Search a number
-
+
231049104000 = 27353111341821
BaseRepresentation
bin1101011100101110011…
…0011000101010000000
3211002101012122121000020
43113023212120222000
512241142032312000
6254050440053440
722456416660051
oct3271346305200
9732335577006
10231049104000
1189a95217630
1238941a64280
1318a31b54a70
14b27b9ba728
15602422dba0
hex35cb998a80

231049104000 has 1024 divisors, whose sum is σ = 922901091840. Its totient is φ = 50380800000.

The previous prime is 231049103981. The next prime is 231049104019. The reversal of 231049104000 is 401940132.

It is an interprime number because it is at equal distance from previous prime (231049103981) and next prime (231049104019).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 281423590 + ... + 281424410.

Almost surely, 2231049104000 is an apocalyptic number.

231049104000 is a gapful number since it is divisible by the number (20) 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 231049104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461450545920).

231049104000 is an abundant number, since it is smaller than the sum of its proper divisors (691851987840).

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

231049104000 is a wasteful number, since it uses less digits than its factorization.

231049104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 231049104000 in words is "two hundred thirty-one billion, forty-nine million, one hundred four thousand".