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242133543500440 = 2356053338587511
BaseRepresentation
bin110111000011100000011011…
…110110010011101010011000
31011202022201222222001122020211
4313003200123312103222120
5223214103444114003230
62214550340403300504
7102000366634041004
oct6703403366235230
91152281888048224
10242133543500440
1170173293996699
12231a712997a734
13a51513114ca47
1443b147c8db704
151ced6b0c4d42a
hexdc381bd93a98

242133543500440 has 16 divisors (see below), whose sum is σ = 544800472876080. Its totient is φ = 96853417400160.

The previous prime is 242133543500419. The next prime is 242133543500449. The reversal of 242133543500440 is 44005345331242.

242133543500440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 6053338587511 = 242133543500440 / (2 + 4 + 2 + 1 + 3 + 3 + 5 + 4 + 3 + 5 + 0 + 0 + 4 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 242133543500393 and 242133543500402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242133543500449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3026669293716 + ... + 3026669293795.

It is an arithmetic number, because the mean of its divisors is an integer number (34050029554755).

Almost surely, 2242133543500440 is an apocalyptic number.

242133543500440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242133543500440 is an abundant number, since it is smaller than the sum of its proper divisors (302666929375640).

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

242133543500440 is a wasteful number, since it uses less digits than its factorization.

242133543500440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6053338587522 (or 6053338587518 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 242133543500440 its reverse (44005345331242), we get a palindrome (286138888831682).

The spelling of 242133543500440 in words is "two hundred forty-two trillion, one hundred thirty-three billion, five hundred forty-three million, five hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 6053338587511 12106677175022 24213354350044 30266692937555 48426708700088 60533385875110 121066771750220 242133543500440