Search a number
-
+
13354066944 = 210376789
BaseRepresentation
bin11000110111111011…
…01110010000000000
31021110200000220000000
430123331232100000
5204322120120234
610045040000000
7651632460531
oct143375562000
937420026000
1013354066944
115733028169
122708300000
13134a85007a
149097b4688
15532590899
hex31bf6e400

13354066944 has 352 divisors, whose sum is σ = 41090659200. Its totient is φ = 4335648768.

The previous prime is 13354066889. The next prime is 13354066949. The reversal of 13354066944 is 44966045331.

13354066944 is a `hidden beast` number, since 1 + 3 + 3 + 540 + 6 + 69 + 44 = 666.

It is a super-2 number, since 2×133540669442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13354066944.

It is not an unprimeable number, because it can be changed into a prime (13354066949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150045652 + ... + 150045740.

Almost surely, 213354066944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13354066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20545329600).

13354066944 is an abundant number, since it is smaller than the sum of its proper divisors (27736592256).

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

13354066944 is an frugal number, since it uses more digits than its factorization.

13354066944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 13354066944 in words is "thirteen billion, three hundred fifty-four million, sixty-six thousand, nine hundred forty-four".