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128043150144 = 2637132577977
BaseRepresentation
bin111011100111111110…
…1110110101101000000
3110020111112202222021020
41313033331312231000
54044213021301034
6134453333025440
712152012550510
oct1671775665500
9406445688236
10128043150144
114a337024948
1220995485280
13c0c7657b00
1462a9643840
1534e6176249
hex1dcff76b40

128043150144 has 336 divisors, whose sum is σ = 420408494208. Its totient is φ = 33676591104.

The previous prime is 128043150127. The next prime is 128043150223. The reversal of 128043150144 is 441051340821.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 131056984 + ... + 131057960.

Almost surely, 2128043150144 is an apocalyptic number.

128043150144 is a gapful number since it is divisible by the number (14) 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 128043150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210204247104).

128043150144 is an abundant number, since it is smaller than the sum of its proper divisors (292365344064).

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

128043150144 is a wasteful number, since it uses less digits than its factorization.

128043150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 128043150144 its reverse (441051340821), we get a palindrome (569094490965).

The spelling of 128043150144 in words is "one hundred twenty-eight billion, forty-three million, one hundred fifty thousand, one hundred forty-four".