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41331005981 = 1012953138577
BaseRepresentation
bin100110011111100001…
…010001101000011101
310221200102120122110022
4212133201101220131
51134121214142411
630553122521525
72662135516466
oct463741215035
9127612518408
1041331005981
111658a303591
1280158062a5
133b88a55375
14200127dd6d
15111d79dedb
hex99f851a1d

41331005981 has 8 divisors (see below), whose sum is σ = 41754660024. Its totient is φ = 40907635200.

The previous prime is 41331005971. The next prime is 41331005983. The reversal of 41331005981 is 18950013314.

41331005981 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25717253956 + 15613752025 = 160366^2 + 124955^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 41331005981 - 26 = 41331005917 is a prime.

It is a super-2 number, since 2×413310059812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41331005983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228965 + ... + 367541.

It is an arithmetic number, because the mean of its divisors is an integer number (5219332503).

Almost surely, 241331005981 is an apocalyptic number.

It is an amenable number.

41331005981 is a deficient number, since it is larger than the sum of its proper divisors (423654043).

41331005981 is a wasteful number, since it uses less digits than its factorization.

41331005981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141631.

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 41331005981 in words is "forty-one billion, three hundred thirty-one million, five thousand, nine hundred eighty-one".

Divisors: 1 101 2953 138577 298253 13996277 409217881 41331005981