Search a number
-
+
20440414512 = 24327113179453
BaseRepresentation
bin10011000010010101…
…111111100100110000
31221202112020122101100
4103002111333210300
5313330221231022
613220141004400
71322350441140
oct230225774460
957675218340
1020440414512
11873a098a61
123b65553700
131c099c963b
14dbc9aa920
157e97641ac
hex4c257f930

20440414512 has 120 divisors (see below), whose sum is σ = 65955805344. Its totient is φ = 5788403712.

The previous prime is 20440414493. The next prime is 20440414517. The reversal of 20440414512 is 21541404402.

20440414512 is a `hidden beast` number, since 204 + 4 + 0 + 4 + 1 + 451 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (20440414517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24178 + ... + 203630.

Almost surely, 220440414512 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 20440414512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32977902672).

20440414512 is an abundant number, since it is smaller than the sum of its proper divisors (45515390832).

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

20440414512 is a wasteful number, since it uses less digits than its factorization.

20440414512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179587 (or 179578 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 20440414512 its reverse (21541404402), we get a palindrome (41981818914).

The spelling of 20440414512 in words is "twenty billion, four hundred forty million, four hundred fourteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 113 126 144 168 226 252 336 339 452 504 678 791 904 1008 1017 1356 1582 1808 2034 2373 2712 3164 4068 4746 5424 6328 7119 8136 9492 12656 14238 16272 18984 28476 37968 56952 113904 179453 358906 538359 717812 1076718 1256171 1435624 1615077 2153436 2512342 2871248 3230154 3768513 4306872 5024684 6460308 7537026 8613744 10049368 11305539 12920616 15074052 20098736 20278189 22611078 25841232 30148104 40556378 45222156 60296208 60834567 81112756 90444312 121669134 141947323 162225512 180888624 182503701 243338268 283894646 324451024 365007402 425841969 486676536 567789292 730014804 851683938 973353072 1135578584 1277525907 1460029608 1703367876 2271157168 2555051814 2920059216 3406735752 5110103628 6813471504 10220207256 20440414512