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41032013434120 = 2358326714627121
BaseRepresentation
bin10010101010001100000101…
…00101011100110100001000
312101021121210120021101112201
421111012002211130310020
520334232030414342440
6223133502521445544
711433315354354652
oct1125060245346410
9171247716241481
1041032013434120
111208a640976935
1247283423408b4
1319b83c10c7417
14a1bd625216d2
154b250bc2519a
hex25518295cd08

41032013434120 has 64 divisors (see below), whose sum is σ = 93469345079040. Its totient is φ = 16208986444800.

The previous prime is 41032013434103. The next prime is 41032013434127. The reversal of 41032013434120 is 2143431023014.

It is a happy number.

It is a super-2 number, since 2×410320134341202 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41032013434127) 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, 6554160 + ... + 11181280.

It is an arithmetic number, because the mean of its divisors is an integer number (1460458516860).

Almost surely, 241032013434120 is an apocalyptic number.

41032013434120 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 41032013434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46734672539520).

41032013434120 is an abundant number, since it is smaller than the sum of its proper divisors (52437331644920).

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

41032013434120 is a wasteful number, since it uses less digits than its factorization.

41032013434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4629886 (or 4629882 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 41032013434120 its reverse (2143431023014), we get a palindrome (43175444457134).

The spelling of 41032013434120 in words is "forty-one trillion, thirty-two billion, thirteen million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 2671 3320 5342 10684 13355 21368 26710 53420 106840 221693 443386 886772 1108465 1773544 2216930 4433860 4627121 8867720 9254242 18508484 23135605 37016968 46271210 92542420 185084840 384051043 768102086 1536204172 1920255215 3072408344 3840510430 7681020860 12359040191 15362041720 24718080382 49436160764 61795200955 98872321528 123590401910 247180803820 494361607640 1025800335853 2051600671706 4103201343412 5129001679265 8206402686824 10258003358530 20516006717060 41032013434120