Search a number
-
+
153334404153 = 3278392900929
BaseRepresentation
bin1000111011001101110…
…0010101010000111001
3112122210010201210110200
42032303130111100321
510003012101413103
6154235120232413
714035524634110
oct2166334252071
9478703653420
10153334404153
115a035301367
122587346b709
13115c8319278
1475c8564c77
153ec66cb0a3
hex23b3715439

153334404153 has 24 divisors (see below), whose sum is σ = 253425244800. Its totient is φ = 87515195904.

The previous prime is 153334404149. The next prime is 153334404187. The reversal of 153334404153 is 351404433351.

153334404153 is a `hidden beast` number, since 1 + 533 + 34 + 4 + 0 + 41 + 53 = 666.

153334404153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153334404153 - 22 = 153334404149 is a prime.

It is a super-2 number, since 2×1533344041532 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (153334404103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1397608 + ... + 1503321.

It is an arithmetic number, because the mean of its divisors is an integer number (10559385200).

Almost surely, 2153334404153 is an apocalyptic number.

It is an amenable number.

153334404153 is a deficient number, since it is larger than the sum of its proper divisors (100090840647).

153334404153 is a wasteful number, since it uses less digits than its factorization.

153334404153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901781 (or 2901778 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 153334404153 in words is "one hundred fifty-three billion, three hundred thirty-four million, four hundred four thousand, one hundred fifty-three".

Divisors: 1 3 7 9 21 63 839 2517 5873 7551 17619 52857 2900929 8702787 20306503 26108361 60919509 182758527 2433879431 7301638293 17037156017 21904914879 51111468051 153334404153