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41255410232240 = 24510117203296801
BaseRepresentation
bin10010110000101100001100…
…00100100110101110110000
312102001222102110202120022122
421120112012010212232300
520401412040004412430
6223424250202253412
711455414344666251
oct1130260604465660
9172058373676278
1041255410232240
1112166359605826
1247636a94b7268
131a034a3765829
14a28ab5aa0b28
154b8234238ee5
hex258586126bb0

41255410232240 has 80 divisors (see below), whose sum is σ = 96874477466976. Its totient is φ = 16337771520000.

The previous prime is 41255410232203. The next prime is 41255410232243. The reversal of 41255410232240 is 4223201455214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 41255410232240.

It is not an unprimeable number, because it can be changed into a prime (41255410232243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138851840 + ... + 139148640.

Almost surely, 241255410232240 is an apocalyptic number.

41255410232240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41255410232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48437238733488).

41255410232240 is an abundant number, since it is smaller than the sum of its proper divisors (55619067234736).

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

41255410232240 is a wasteful number, since it uses less digits than its factorization.

41255410232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314118 (or 314112 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 41255410232240 its reverse (4223201455214), we get a palindrome (45478611687454).

The spelling of 41255410232240 in words is "forty-one trillion, two hundred fifty-five billion, four hundred ten million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 17203 34406 68812 86015 137624 172030 275248 296801 344060 593602 688120 1187204 1376240 1484005 1737503 2374408 2968010 3475006 4748816 5936020 6950012 8687515 11872040 13900024 17375030 23744080 27800048 29976901 34750060 59953802 69500120 119907604 139000240 149884505 239815208 299769010 479630416 599538020 1199076040 2398152080 5105867603 10211735206 20423470412 25529338015 40846940824 51058676030 81693881648 102117352060 204234704120 408469408240 515692627903 1031385255806 2062770511612 2578463139515 4125541023224 5156926279030 8251082046448 10313852558060 20627705116120 41255410232240