Search a number
-
+
140352630000 = 24354111014211
BaseRepresentation
bin1000001010110110101…
…0110010110011110000
3111102021102020100011120
42002231222302303300
54244420233130000
6144251015542240
713066032446052
oct2025552626360
9442242210146
10140352630000
11545834452a0
122324b98a980
13103099592bb
146b163c18d2
1539b6b796a0
hex20adab2cf0

140352630000 has 400 divisors, whose sum is σ = 499278079872. Its totient is φ = 33680000000.

The previous prime is 140352629971. The next prime is 140352630001. The reversal of 140352630000 is 36253041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140352630001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33327895 + ... + 33332105.

Almost surely, 2140352630000 is an apocalyptic number.

140352630000 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 140352630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249639039936).

140352630000 is an abundant number, since it is smaller than the sum of its proper divisors (358925449872).

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

140352630000 is a wasteful number, since it uses less digits than its factorization.

140352630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4354 (or 4333 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 140352630000 its reverse (36253041), we get a palindrome (140388883041).

The spelling of 140352630000 in words is "one hundred forty billion, three hundred fifty-two million, six hundred thirty thousand".