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2144051205024 = 25327827802597
BaseRepresentation
bin11111001100110011011…
…010010001001110100000
321120222011121121021020210
4133030303122101032200
5240112004102030044
64320544042134120
7310621405354521
oct37146332211640
97528147537223
102144051205024
11757318012253
122a76464b1340
1312724c5357b1
1475ab6160848
153ab896db1b9
hex1f3336913a0

2144051205024 has 48 divisors (see below), whose sum is σ = 5628343680288. Its totient is φ = 714657161472.

The previous prime is 2144051205011. The next prime is 2144051205029. The reversal of 2144051205024 is 4205021504412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2144051204982 and 2144051205000.

It is not an unprimeable number, because it can be changed into a prime (2144051205029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2270094 + ... + 3072690.

It is an arithmetic number, because the mean of its divisors is an integer number (117257160006).

Almost surely, 22144051205024 is an apocalyptic number.

2144051205024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2144051205024 is an abundant number, since it is smaller than the sum of its proper divisors (3484292475264).

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

2144051205024 is a wasteful number, since it uses less digits than its factorization.

2144051205024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830437 (or 830429 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 2144051205024 its reverse (4205021504412), we get a palindrome (6349072709436).

The spelling of 2144051205024 in words is "two trillion, one hundred forty-four billion, fifty-one million, two hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 27827 55654 83481 111308 166962 222616 333924 445232 667848 802597 890464 1335696 1605194 2407791 2671392 3210388 4815582 6420776 9631164 12841552 19262328 25683104 38524656 77049312 22333866719 44667733438 67001600157 89335466876 134003200314 178670933752 268006400628 357341867504 536012801256 714683735008 1072025602512 2144051205024