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413021023041 = 31113721634091
BaseRepresentation
bin1100000001010011111…
…10001010101101000001
31110111002010220212122110
412000221332022231001
523231331340214131
6513423401525533
741561021525214
oct6005176125501
91414063825573
10413021023041
1114a185666770
1268067aa38a9
132cc42190cc3
1415dc164177b
15ab24aee646
hex6029f8ab41

413021023041 has 48 divisors (see below), whose sum is σ = 609036519168. Its totient is φ = 246903811200.

The previous prime is 413021022979. The next prime is 413021023081. The reversal of 413021023041 is 140320120314.

It is not a de Polignac number, because 413021023041 - 218 = 413020760897 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 413021022999 and 413021023017.

It is not an unprimeable number, because it can be changed into a prime (413021023081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100956406 + ... + 100960496.

It is an arithmetic number, because the mean of its divisors is an integer number (12688260816).

Almost surely, 2413021023041 is an apocalyptic number.

It is an amenable number.

413021023041 is a deficient number, since it is larger than the sum of its proper divisors (196015496127).

413021023041 is a wasteful number, since it uses less digits than its factorization.

413021023041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 413021023041 its reverse (140320120314), we get a palindrome (553341143355).

The spelling of 413021023041 in words is "four hundred thirteen billion, twenty-one million, twenty-three thousand, forty-one".

Divisors: 1 3 11 33 137 163 411 489 1507 1793 4091 4521 5379 12273 18769 22331 45001 56307 66993 135003 206459 245641 560467 619377 666833 736923 1681401 2000499 3059347 6165137 7335163 9178041 18495411 22005489 33652817 76783979 91356121 100958451 230351937 274068363 844623769 1004917331 2533871307 3014751993 12515788577 37547365731 137673674347 413021023041