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41343222234314 = 27111347439382131
BaseRepresentation
bin10010110011001111110000…
…00100110011110011001010
312102101101002020112110112202
421121213320010303303022
520404331404342444224
6223532451502240202
711464643405462150
oct1131477004636312
9172341066473482
1041343222234314
111219a620154670
124778715586062
131a0b859199380
14a2d0461673d0
154ba673469eae
hex2599f8133cca

41343222234314 has 64 divisors (see below), whose sum is σ = 85036260298752. Its totient is φ = 14552336145600.

The previous prime is 41343222234283. The next prime is 41343222234443.

41343222234314 is nontrivially palindromic in base 10.

41343222234314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 219596972 + ... + 219785159.

It is an arithmetic number, because the mean of its divisors is an integer number (1328691567168).

Almost surely, 241343222234314 is an apocalyptic number.

41343222234314 is an abundant number, since it is smaller than the sum of its proper divisors (43693038064438).

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

41343222234314 is a wasteful number, since it uses less digits than its factorization.

41343222234314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439382211.

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 4134322 and 2234314, that added together give a palindrome (6368636).

The spelling of 41343222234314 in words is "forty-one trillion, three hundred forty-three billion, two hundred twenty-two million, two hundred thirty-four thousand, three hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 47 77 91 94 143 154 182 286 329 517 611 658 1001 1034 1222 2002 3619 4277 6721 7238 8554 13442 47047 94094 439382131 878764262 3075674917 4833203441 5711967703 6151349834 9666406882 11423935406 20650960157 33832424087 39983773921 41301920314 62831644733 67664848174 79967547842 125663289466 144556721099 227160561727 268462482041 289113442198 439821513131 454321123454 536924964082 879643026262 1590123932089 1879237374287 2953087302451 3180247864178 3758474748574 5906174604902 20671611117157 41343222234314