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303428232128 = 2673159675527
BaseRepresentation
bin1000110101001011011…
…10110110001111000000
31002000012102202021010102
410122211232312033000
514432410111412003
6351220520021532
730631143263240
oct4324556661700
91060172667112
10303428232128
1110775736589a
124a9816018a8
13227c815ab28
141098657bb20
157d5d641588
hex46a5bb63c0

303428232128 has 224 divisors, whose sum is σ = 733283450880. Its totient is φ = 121844321280.

The previous prime is 303428232103. The next prime is 303428232161. The reversal of 303428232128 is 821232824303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 303428232091 and 303428232100.

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 31 ways as a sum of consecutive naturals, for example, 54896501 + ... + 54902027.

Almost surely, 2303428232128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303428232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366641725440).

303428232128 is an abundant number, since it is smaller than the sum of its proper divisors (429855218752).

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

303428232128 is a wasteful number, since it uses less digits than its factorization.

303428232128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5703 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 303428232128 in words is "three hundred three billion, four hundred twenty-eight million, two hundred thirty-two thousand, one hundred twenty-eight".