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140213111200400 = 24527192699797713
BaseRepresentation
bin11111111000010111101000…
…101011111001101010010000
3200101110020112210120012211102
4133320113220223321222100
5121334222422431403100
61214113003011403532
741351030414432120
oct3770275053715220
9611406483505742
10140213111200400
1140749056a19357
12138862a72b35a8
136031069167104
14268a4ca802c80
1511323e8a2acd5
hex7f85e8af9a90

140213111200400 has 240 divisors, whose sum is σ = 406754056252800. Its totient is φ = 45373596180480.

The previous prime is 140213111200363. The next prime is 140213111200403. The reversal of 140213111200400 is 4002111312041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (140213111200403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9411944 + ... + 19209656.

It is an arithmetic number, because the mean of its divisors is an integer number (1694808567720).

Almost surely, 2140213111200400 is an apocalyptic number.

140213111200400 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 140213111200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203377028126400).

140213111200400 is an abundant number, since it is smaller than the sum of its proper divisors (266540945052400).

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

140213111200400 is a wasteful number, since it uses less digits than its factorization.

140213111200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9798026 (or 9798015 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 140213111200400 its reverse (4002111312041), we get a palindrome (144215222512441).

The spelling of 140213111200400 in words is "one hundred forty trillion, two hundred thirteen billion, one hundred eleven million, two hundred thousand, four hundred".