Search a number
-
+
41305130402424 = 23372334930629609
BaseRepresentation
bin10010110010001000110011…
…01000000000001001111000
312102020201202120000220121020
421121010121220000021320
520403220401340334144
6223503152010142440
711462124431320530
oct1131043150001170
9172221676026536
1041305130402424
1112185453320569
124771264721a20
131a0809854a485
14a2b27118c4c0
154b9694256419
hex259119a00278

41305130402424 has 128 divisors (see below), whose sum is σ = 123498587520000. Its totient is φ = 11256013384704.

The previous prime is 41305130402423. The next prime is 41305130402467. The reversal of 41305130402424 is 42420403150314.

It is a super-2 number, since 2×413051304024242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41305130402423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13966269 + ... + 16663340.

It is an arithmetic number, because the mean of its divisors is an integer number (964832715000).

Almost surely, 241305130402424 is an apocalyptic number.

It is an amenable number.

41305130402424 is an abundant number, since it is smaller than the sum of its proper divisors (82193457117576).

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

41305130402424 is a wasteful number, since it uses less digits than its factorization.

41305130402424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30629997 (or 30629993 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 41305130402424 its reverse (42420403150314), we get a palindrome (83725533552738).

The spelling of 41305130402424 in words is "forty-one trillion, three hundred five billion, one hundred thirty million, four hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 349 483 552 644 698 966 1047 1288 1396 1932 2094 2443 2792 3864 4188 4886 7329 8027 8376 9772 14658 16054 19544 24081 29316 32108 48162 56189 58632 64216 96324 112378 168567 192648 224756 337134 449512 674268 1348536 30629609 61259218 91888827 122518436 183777654 214407263 245036872 367555308 428814526 643221789 704481007 735110616 857629052 1286443578 1408962014 1715258104 2113443021 2572887156 2817924028 4226886042 4931367049 5145774312 5635848056 8453772084 9862734098 10689733541 14794101147 16907544168 19725468196 21379467082 29588202294 32069200623 39450936392 42758934164 59176404588 64138401246 74828134787 85517868328 118352809176 128276802492 149656269574 224484404361 245863871443 256553604984 299312539148 448968808722 491727742886 598625078296 737591614329 897937617444 983455485772 1475183228658 1721047100101 1795875234888 1966910971544 2950366457316 3442094200202 5163141300303 5900732914632 6884188400404 10326282600606 13768376800808 20652565201212 41305130402424