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41345311476441 = 3717382393028667
BaseRepresentation
bin10010110011010011101001…
…00110101000101011011001
312102101120110211210221221210
421121221310212220223121
520404400144214221231
6223533435054053333
711465046234652110
oct1131516446505331
9172346424727853
1041345311476441
11121a04a2505155
124778bb91aa249
131a0baccc8b70b
14a2d1a3812c77
154ba746aa9a46
hex259a749a8ad9

41345311476441 has 32 divisors (see below), whose sum is σ = 66710168248320. Its totient is φ = 22235545057536.

The previous prime is 41345311476439. The next prime is 41345311476473. The reversal of 41345311476441 is 14467411354314.

41345311476441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41345311476441 - 21 = 41345311476439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41345311476241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12136990 + ... + 15165656.

It is an arithmetic number, because the mean of its divisors is an integer number (2084692757760).

Almost surely, 241345311476441 is an apocalyptic number.

It is an amenable number.

41345311476441 is a deficient number, since it is larger than the sum of its proper divisors (25364856771879).

41345311476441 is a wasteful number, since it uses less digits than its factorization.

41345311476441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066933.

The product of its digits is 1935360, while the sum is 48.

The spelling of 41345311476441 in words is "forty-one trillion, three hundred forty-five billion, three hundred eleven million, four hundred seventy-six thousand, four hundred forty-one".

Divisors: 1 3 7 17 21 51 119 357 38239 114717 267673 650063 803019 1950189 3028667 4550441 9086001 13651323 21200669 51487339 63602007 154462017 360411373 1081234119 115813197413 347439592239 810692381891 1968824356021 2432077145673 5906473068063 13781770492147 41345311476441