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41413222231414 = 2113476971778201
BaseRepresentation
bin10010110101010010001000…
…11001100110110101110110
312102122001202122212202102221
421122221010121212311312
520412003234342401124
6224024545513152554
711503002152600305
oct1132510431466566
9172561678782387
1041413222231414
1112217281344540
12478a1b03bb75a
131a153336125b7
14a325a6b7c43c
154bc3bda79ce4
hex25aa44666d76

41413222231414 has 32 divisors (see below), whose sum is σ = 67972221781632. Its totient is φ = 18767226840000.

The previous prime is 41413222231373. The next prime is 41413222231471.

41413222231414 is nontrivially palindromic in base 10.

41413222231414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41413222231414.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 52827514 + ... + 53605714.

It is an arithmetic number, because the mean of its divisors is an integer number (2124131930676).

Almost surely, 241413222231414 is an apocalyptic number.

41413222231414 is a deficient number, since it is larger than the sum of its proper divisors (26558999550218).

41413222231414 is a wasteful number, since it uses less digits than its factorization.

41413222231414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785532.

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 4141322 and 2231414, that added together give a palindrome (6372736).

The spelling of 41413222231414 in words is "forty-one trillion, four hundred thirteen billion, two hundred twenty-two million, two hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 11 22 347 694 3817 6971 7634 13942 76681 153362 778201 1556402 2418937 4837874 8560211 17120422 26608307 53216614 270035747 540071494 2970393217 5424839171 5940786434 10849678342 59673230881 119346461762 1882419192337 3764838384674 20706611115707 41413222231414