Search a number
-
+
140213113224000 = 2635361326933539
BaseRepresentation
bin11111111000010111101000…
…110011100111101101000000
3200101110020112221101000200120
4133320113220303213231000
5121334222423441132000
61214113003123020240
741351030440560615
oct3770275063475500
9611406487330616
10140213113224000
1140749058080753
12138862a7b0a680
1360310696c51cb
14268a4cabac50c
1511323e8cca6a0
hex7f85e8ce7b40

140213113224000 has 448 divisors, whose sum is σ = 464042262078720. Its totient is φ = 37304762572800.

The previous prime is 140213113223983. The next prime is 140213113224049. The reversal of 140213113224000 is 422311312041.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39619414231 + ... + 39619417769.

Almost surely, 2140213113224000 is an apocalyptic number.

140213113224000 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 140213113224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232021131039360).

140213113224000 is an abundant number, since it is smaller than the sum of its proper divisors (323829148854720).

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

140213113224000 is a wasteful number, since it uses less digits than its factorization.

140213113224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6875 (or 6855 counting only the distinct ones).

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

Adding to 140213113224000 its reverse (422311312041), we get a palindrome (140635424536041).

The spelling of 140213113224000 in words is "one hundred forty trillion, two hundred thirteen billion, one hundred thirteen million, two hundred twenty-four thousand".