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41204430414 = 23271348724247
BaseRepresentation
bin100110010111111110…
…011011011001001110
310221100121101221102100
4212113332123121032
51133341313233124
630532401535530
72656040610510
oct462776333116
9127317357370
1041204430414
1116524910484
127b9b3445a6
133b68768494
141dcc531bb0
1511125ea1c9
hex997f9b64e

41204430414 has 48 divisors (see below), whose sum is σ = 102041791488. Its totient is φ = 11771336016.

The previous prime is 41204430413. The next prime is 41204430419. The reversal of 41204430414 is 41403440214.

41204430414 is a `hidden beast` number, since 4 + 1 + 204 + 43 + 0 + 414 = 666.

It is a super-2 number, since 2×412044304142 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41204430413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1687239 + ... + 1711485.

It is an arithmetic number, because the mean of its divisors is an integer number (2125870656).

Almost surely, 241204430414 is an apocalyptic number.

41204430414 is an abundant number, since it is smaller than the sum of its proper divisors (60837361074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41204430414 is a wasteful number, since it uses less digits than its factorization.

41204430414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37749 (or 37746 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 41204430414 its reverse (41403440214), we get a palindrome (82607870628).

The spelling of 41204430414 in words is "forty-one billion, two hundred four million, four hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 13487 24247 26974 40461 48494 72741 80922 94409 121383 145482 169729 188818 218223 242766 283227 339458 436446 509187 566454 849681 1018374 1527561 1699362 3055122 327019289 654038578 981057867 1962115734 2289135023 2943173601 4578270046 5886347202 6867405069 13734810138 20602215207 41204430414