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290811749144 = 2372741866707
BaseRepresentation
bin1000011101101011011…
…10110010001100011000
31000210122011121112002212
410032311232302030120
514231040301433034
6341332545014252
730003405040100
oct4166556621430
91023564545085
10290811749144
11102372718454
1248440324388
1321567379097
141010ab26200
157870be92ce
hex43b5bb2318

290811749144 has 24 divisors (see below), whose sum is σ = 634296035340. Its totient is φ = 124633606608.

The previous prime is 290811749141. The next prime is 290811749153. The reversal of 290811749144 is 441947118092.

It is a super-3 number, since 3×2908117491443 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 290811749092 and 290811749101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290811749141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 370932962 + ... + 370933745.

Almost surely, 2290811749144 is an apocalyptic number.

It is an amenable number.

290811749144 is an abundant number, since it is smaller than the sum of its proper divisors (343484286196).

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

290811749144 is a wasteful number, since it uses less digits than its factorization.

290811749144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741866727 (or 741866716 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The spelling of 290811749144 in words is "two hundred ninety billion, eight hundred eleven million, seven hundred forty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 741866707 1483733414 2967466828 5193066949 5934933656 10386133898 20772267796 36351468643 41544535592 72702937286 145405874572 290811749144