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2042144244 = 2233717198363
BaseRepresentation
bin111100110111000…
…1010010111110100
312021022122200021000
41321232022113310
513140242103434
6534350123300
7101414640210
oct17156122764
95238580230
102042144244
11958812218
1248bab0530
13267111b9a
14155309940
15be439b99
hex79b8a5f4

2042144244 has 192 divisors, whose sum is σ = 6744729600. Its totient is φ = 520183296.

The previous prime is 2042144239. The next prime is 2042144281. The reversal of 2042144244 is 4424412402.

2042144244 is a `hidden beast` number, since 20 + 4 + 214 + 424 + 4 = 666.

It is a super-3 number, since 3×20421442443 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240007 + ... + 248369.

It is an arithmetic number, because the mean of its divisors is an integer number (35128800).

Almost surely, 22042144244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042144244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372364800).

2042144244 is an abundant number, since it is smaller than the sum of its proper divisors (4702585356).

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

2042144244 is a wasteful number, since it uses less digits than its factorization.

2042144244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8419 (or 8411 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 2042144244 is about 45190.0901083412. The cubic root of 2042144244 is about 1268.7093433096.

Adding to 2042144244 its reverse (4424412402), we get a palindrome (6466556646).

The spelling of 2042144244 in words is "two billion, forty-two million, one hundred forty-four thousand, two hundred forty-four".