Search a number
-
+
11409734700 = 223252713139313
BaseRepresentation
bin10101010000001001…
…01011110000101100
31002110011102120120200
422220010223300230
5141331343002300
65124102113500
7552513100440
oct125004536054
932404376520
1011409734700
114925552611
12226511b890
1310caa96b10
147a348a820
1546ba27200
hex2a812bc2c

11409734700 has 216 divisors, whose sum is σ = 44016536928. Its totient is φ = 2407311360.

The previous prime is 11409734663. The next prime is 11409734717. The reversal of 11409734700 is 743790411.

11409734700 is a `hidden beast` number, since 114 + 0 + 9 + 73 + 470 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12244 + ... + 151556.

Almost surely, 211409734700 is an apocalyptic number.

11409734700 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 11409734700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22008268464).

11409734700 is an abundant number, since it is smaller than the sum of its proper divisors (32606802228).

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

11409734700 is a wasteful number, since it uses less digits than its factorization.

11409734700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139353 (or 139343 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 11409734700 in words is "eleven billion, four hundred nine million, seven hundred thirty-four thousand, seven hundred".