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20024434144 = 2511132336613
BaseRepresentation
bin10010101001100011…
…001001110111100000
31220200112111122121001
4102221203021313200
5312002223343034
613111001041344
71306136611321
oct225143116740
956615448531
1020024434144
1185462a8830
123a6a186254
131b71781400
14d7d646448
157c2e95a14
hex4a98c9de0

20024434144 has 72 divisors (see below), whose sum is σ = 46569873672. Its totient is φ = 8401835520.

The previous prime is 20024434139. The next prime is 20024434163. The reversal of 20024434144 is 44143442002.

It is a super-3 number, since 3×200244341443 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108819 + ... + 227794.

It is an arithmetic number, because the mean of its divisors is an integer number (646803801).

Almost surely, 220024434144 is an apocalyptic number.

It is an amenable number.

20024434144 is an abundant number, since it is smaller than the sum of its proper divisors (26545439528).

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

20024434144 is a wasteful number, since it uses less digits than its factorization.

20024434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336660 (or 336639 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 20024434144 its reverse (44143442002), we get a palindrome (64167876146).

The spelling of 20024434144 in words is "twenty billion, twenty-four million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 169 176 208 286 338 352 416 572 676 1144 1352 1859 2288 2704 3718 4576 5408 7436 14872 29744 59488 336613 673226 1346452 2692904 3702743 4375969 5385808 7405486 8751938 10771616 14810972 17503876 29621944 35007752 48135659 56887597 59243888 70015504 96271318 113775194 118487776 140031008 192542636 227550388 385085272 455100776 625763567 770170544 910201552 1251527134 1540341088 1820403104 2503054268 5006108536 10012217072 20024434144