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299032045440 = 27351722323431
BaseRepresentation
bin1000101100111111011…
…00101110011110000000
31001120212001112211201020
410112133230232132000
514344404200423230
6345212354305440
730414202306362
oct4263754563600
91046761484636
10299032045440
11105900880757
1249b55288280
132227743172b
141068a776d32
157ba270c810
hex459fb2e780

299032045440 has 384 divisors, whose sum is σ = 1056599493120. Its totient is φ = 71785021440.

The previous prime is 299032045439. The next prime is 299032045451. The reversal of 299032045440 is 44540230992.

299032045440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 299032045392 and 299032045401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12750525 + ... + 12773955.

It is an arithmetic number, because the mean of its divisors is an integer number (2751561180).

Almost surely, 2299032045440 is an apocalyptic number.

299032045440 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 299032045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528299746560).

299032045440 is an abundant number, since it is smaller than the sum of its proper divisors (757567447680).

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

299032045440 is a wasteful number, since it uses less digits than its factorization.

299032045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23510 (or 23481 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 299032045440 in words is "two hundred ninety-nine billion, thirty-two million, forty-five thousand, four hundred forty".