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2021014144 = 27831811051
BaseRepresentation
bin111100001110110…
…0011101010000000
312012211220011012201
41320131203222000
513114334423034
6532313202544
7101040223342
oct17035435200
95184804181
102021014144
1194789a926
12484a00454
13262924276
141525a9292
15bc664014
hex78763a80

2021014144 has 64 divisors (see below), whose sum is σ = 4101158880. Its totient is φ = 991872000.

The previous prime is 2021014139. The next prime is 2021014157. The reversal of 2021014144 is 4414101202.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1922419 + ... + 1923469.

Almost surely, 22021014144 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 2021014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050579440).

2021014144 is an abundant number, since it is smaller than the sum of its proper divisors (2080144736).

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

2021014144 is a wasteful number, since it uses less digits than its factorization.

2021014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2021014144 is about 44955.6908967041. The cubic root of 2021014144 is about 1264.3183783800.

Adding to 2021014144 its reverse (4414101202), we get a palindrome (6435115346).

The spelling of 2021014144 in words is "two billion, twenty-one million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 83 128 166 181 332 362 664 724 1051 1328 1448 2102 2656 2896 4204 5312 5792 8408 10624 11584 15023 16816 23168 30046 33632 60092 67264 87233 120184 134528 174466 190231 240368 348932 380462 480736 697864 760924 961472 1395728 1521848 1922944 2791456 3043696 5582912 6087392 11165824 12174784 15789173 24349568 31578346 63156692 126313384 252626768 505253536 1010507072 2021014144