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41432344323414 = 23113716966561967
BaseRepresentation
bin10010110101110101110000…
…01010100110010101010110
312102200220010022110200022120
421122322320022212111112
520412311420121322124
6224041431202040410
711504250054646542
oct1132727012462526
9172626108420276
1041432344323414
11122243a4260260
124791a48349106
131a1709015a235
14a3349c618a22
154bcb3c6ced79
hex25aeb82a6556

41432344323414 has 32 divisors (see below), whose sum is σ = 92841027088896. Its totient is φ = 12215924615520.

The previous prime is 41432344323407. The next prime is 41432344323421.

41432344323414 is nontrivially palindromic in base 10.

41432344323414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41432344323407) and next prime (41432344323421).

It is a super-3 number, since 3×414323443234143 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 8483278542 + ... + 8483283425.

It is an arithmetic number, because the mean of its divisors is an integer number (2901282096528).

Almost surely, 241432344323414 is an apocalyptic number.

41432344323414 is an abundant number, since it is smaller than the sum of its proper divisors (51408682765482).

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

41432344323414 is a wasteful number, since it uses less digits than its factorization.

41432344323414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16966562020.

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 4143234 and 4323414, that added together give a palindrome (8466648).

The spelling of 41432344323414 in words is "forty-one trillion, four hundred thirty-two billion, three hundred forty-four million, three hundred twenty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 16966561967 33933123934 50899685901 101799371802 186632181637 373264363274 559896544911 627762792779 1119793089822 1255525585558 1883288378337 3766576756674 6905390720569 13810781441138 20716172161707 41432344323414