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290474409984 = 2143111075021
BaseRepresentation
bin1000011101000011001…
…11111100000000000000
31000202202122211220202220
410032201213330000000
514224342422104414
6341235254411040
726662140514023
oct4164147740000
91022678756686
10290474409984
1110220a260560
1248367360a80
1321512506905
14100b7dd31ba
1578512b1ca9
hex43a19fc000

290474409984 has 240 divisors, whose sum is σ = 853057650816. Its totient is φ = 87182540800.

The previous prime is 290474409977. The next prime is 290474409989. The reversal of 290474409984 is 489904474092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290474409989) 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, 57849394 + ... + 57854414.

Almost surely, 2290474409984 is an apocalyptic number.

290474409984 is a gapful number since it is divisible by the number (24) 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 290474409984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426528825408).

290474409984 is an abundant number, since it is smaller than the sum of its proper divisors (562583240832).

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

290474409984 is a wasteful number, since it uses less digits than its factorization.

290474409984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 290474409984 in words is "two hundred ninety billion, four hundred seventy-four million, four hundred nine thousand, nine hundred eighty-four".