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290959010940 = 2235132359274889
BaseRepresentation
bin1000011101111101000…
…00100010110001111100
31000211000102201012022110
410032332200202301330
514231341001322230
6341355325214020
730010143533553
oct4167640426174
91024012635273
10290959010940
1110243885a414
1248481701310
132158ba29840
14101224dad9a
15787dad74b0
hex43be822c7c

290959010940 has 192 divisors, whose sum is σ = 931019443200. Its totient is φ = 67345360896.

The previous prime is 290959010921. The next prime is 290959011011. The reversal of 290959010940 is 49010959092.

It is a self number, because there is not a number n which added to its sum of digits gives 290959010940.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 921016 + ... + 1195904.

It is an arithmetic number, because the mean of its divisors is an integer number (4849059600).

Almost surely, 2290959010940 is an apocalyptic number.

290959010940 is a gapful number since it is divisible by the number (20) 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 290959010940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465509721600).

290959010940 is an abundant number, since it is smaller than the sum of its proper divisors (640060432260).

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

290959010940 is a wasteful number, since it uses less digits than its factorization.

290959010940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274996 (or 274994 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 48.

The spelling of 290959010940 in words is "two hundred ninety billion, nine hundred fifty-nine million, ten thousand, nine hundred forty".