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128423505408 = 2931197127617
BaseRepresentation
bin111011110011010100…
…0110010111000000000
3110021111001111000121020
41313212220302320000
54101002404133113
6134555201225440
712164311533132
oct1674650627000
9407431430536
10128423505408
114a5117a2440
1220a80932280
13c1583ab8b3
146303d73052
153519759023
hex1de6a32e00

128423505408 has 320 divisors, whose sum is σ = 380663635968. Its totient is φ = 38149816320.

The previous prime is 128423505403. The next prime is 128423505421. The reversal of 128423505408 is 804505324821.

It is a self number, because there is not a number n which added to its sum of digits gives 128423505408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128423505403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208141516 + ... + 208142132.

Almost surely, 2128423505408 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 128423505408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190331817984).

128423505408 is an abundant number, since it is smaller than the sum of its proper divisors (252240130560).

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

128423505408 is a wasteful number, since it uses less digits than its factorization.

128423505408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 128423505408 in words is "one hundred twenty-eight billion, four hundred twenty-three million, five hundred five thousand, four hundred eight".