Search a number
-
+
140323276800 = 2113352717853
BaseRepresentation
bin1000001010101111101…
…0110100100000000000
3111102012101000001011000
42002223322310200000
54244340224324200
6144244050452000
713065225113160
oct2025372644000
9442171001130
10140323276800
1154568916853
1223241b94000
131030384c845
146b125405a0
1539b42cc300
hex20abeb4800

140323276800 has 1152 divisors, whose sum is σ = 624447532800. Its totient is φ = 30151802880.

The previous prime is 140323276777. The next prime is 140323276801. The reversal of 140323276800 is 8672323041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140323276801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164505174 + ... + 164506026.

It is an arithmetic number, because the mean of its divisors is an integer number (542055150).

Almost surely, 2140323276800 is an apocalyptic number.

140323276800 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 140323276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312223766400).

140323276800 is an abundant number, since it is smaller than the sum of its proper divisors (484124256000).

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

140323276800 is a wasteful number, since it uses less digits than its factorization.

140323276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 140323276800 its reverse (8672323041), we get a palindrome (148995599841).

The spelling of 140323276800 in words is "one hundred forty billion, three hundred twenty-three million, two hundred seventy-six thousand, eight hundred".