Search a number
-
+
140141124014013 = 335190412000519
BaseRepresentation
bin11111110111010100100101…
…111010100100111110111101
3200101012100201212222020201000
4133313110211322210332331
5121332033010221422023
61214015535452240513
741342601460436133
oct3767244572447675
9611170655866630
10140141124014013
1140720576041791
1213874356a70139
136027336110835
142686c1bd09753
1511305d3c39243
hex7f7525ea4fbd

140141124014013 has 8 divisors (see below), whose sum is σ = 207616480020800. Its totient is φ = 93427416009324.

The previous prime is 140141124013981. The next prime is 140141124014053. The reversal of 140141124014013 is 310410421141041.

140141124014013 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 4 + 11 + 240 + 1 + 401 + 3 = 666.

It is not a de Polignac number, because 140141124014013 - 25 = 140141124013981 is a prime.

It is a super-2 number, since 2×1401411240140132 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 5190412000519 = 140141124014013 / (1 + 4 + 0 + 1 + 4 + 1 + 1 + 2 + 4 + 0 + 1 + 4 + 0 + 1 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140141124014053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2595206000233 + ... + 2595206000286.

It is an arithmetic number, because the mean of its divisors is an integer number (25952060002600).

Almost surely, 2140141124014013 is an apocalyptic number.

It is an amenable number.

140141124014013 is a deficient number, since it is larger than the sum of its proper divisors (67475356006787).

140141124014013 is an equidigital number, since it uses as much as digits as its factorization.

140141124014013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190412000528 (or 5190412000522 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 140141124014013 its reverse (310410421141041), we get a palindrome (450551545155054).

The spelling of 140141124014013 in words is "one hundred forty trillion, one hundred forty-one billion, one hundred twenty-four million, fourteen thousand, thirteen".

Divisors: 1 3 9 27 5190412000519 15571236001557 46713708004671 140141124014013