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140442331200 = 26352172516857
BaseRepresentation
bin1000001011001100000…
…0111110100001000000
3111102111200000122002020
42002303000332201000
54300111214044300
6144303542321440
713101202055433
oct2026300764100
9442450018066
10140442331200
115461a042116
1223275a29280
1310322405232
146b2429181a
1539be9978a0
hex20b303e840

140442331200 has 336 divisors, whose sum is σ = 489887020224. Its totient is φ = 35102720000.

The previous prime is 140442331177. The next prime is 140442331207. The reversal of 140442331200 is 2133244041.

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

It is not an unprimeable number, because it can be changed into a prime (140442331207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20478172 + ... + 20485028.

It is an arithmetic number, because the mean of its divisors is an integer number (1457997084).

Almost surely, 2140442331200 is an apocalyptic number.

140442331200 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 140442331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244943510112).

140442331200 is an abundant number, since it is smaller than the sum of its proper divisors (349444689024).

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

140442331200 is a wasteful number, since it uses less digits than its factorization.

140442331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7150 (or 7135 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 140442331200 its reverse (2133244041), we get a palindrome (142575575241).

The spelling of 140442331200 in words is "one hundred forty billion, four hundred forty-two million, three hundred thirty-one thousand, two hundred".