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140012241402321 = 32727853128319553
BaseRepresentation
bin11111110101011100100011…
…111010011011100111010001
3200100202001001211121012200100
4133311130203322123213101
5121322430032244333241
61213440422530443013
741330356602345501
oct3765344372334721
9610661054535610
10140012241402321
1140680949183a72
1213853388433469
136018136897422
1426808b2dc7a01
15112c08e0439b6
hex7f5723e9b9d1

140012241402321 has 48 divisors (see below), whose sum is σ = 202923917030016. Its totient is φ = 93026499591168.

The previous prime is 140012241402307. The next prime is 140012241402323. The reversal of 140012241402321 is 123204142210041.

140012241402321 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 224 + 1 + 402 + 32 + 1 = 666.

It is not a de Polignac number, because 140012241402321 - 219 = 140012240878033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (140012241402323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7160642881 + ... + 7160662433.

It is an arithmetic number, because the mean of its divisors is an integer number (4227581604792).

Almost surely, 2140012241402321 is an apocalyptic number.

It is an amenable number.

140012241402321 is a deficient number, since it is larger than the sum of its proper divisors (62911675627695).

140012241402321 is a wasteful number, since it uses less digits than its factorization.

140012241402321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22422 (or 22419 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 140012241402321 its reverse (123204142210041), we get a palindrome (263216383612362).

The spelling of 140012241402321 in words is "one hundred forty trillion, twelve billion, two hundred forty-one million, four hundred two thousand, three hundred twenty-one".

Divisors: 1 3 9 727 853 1283 2181 2559 3849 6543 7677 11547 19553 58659 175977 620131 932741 1094399 1860393 2798223 3283197 5581179 8394669 9849591 14215031 16678709 25086499 42645093 50036127 75259497 127935279 150108381 225778491 795628073 2386884219 7160652657 12125421443 18237884773 21398783647 36376264329 54713654319 64196350941 109128792987 164140962957 192589052823 15556915711369 46670747134107 140012241402321