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128840533440 = 2635316436733
BaseRepresentation
bin111011111111101111…
…1101000010111000000
3110022120010012020111220
41313333133220113000
54102331134032230
6135104415435040
712210534315243
oct1677737502700
9408503166456
10128840533440
114a706138803
1220b78525a80
13c1c3902948
1463434cb25a
153541182d10
hex1dff7e85c0

128840533440 has 224 divisors, whose sum is σ = 422983981056. Its totient is φ = 33192529920.

The previous prime is 128840533439. The next prime is 128840533457. The reversal of 128840533440 is 44335048821.

It is a junction number, because it is equal to n+sod(n) for n = 128840533392 and 128840533401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19132314 + ... + 19139046.

It is an arithmetic number, because the mean of its divisors is an integer number (1888321344).

Almost surely, 2128840533440 is an apocalyptic number.

128840533440 is a gapful number since it is divisible by the number (10) 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 128840533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211491990528).

128840533440 is an abundant number, since it is smaller than the sum of its proper divisors (294143447616).

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

128840533440 is a wasteful number, since it uses less digits than its factorization.

128840533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7427 (or 7417 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 128840533440 in words is "one hundred twenty-eight billion, eight hundred forty million, five hundred thirty-three thousand, four hundred forty".