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140012022400002 = 23224869693127681
BaseRepresentation
bin11111110101011100010110…
…110111000000010000000010
3200100202000111120111201222100
4133311130112313000100002
5121322424110213300002
61213440345104451230
741330351303015664
oct3765342667002002
9610660446451870
10140012022400002
11406808465a2315
1213853327019b16
1360181003b8b5c
142680891c9a534
15112c079bd411c
hex7f5716dc0402

140012022400002 has 24 divisors (see below), whose sum is σ = 303359600838060. Its totient is φ = 46670640445440.

The previous prime is 140012022400001. The next prime is 140012022400021. The reversal of 140012022400002 is 200004220210041.

140012022400002 is a `hidden beast` number, since 1 + 400 + 1 + 20 + 2 + 240 + 0 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97887496103721 + 42124526296281 = 9893811^2 + 6490341^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (140012022400001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43201602 + ... + 46329282.

Almost surely, 2140012022400002 is an apocalyptic number.

140012022400002 is an abundant number, since it is smaller than the sum of its proper divisors (163347578438058).

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

140012022400002 is a wasteful number, since it uses less digits than its factorization.

140012022400002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5614658 (or 5614655 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 140012022400002 its reverse (200004220210041), we get a palindrome (340016242610043).

The spelling of 140012022400002 in words is "one hundred forty trillion, twelve billion, twenty-two million, four hundred thousand, two".

Divisors: 1 2 3 6 9 18 2486969 3127681 4973938 6255362 7460907 9383043 14921814 18766086 22382721 28149129 44765442 56298258 7778445688889 15556891377778 23335337066667 46670674133334 70006011200001 140012022400002