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2023344141444 = 223229266829969
BaseRepresentation
bin11101011100011000101…
…101010111010010000100
321011102121022222002212100
4131130120231113102010
5231122302100011234
64145302250552100
7266116232301333
oct35343055272204
97142538862770
102023344141444
1171010602386a
12288179a38630
13118a53a07c12
146dd04d61d1a
153797261a399
hex1d718b57484

2023344141444 has 54 divisors (see below), whose sum is σ = 5297010252170. Its totient is φ = 651191208192.

The previous prime is 2023344141437. The next prime is 2023344141487. The reversal of 2023344141444 is 4441414433202.

2023344141444 is a `hidden beast` number, since 2 + 0 + 2 + 33 + 44 + 141 + 444 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 161314689600 + 1862029451844 = 401640^2 + 1364562^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2023344141399 and 2023344141408.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33384709 + ... + 33445260.

Almost surely, 22023344141444 is an apocalyptic number.

It is an amenable number.

2023344141444 is an abundant number, since it is smaller than the sum of its proper divisors (3273666110726).

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

2023344141444 is a wasteful number, since it uses less digits than its factorization.

2023344141444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66830037 (or 66830003 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 2023344141444 its reverse (4441414433202), we get a palindrome (6464758574646).

The spelling of 2023344141444 in words is "two trillion, twenty-three billion, three hundred forty-four million, one hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 3364 5046 7569 10092 15138 30276 66829969 133659938 200489907 267319876 400979814 601469721 801959628 1202939442 1938069101 2405878884 3876138202 5814207303 7752276404 11628414606 17442621909 23256829212 34885243818 56204003929 69770487636 112408007858 168612011787 224816015716 337224023574 505836035361 674448047148 1011672070722 2023344141444