321840 has 1600 divisors, whose sum is σ = 65335818240. Its totient is φ = 2747105280.

The previous prime is 14067321839. The next prime is 14067321869. The reversal of 14067321840 is 4812376041.

14067321840 is a `hidden beast` number, since 1 + 406 + 73 + 2 + 184 + 0 = 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 = 14067321795 and 14067321804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 299304697 + ... + 299304743.

Almost surely, 214067321840 is an apocalyptic number.

14067321840 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 14067321840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32667909120).

14067321840 is an abundant number, since it is smaller than the sum of its proper divisors (51268496400).

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

14067321840 is a wasteful number, since it uses less digits than its factorization.

14067321840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 14067321840 its reverse (4812376041), we get a palindrome (18879697881).

The spelling of 14067321840 in words is "fourteen billion, sixty-seven million, three hundred twenty-one thousand, eight hundred forty".