Search a number
-
+
1381514112 = 27321131753
BaseRepresentation
bin101001001011000…
…0011101110000000
310120021120012002100
41102112003232000
510312131422422
6345030350400
746143450636
oct12226035600
93507505070
101381514112
11649913000
123267bb400
131902a8594
14d169d356
15814427ac
hex52583b80

1381514112 has 384 divisors, whose sum is σ = 4717271520. Its totient is φ = 386580480.

The previous prime is 1381514089. The next prime is 1381514117. The reversal of 1381514112 is 2114151831.

1381514112 is a `hidden beast` number, since 1 + 38 + 1 + 514 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381514117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26066278 + ... + 26066330.

Almost surely, 21381514112 is an apocalyptic number.

1381514112 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 1381514112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358635760).

1381514112 is an abundant number, since it is smaller than the sum of its proper divisors (3335757408).

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

1381514112 is a wasteful number, since it uses less digits than its factorization.

1381514112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 86 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The square root of 1381514112 is about 37168.7249175971. The cubic root of 1381514112 is about 1113.7433104308.

Adding to 1381514112 its reverse (2114151831), we get a palindrome (3495665943).

The spelling of 1381514112 in words is "one billion, three hundred eighty-one million, five hundred fourteen thousand, one hundred twelve".