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300039922080 = 253254116730431
BaseRepresentation
bin1000101110110111100…
…01011110000110100000
31001200110022001021112200
410113123301132012200
514403440210001310
6345500400453200
730451161154263
oct4273361360640
91050408037480
10300039922080
11106278794358
124a19691a200
13223a8198b42
1410744574cda
157c10e479c0
hex45dbc5e1a0

300039922080 has 288 divisors, whose sum is σ = 1055174335488. Its totient is φ = 77589196800.

The previous prime is 300039922079. The next prime is 300039922099. The reversal of 300039922080 is 80229930003.

It is a Cunningham number, because it is equal to 5477592-1.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9844465 + ... + 9874895.

It is an arithmetic number, because the mean of its divisors is an integer number (3663799776).

Almost surely, 2300039922080 is an apocalyptic number.

300039922080 is a gapful number since it is divisible by the number (30) 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 300039922080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527587167744).

300039922080 is an abundant number, since it is smaller than the sum of its proper divisors (755134413408).

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

300039922080 is a wasteful number, since it uses less digits than its factorization.

300039922080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30660 (or 30649 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 300039922080 in words is "three hundred billion, thirty-nine million, nine hundred twenty-two thousand, eighty".