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1840855511040 = 212357132193143
BaseRepresentation
bin11010110010011011100…
…010011111000000000000
320111222120101102011111020
4122302123202133000000
5220130033002323130
63525402150145440
7246666054445110
oct32623342370000
96458511364436
101840855511040
1164a77aa43847
1225892a952280
13104790615300
1465152835040
1532d416cee10
hex1ac9b89f000

1840855511040 has 2496 divisors, whose sum is σ = 8104419164160. Its totient is φ = 347807416320.

The previous prime is 1840855511029. The next prime is 1840855511041. The reversal of 1840855511040 is 401155580481.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1840855510983 and 1840855511001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1840855511041) 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 191 ways as a sum of consecutive naturals, for example, 42810593259 + ... + 42810593301.

Almost surely, 21840855511040 is an apocalyptic number.

1840855511040 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 1840855511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052209582080).

1840855511040 is an abundant number, since it is smaller than the sum of its proper divisors (6263563653120).

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

1840855511040 is a wasteful number, since it uses less digits than its factorization.

1840855511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 42.

The spelling of 1840855511040 in words is "one trillion, eight hundred forty billion, eight hundred fifty-five million, five hundred eleven thousand, forty".