Search a number
-
+
140312141302200 = 233527211534139221
BaseRepresentation
bin11111111001110011110111…
…010101110000100110111000
3200101210201011101011121212120
4133321303313111300212320
5121342333231133132300
61214230301410241240
741361134443421100
oct3771636725604670
9611721141147776
10140312141302200
114078705492059a
12138a1524286220
13603a4bba48a9a
142691202b10200
151134c92a2d3a0
hex7f9cf75709b8

140312141302200 has 288 divisors, whose sum is σ = 506421725171760. Its totient is φ = 32043523276800.

The previous prime is 140312141302183. The next prime is 140312141302231. The reversal of 140312141302200 is 2203141213041.

It is a super-2 number, since 2×1403121413022002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31828590 + ... + 35967810.

Almost surely, 2140312141302200 is an apocalyptic number.

140312141302200 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 140312141302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253210862585880).

140312141302200 is an abundant number, since it is smaller than the sum of its proper divisors (366109583869560).

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

140312141302200 is a wasteful number, since it uses less digits than its factorization.

140312141302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140407 (or 4140391 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 140312141302200 its reverse (2203141213041), we get a palindrome (142515282515241).

The spelling of 140312141302200 in words is "one hundred forty trillion, three hundred twelve billion, one hundred forty-one million, three hundred two thousand, two hundred".