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441415413405 = 355739751307
BaseRepresentation
bin1100110110001100110…
…10001010111010011101
31120012100222222100200000
412123012122022322131
524213004321212110
6534441120124513
743614454051341
oct6330632127235
91505328870600
10441415413405
1116022654748a
1271671166739
1332818a07c15
1417516735621
15b7377bc1c0
hex66c668ae9d

441415413405 has 96 divisors (see below), whose sum is σ = 812634985344. Its totient is φ = 229798342656.

The previous prime is 441415413389. The next prime is 441415413427. The reversal of 441415413405 is 504314514144.

441415413405 is a `hidden beast` number, since 4 + 41 + 41 + 541 + 34 + 0 + 5 = 666.

It is not a de Polignac number, because 441415413405 - 24 = 441415413389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 441415413405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8577762 + ... + 8629068.

It is an arithmetic number, because the mean of its divisors is an integer number (8464947764).

Almost surely, 2441415413405 is an apocalyptic number.

441415413405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

441415413405 is a deficient number, since it is larger than the sum of its proper divisors (371219571939).

441415413405 is an equidigital number, since it uses as much as digits as its factorization.

441415413405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51497 (or 51485 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 441415413405 its reverse (504314514144), we get a palindrome (945729927549).

The spelling of 441415413405 in words is "four hundred forty-one billion, four hundred fifteen million, four hundred thirteen thousand, four hundred five".

Divisors: 1 3 5 9 15 27 45 73 81 97 135 219 243 291 365 405 485 657 873 1095 1215 1455 1971 2619 3285 4365 5913 7081 7857 9855 13095 17739 21243 23571 29565 35405 39285 51307 63729 88695 106215 117855 153921 191187 256535 318645 461763 573561 769605 955935 1385289 1720683 2308815 2867805 3745411 4155867 4976779 6926445 8603415 11236233 12467601 14930337 18727055 20779335 24883895 33708699 44791011 56181165 62338005 74651685 101126097 134373033 168543495 223955055 303378291 363304867 403119099 505630485 671865165 910134873 1089914601 1209357297 1516891455 1816524335 2015595495 3269743803 4550674365 5449573005 6046786485 9809231409 16348719015 29427694227 49046157045 88283082681 147138471135 441415413405