Search a number
-
+
413235305025021 = 33373450011198979
BaseRepresentation
bin101110111110101011101011…
…1100100001000110111111101
32000012010220112220200102112000
41131331113113210020313331
5413130421401041300041
64022513402310532513
7153020160041263113
oct13575272744106775
92005126486612460
10413235305025021
1110a740121734416
123a41b92b667139
1314976bca9b608b
1474089a457bab3
1532b92ea46cbb6
hex177d5d7908dfd

413235305025021 has 32 divisors (see below), whose sum is σ = 628748756899200. Its totient is φ = 268043521680000.

The previous prime is 413235305025013. The next prime is 413235305025119. The reversal of 413235305025021 is 120520503532314.

413235305025021 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 3 + 530 + 50 + 2 + 50 + 21 = 666.

It is not a de Polignac number, because 413235305025021 - 23 = 413235305025013 is a prime.

It is a super-2 number, since 2×4132353050250212 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413235305025421) 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 31 ways as a sum of consecutive naturals, for example, 344056510 + ... + 345255488.

It is an arithmetic number, because the mean of its divisors is an integer number (19648398653100).

Almost surely, 2413235305025021 is an apocalyptic number.

It is an amenable number.

413235305025021 is a deficient number, since it is larger than the sum of its proper divisors (215513451874179).

413235305025021 is a wasteful number, since it uses less digits than its factorization.

413235305025021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544026 (or 1544020 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 413235305025021 its reverse (120520503532314), we get a palindrome (533755808557335).

The spelling of 413235305025021 in words is "four hundred thirteen trillion, two hundred thirty-five billion, three hundred five million, twenty-five thousand, twenty-one".

Divisors: 1 3 9 27 37 111 333 999 345001 1035003 1198979 3105009 3596937 9315027 10790811 12765037 32372433 38295111 44362223 114885333 133086669 344655999 399260007 1197780021 413648953979 1240946861937 3722840585811 11168521757433 15305011297223 45915033891669 137745101675007 413235305025021