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140002110414000 = 24325337210213379
BaseRepresentation
bin11111110101010011001000…
…000011110001110010110000
3200100201001220210100200100200
4133311103020003301302300
5121322243310231222000
61213432025344315200
741326550544355422
oct3765231003616260
9610631823320320
10140002110414000
114067761a53254a
121385141b612b00
1360171b0a06693
1426801d16c8812
15112bb9990e500
hex7f54c80f1cb0

140002110414000 has 240 divisors, whose sum is σ = 502196401405920. Its totient is φ = 36324871718400.

The previous prime is 140002110413983. The next prime is 140002110414097. The reversal of 140002110414000 is 414011200041.

140002110414000 is a `hidden beast` number, since 1 + 40 + 0 + 0 + 211 + 0 + 414 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104440690 + ... + 105772689.

It is an arithmetic number, because the mean of its divisors is an integer number (2092485005858).

Almost surely, 2140002110414000 is an apocalyptic number.

140002110414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140002110414000 is an abundant number, since it is smaller than the sum of its proper divisors (362194290991920).

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

140002110414000 is a wasteful number, since it uses less digits than its factorization.

140002110414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210213445 (or 210213426 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 140002110414000 its reverse (414011200041), we get a palindrome (140416121614041).

The spelling of 140002110414000 in words is "one hundred forty trillion, two billion, one hundred ten million, four hundred fourteen thousand".