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140107968001 = 1931750731687
BaseRepresentation
bin1000001001111100010…
…1011110111000000001
3111101122100212020000001
42002133011132320001
54243420114434001
6144210440000001
713060002035551
oct2023705367001
9441570766001
10140107968001
11544683280a1
12231a1a60001
131029b0654a1
146ad1ad5161
1539a044c001
hex209f15ee01

140107968001 has 16 divisors (see below), whose sum is σ = 152264642560. Its totient is φ = 128430962640.

The previous prime is 140107967999. The next prime is 140107968031. The reversal of 140107968001 is 100869701041.

It is a cyclic number.

It is not a de Polignac number, because 140107968001 - 21 = 140107967999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (140107968031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4405780 + ... + 4437466.

It is an arithmetic number, because the mean of its divisors is an integer number (9516540160).

Almost surely, 2140107968001 is an apocalyptic number.

It is an amenable number.

140107968001 is a deficient number, since it is larger than the sum of its proper divisors (12156674559).

140107968001 is a wasteful number, since it uses less digits than its factorization.

140107968001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39244.

The product of its (nonzero) digits is 12096, while the sum is 37.

The spelling of 140107968001 in words is "one hundred forty billion, one hundred seven million, nine hundred sixty-eight thousand, one".

Divisors: 1 19 31 589 7507 31687 142633 232717 602053 982297 4421623 18663643 237874309 4519611871 7374103579 140107968001