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41321011012314 = 231110125261245389
BaseRepresentation
bin10010110010100110011000…
…01011101110001011011010
312102022020202022012110221220
421121103030023232023122
520404000412304343224
6223514335502512510
711463226113266655
oct1131231413561332
9172266668173856
1041321011012314
1112191162530850
124774356b95736
131a09729661267
14a2bd3a32289c
154b9cc3517279
hex2594cc2ee2da

41321011012314 has 64 divisors (see below), whose sum is σ = 91051531539840. Its totient is φ = 12397001760000.

The previous prime is 41321011012313. The next prime is 41321011012321.

41321011012314 is nontrivially palindromic in base 10.

41321011012314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41321011012313) 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, 168267132 + ... + 168512520.

It is an arithmetic number, because the mean of its divisors is an integer number (1422680180310).

Almost surely, 241321011012314 is an apocalyptic number.

41321011012314 is an abundant number, since it is smaller than the sum of its proper divisors (49730520527526).

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

41321011012314 is a wasteful number, since it uses less digits than its factorization.

41321011012314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270767.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 4132101 and 1012314, that added together give a palindrome (5144415).

The spelling of 41321011012314 in words is "forty-one trillion, three hundred twenty-one billion, eleven million, twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 3333 6666 25261 50522 75783 151566 245389 277871 490778 555742 736167 833613 1472334 1667226 2551361 2699279 5102722 5398558 7654083 8097837 15308166 16195674 24784289 28064971 49568578 56129942 74352867 84194913 148705734 168389826 272627179 545254358 817881537 1635763074 6198771529 12397543058 18596314587 37192629174 68186486819 136372973638 204559460457 409118920914 626075924429 1252151848858 1878227773287 3756455546574 6886835168719 13773670337438 20660505506157 41321011012314