Search a number
-
+
128197230480 = 243251189181871
BaseRepresentation
bin111011101100100100…
…1100111111110010000
3110020220021201001202100
41313121021213332100
54100021442333410
6134520515320400
712155563323354
oct1673111477620
9406807631670
10128197230480
114a405aa3770
1220a18bb0100
13c120554cc7
1462c1cb1464
15350495e8c0
hex1dd9267f90

128197230480 has 240 divisors, whose sum is σ = 474947815680. Its totient is φ = 30728755200.

The previous prime is 128197230449. The next prime is 128197230589. The reversal of 128197230480 is 84032791821.

It is a happy number.

128197230480 is a `hidden beast` number, since 1 + 2 + 81 + 97 + 2 + 3 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 613945 + ... + 795815.

It is an arithmetic number, because the mean of its divisors is an integer number (1978949232).

Almost surely, 2128197230480 is an apocalyptic number.

128197230480 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 128197230480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237473907840).

128197230480 is an abundant number, since it is smaller than the sum of its proper divisors (346750585200).

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

128197230480 is a wasteful number, since it uses less digits than its factorization.

128197230480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181990 (or 181981 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 128197230480 in words is "one hundred twenty-eight billion, one hundred ninety-seven million, two hundred thirty thousand, four hundred eighty".