Search a number
-
+
14434040112020 = 22517277911527583
BaseRepresentation
bin1101001000001010111111…
…0101010110001110010100
31220002212210001222011220222
43102002233311112032110
53342441403232041040
650410523445013512
73016552653416504
oct322025765261624
956085701864828
1014434040112020
114665495391a71
1217514b69b4298
1380917c9815b9
1437c87b471a04
151a06e0e6abb5
hexd20afd56394

14434040112020 has 48 divisors (see below), whose sum is σ = 32095688583168. Its totient is φ = 5433792483840.

The previous prime is 14434040112017. The next prime is 14434040112031. The reversal of 14434040112020 is 2021104043441.

14434040112020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8685149 + ... + 10212731.

It is an arithmetic number, because the mean of its divisors is an integer number (668660178816).

Almost surely, 214434040112020 is an apocalyptic number.

14434040112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14434040112020 is an abundant number, since it is smaller than the sum of its proper divisors (17661648471148).

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

14434040112020 is a wasteful number, since it uses less digits than its factorization.

14434040112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555400 (or 1555398 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 14434040112020 its reverse (2021104043441), we get a palindrome (16455144155461).

The spelling of 14434040112020 in words is "fourteen trillion, four hundred thirty-four billion, forty million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 27791 55582 111164 138955 277910 472447 555820 944894 1527583 1889788 2362235 3055166 4724470 6110332 7637915 9448940 15275830 25968911 30551660 51937822 103875644 129844555 259689110 519378220 42453059153 84906118306 169812236612 212265295765 424530591530 721702005601 849061183060 1443404011202 2886808022404 3608510028005 7217020056010 14434040112020