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290116382941 = 72111543348833
BaseRepresentation
bin1000011100011000100…
…10001011000011011101
31000201211201011021000001
410032030102023003131
514223124243223231
6341135544534301
726650232365300
oct4161422130335
91021751137001
10290116382941
11102046153540
1248287481391
132148629cba8
1410082636b37
15782eb3eb61
hex438c48b0dd

290116382941 has 24 divisors (see below), whose sum is σ = 368402192064. Its totient is φ = 225917556480.

The previous prime is 290116382939. The next prime is 290116382999. The reversal of 290116382941 is 149283611092.

It is not a de Polignac number, because 290116382941 - 21 = 290116382939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 290116382891 and 290116382900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290116380941) 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 23 ways as a sum of consecutive naturals, for example, 657261 + ... + 1006093.

It is an arithmetic number, because the mean of its divisors is an integer number (15350091336).

Almost surely, 2290116382941 is an apocalyptic number.

It is an amenable number.

290116382941 is a deficient number, since it is larger than the sum of its proper divisors (78285809123).

290116382941 is a wasteful number, since it uses less digits than its factorization.

290116382941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350401 (or 350394 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 290116382941 in words is "two hundred ninety billion, one hundred sixteen million, three hundred eighty-two thousand, nine hundred forty-one".

Divisors: 1 7 11 49 77 539 1543 10801 16973 75607 118811 348833 831677 2441831 3837163 17092817 26860141 188020987 538249319 3767745233 5920742509 26374216631 41445197563 290116382941