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41014140203440 = 245678539896111
BaseRepresentation
bin10010101001101010110010…
…10000011111000110110000
312101012220122221122012100001
421110311121100133012300
520333433424343002230
6223121345204235344
711432113425406465
oct1124653120370660
9171186587565301
1041014140203440
1112082aa99aa108
12472499469bb54
1319b6803220c91
14a1b14889366c
154b1d12a5d0ca
hex254d5941f1b0

41014140203440 has 80 divisors (see below), whose sum is σ = 96792569879040. Its totient is φ = 16158884924160.

The previous prime is 41014140203437. The next prime is 41014140203441. The reversal of 41014140203440 is 4430204141014.

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

It is a junction number, because it is equal to n+sod(n) for n = 41014140203399 and 41014140203408.

It is not an unprimeable number, because it can be changed into a prime (41014140203441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45320985 + ... + 46217095.

It is an arithmetic number, because the mean of its divisors is an integer number (1209907123488).

Almost surely, 241014140203440 is an apocalyptic number.

41014140203440 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 41014140203440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48396284939520).

41014140203440 is an abundant number, since it is smaller than the sum of its proper divisors (55778429675600).

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

41014140203440 is a wasteful number, since it uses less digits than its factorization.

41014140203440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904730 (or 904724 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 41014140203440 its reverse (4430204141014), we get a palindrome (45444344344454).

The spelling of 41014140203440 in words is "forty-one trillion, fourteen billion, one hundred forty million, two hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 8539 17078 34156 42695 68312 85390 136624 170780 341560 572113 683120 896111 1144226 1792222 2288452 2860565 3584444 4480555 4576904 5721130 7168888 8961110 9153808 11442260 14337776 17922220 22884520 35844440 45769040 60039437 71688880 120078874 240157748 300197185 480315496 600394370 960630992 1200788740 2401577480 4803154960 7651891829 15303783658 30607567316 38259459145 61215134632 76518918290 122430269264 153037836580 306075673160 512676752543 612151346320 1025353505086 2050707010172 2563383762715 4101414020344 5126767525430 8202828040688 10253535050860 20507070101720 41014140203440