Search a number
-
+
1141750038528 = 216341119553
BaseRepresentation
bin10000100111010101100…
…110110000000000000000
311001011001112010110210000
4100213111212300000000
5122201301002213103
62232302425440000
7145326426125331
oct20472546600000
94034045113700
101141750038528
11400239149970
12165341940000
13838885a6b98
143d392264288
151ea75e22aa3
hex109d59b0000

1141750038528 has 340 divisors, whose sum is σ = 3721421308968. Its totient is φ = 345967165440.

The previous prime is 1141750038503. The next prime is 1141750038547. The reversal of 1141750038528 is 8258300571411.

1141750038528 is a `hidden beast` number, since 1 + 1 + 41 + 7 + 50 + 0 + 38 + 528 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58382800 + ... + 58402352.

Almost surely, 21141750038528 is an apocalyptic number.

1141750038528 is a gapful number since it is divisible by the number (18) 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 1141750038528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860710654484).

1141750038528 is an abundant number, since it is smaller than the sum of its proper divisors (2579671270440).

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

1141750038528 is an frugal number, since it uses more digits than its factorization.

1141750038528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19608 (or 19569 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 1141750038528 in words is "one trillion, one hundred forty-one billion, seven hundred fifty million, thirty-eight thousand, five hundred twenty-eight".