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40994100901 = 1337611397161
BaseRepresentation
bin100110001011011100…
…000101011010100101
310220210221122002120101
4212023130011122211
51132423442212101
630455445504101
72650605052105
oct461334053245
9126727562511
1040994100901
1116427112836
127b40a12031
133b34005650
141dac621205
1510ede00401
hex98b7056a5

40994100901 has 16 divisors (see below), whose sum is σ = 46083991408. Its totient is φ = 36214387200.

The previous prime is 40994100877. The next prime is 40994100937. The reversal of 40994100901 is 10900149904.

It is a Cunningham number, because it is equal to 2024702+1.

It can be written as a sum of positive squares in 8 ways, for example, as 170302500 + 40823798401 = 13050^2 + 202049^2 .

It is a cyclic number.

It is not a de Polignac number, because 40994100901 - 27 = 40994100773 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40994100941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669240 + ... + 727921.

It is an arithmetic number, because the mean of its divisors is an integer number (2880249463).

Almost surely, 240994100901 is an apocalyptic number.

It is an amenable number.

40994100901 is a deficient number, since it is larger than the sum of its proper divisors (5089890507).

40994100901 is a wasteful number, since it uses less digits than its factorization.

40994100901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397272.

The product of its (nonzero) digits is 11664, while the sum is 37.

The spelling of 40994100901 in words is "forty billion, nine hundred ninety-four million, one hundred thousand, nine hundred one".

Divisors: 1 13 37 61 481 793 2257 29341 1397161 18163093 51694957 85226821 672034441 1107948673 3153392377 40994100901