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41032444423014 = 23211234915396593
BaseRepresentation
bin10010101010001100111000…
…10001100010101101100110
312101021122220121020220011100
421111012130101202231212
520334233421233014024
6223134013355220530
711433332136614232
oct1125063421425546
9171248817226140
1041032444423014
111208a842188200
124728442747746
1319b845c498b35
14a1bda38715c2
154b25349aa7c9
hex25519c462b66

41032444423014 has 72 divisors (see below), whose sum is σ = 97748528708376. Its totient is φ = 12430510012800.

The previous prime is 41032444422979. The next prime is 41032444423039.

41032444423014 is a `hidden beast` number, since 4 + 103 + 244 + 4 + 4 + 2 + 301 + 4 = 666.

41032444423014 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×410324444230142 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 41032444423014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4905102 + ... + 10301694.

It is an arithmetic number, because the mean of its divisors is an integer number (1357618454283).

Almost surely, 241032444423014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41032444423014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48874264354188).

41032444423014 is an abundant number, since it is smaller than the sum of its proper divisors (56716084285362).

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

41032444423014 is a wasteful number, since it uses less digits than its factorization.

41032444423014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5400114 (or 5400100 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 4103244 and 4423014, that added together give a palindrome (8526258).

The spelling of 41032444423014 in words is "forty-one trillion, thirty-two billion, four hundred forty-four million, four hundred twenty-three thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 3491 6982 10473 20946 31419 38401 62838 76802 115203 230406 345609 422411 691218 844822 1267233 2534466 3801699 5396593 7603398 10793186 16189779 32379558 48569337 59362523 97138674 118725046 178087569 356175138 534262707 652987753 1068525414 1305975506 1958963259 3917926518 5876889777 11753779554 18839506163 37679012326 56518518489 113037036978 169555555467 207234567793 339111110934 414469135586 621703703379 1243407406758 1865111110137 2279580245723 3730222220274 4559160491446 6838740737169 13677481474338 20516222211507 41032444423014