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41412544521414 = 23111277990149627
BaseRepresentation
bin10010110101010000111000…
…00000010110010011000110
312102122000000102122112002120
421122220130000112103012
520412000342344141124
6224024354343350410
711502646313263353
oct1132503400262306
9172560012575076
1041412544521414
1112216a63839a30
12478a041452406
131a152560a8a71
14a32540b6762a
154bc37e30bd79
hex25aa1c0164c6

41412544521414 has 64 divisors (see below), whose sum is σ = 90436353230592. Its totient is φ = 12537909648000.

The previous prime is 41412544521389. The next prime is 41412544521421.

41412544521414 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834451269 + ... + 834500895.

It is an arithmetic number, because the mean of its divisors is an integer number (1413068019228).

Almost surely, 241412544521414 is an apocalyptic number.

41412544521414 is an abundant number, since it is smaller than the sum of its proper divisors (49023808709178).

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

41412544521414 is a wasteful number, since it uses less digits than its factorization.

41412544521414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60821.

The product of its digits is 409600, while the sum is 42.

It can be divided in two parts, 4141254 and 4521414, that added together give a palindrome (8662668).

The spelling of 41412544521414 in words is "forty-one trillion, four hundred twelve billion, five hundred forty-four million, five hundred twenty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 1277 2554 3831 7662 9901 14047 19802 28094 29703 42141 49627 59406 84282 99254 108911 148881 217822 297762 326733 545897 653466 1091794 1637691 3275382 12643577 25287154 37930731 63373679 75861462 126747358 139079347 190121037 278158694 380242074 417238041 491356927 697110469 834476082 982713854 1394220938 1474070781 2091331407 2948141562 4182662814 5404926197 10809852394 16214778591 32429557182 627462795779 1254925591558 1882388387337 3764776774674 6902090753569 13804181507138 20706272260707 41412544521414