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41843122134814 = 27112136732823269
BaseRepresentation
bin10011000001110010111000…
…11011100101111100011110
312111011011102010101121002101
421200321130123211330132
520441024203231303224
6224554244232115314
711546031400513330
oct1140713433457436
9174134363347071
1041843122134814
1112372628662900
124839588b35b3a
131a46a3566a270
14a49309d71450
154c86803c9044
hex260e5c6e5f1e

41843122134814 has 96 divisors (see below), whose sum is σ = 85036079298240. Its totient is φ = 15026109880320.

The previous prime is 41843122134769. The next prime is 41843122134823.

41843122134814 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×418431221348142 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13409172 + ... + 16232440.

It is an arithmetic number, because the mean of its divisors is an integer number (885792492690).

Almost surely, 241843122134814 is an apocalyptic number.

41843122134814 is an abundant number, since it is smaller than the sum of its proper divisors (43192957163426).

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

41843122134814 is a wasteful number, since it uses less digits than its factorization.

41843122134814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823986 (or 2823975 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The spelling of 41843122134814 in words is "forty-one trillion, eight hundred forty-three billion, one hundred twenty-two million, one hundred thirty-four thousand, eight hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 673 847 1001 1346 1573 1694 2002 3146 4711 7403 8749 9422 11011 14806 17498 22022 51821 61243 81433 96239 103642 122486 162866 192478 570031 673673 1058629 1140062 1347346 2117258 2823269 5646538 7410403 14820806 19762883 31055959 36702497 39525766 62111918 73404994 217391713 256917479 341615549 403727467 434783426 513834958 683231098 807454934 1900060037 2391308843 2826092269 3800120074 4441002137 4782617686 5652184538 8882004274 13300420259 20900660407 24700780481 26600840518 31087014959 41801320814 49401560962 62174029918 146304622849 172905463367 229907264477 271708585291 292609245698 345810926734 459814528954 543417170582 1609350851339 1901960097037 2988794438201 3218701702678 3803920194074 5977588876402 20921561067407 41843122134814