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290380404480 = 2835377327997
BaseRepresentation
bin1000011100111000000…
…01010101011100000000
31000202112002221221110120
410032130001111130000
514224144340420410
6341222055500240
726656616466345
oct4163401253400
91022462857416
10290380404480
11102171193861
124833b987680
13214c8bb175a
14100a97227cc
157847de3570
hex439c055700

290380404480 has 288 divisors, whose sum is σ = 965549331264. Its totient is φ = 74307207168.

The previous prime is 290380404463. The next prime is 290380404481. The reversal of 290380404480 is 84404083092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290380404481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10357842 + ... + 10385838.

Almost surely, 2290380404480 is an apocalyptic number.

290380404480 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 290380404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482774665632).

290380404480 is an abundant number, since it is smaller than the sum of its proper divisors (675168926784).

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

290380404480 is a wasteful number, since it uses less digits than its factorization.

290380404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28131 (or 28117 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 290380404480 in words is "two hundred ninety billion, three hundred eighty million, four hundred four thousand, four hundred eighty".