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140012000341344 = 25332003206939103
BaseRepresentation
bin11111110101011100010101…
…100010110110110101100000
3200100202000110001000001012000
4133311130111202312311200
5121322424034041410334
61213440343000004000
741330350614354015
oct3765342542666540
9610660401001160
10140012000341344
11406808350a631a
121385331b760600
1360180c89646b1
14268088cd9770c
15112c077cc8299
hex7f57158b6d60

140012000341344 has 192 divisors, whose sum is σ = 408780139622400. Its totient is φ = 46623628187136.

The previous prime is 140012000341277. The next prime is 140012000341351. The reversal of 140012000341344 is 443143000210041.

140012000341344 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 200 + 0 + 3 + 413 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3580575297 + ... + 3580614399.

It is an arithmetic number, because the mean of its divisors is an integer number (2129063227200).

Almost surely, 2140012000341344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140012000341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204390069811200).

140012000341344 is an abundant number, since it is smaller than the sum of its proper divisors (268768139281056).

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

140012000341344 is a wasteful number, since it uses less digits than its factorization.

140012000341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43194 (or 43180 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 140012000341344 its reverse (443143000210041), we get a palindrome (583155000551385).

The spelling of 140012000341344 in words is "one hundred forty trillion, twelve billion, three hundred forty-one thousand, three hundred forty-four".