Search a number
-
+
29942697201741 = 3227147563258113
BaseRepresentation
bin1101100111011100100111…
…10101001001000001001101
310221000111100001100222221200
412303232103311021001031
512411040120440423431
6143403252445220113
76210200643551352
oct663562365110115
9127014301328850
1029942697201741
1195a4698a69645
123437118861639
131392779728c2c
1475733cbdc629
1536dd29256ee6
hex1b3b93d4904d

29942697201741 has 24 divisors (see below), whose sum is σ = 43411239670656. Its totient is φ = 19887643169280.

The previous prime is 29942697201737. The next prime is 29942697201799. The reversal of 29942697201741 is 14710279624992.

29942697201741 is a `hidden beast` number, since 2 + 99 + 426 + 9 + 72 + 0 + 17 + 41 = 666.

It is not a de Polignac number, because 29942697201741 - 22 = 29942697201737 is a prime.

It is a super-3 number, since 3×299426972017413 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29942697201841) 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 23 ways as a sum of consecutive naturals, for example, 115877101 + ... + 116135213.

It is an arithmetic number, because the mean of its divisors is an integer number (1808801652944).

Almost surely, 229942697201741 is an apocalyptic number.

It is an amenable number.

29942697201741 is a deficient number, since it is larger than the sum of its proper divisors (13468542468915).

29942697201741 is a wasteful number, since it uses less digits than its factorization.

29942697201741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305953 (or 305950 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 29942697201741 in words is "twenty-nine trillion, nine hundred forty-two billion, six hundred ninety-seven million, two hundred one thousand, seven hundred forty-one".

Divisors: 1 3 9 271 813 2439 47563 142689 258113 428067 774339 2323017 12889573 38668719 69948623 116006157 209845869 629537607 12276628619 36829885857 110489657571 3326966355749 9980899067247 29942697201741