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294272004840 = 2335112166912143
BaseRepresentation
bin1000100100000111111…
…10100111001011101000
31001010120022200201120020
410102003332213023220
514310132113123330
6343104154200440
730155222525112
oct4220376471350
91033508621506
10294272004840
11103888969800
1249047123120
132199920b368
14103584da3b2
1579c48a5210
hex4483fa72e8

294272004840 has 192 divisors, whose sum is σ = 971029382400. Its totient is φ = 71290053120.

The previous prime is 294272004809. The next prime is 294272004857. The reversal of 294272004840 is 48400272492.

It is a junction number, because it is equal to n+sod(n) for n = 294272004792 and 294272004801.

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 47 ways as a sum of consecutive naturals, for example, 24227809 + ... + 24239951.

It is an arithmetic number, because the mean of its divisors is an integer number (5057444700).

Almost surely, 2294272004840 is an apocalyptic number.

294272004840 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 294272004840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485514691200).

294272004840 is an abundant number, since it is smaller than the sum of its proper divisors (676757377560).

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

294272004840 is a wasteful number, since it uses less digits than its factorization.

294272004840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13848 (or 13833 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 294272004840 in words is "two hundred ninety-four billion, two hundred seventy-two million, four thousand, eight hundred forty".