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2140042010301 = 3213181541186793
BaseRepresentation
bin11111001001000100011…
…100011001111010111101
321120120211012121002000100
4133021010130121322331
5240030301223312201
64315042143151313
7310420143644256
oct37110434317275
97516735532010
102140042010301
1175564aa18988
122a69078a5539
13126a60a44c20
14758158d5b2d
153aa0274b886
hex1f244719ebd

2140042010301 has 48 divisors (see below), whose sum is σ = 3353551535152. Its totient is φ = 1307245132800.

The previous prime is 2140042010279. The next prime is 2140042010339. The reversal of 2140042010301 is 1030102400412.

2140042010301 is a `hidden beast` number, since 2 + 140 + 0 + 420 + 103 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 106081141401 + 2033960868900 = 325701^2 + 1426170^2 .

It is not a de Polignac number, because 2140042010301 - 218 = 2140041748157 is a prime.

It is a super-2 number, since 2×21400420103012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140042010341) by changing a digit.

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, 11363361 + ... + 11550153.

Almost surely, 22140042010301 is an apocalyptic number.

It is an amenable number.

2140042010301 is a deficient number, since it is larger than the sum of its proper divisors (1213509524851).

2140042010301 is a wasteful number, since it uses less digits than its factorization.

2140042010301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187534 (or 187531 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2140042010301 its reverse (1030102400412), we get a palindrome (3170144410713).

The spelling of 2140042010301 in words is "two trillion, one hundred forty billion, forty-two million, ten thousand, three hundred one".

Divisors: 1 3 9 13 39 117 181 541 543 1623 1629 2353 4869 7033 7059 21099 21177 63297 97921 186793 293763 560379 881289 1272973 1681137 2428309 3818919 7284927 11456757 21854781 33809533 101055013 101428599 303165039 304285797 439523929 909495117 1313715169 1318571787 3941145507 3955715361 11823436521 18290957353 54872872059 164618616177 237782445589 713347336767 2140042010301