Search a number
-
+
12434415044401 = 73676085979531
BaseRepresentation
bin1011010011110001110011…
…1001000100011100110001
31122000201101202121212111101
42310330130321010130301
53112211140222410101
642240142540044401
72422233252656650
oct264743471043461
948021352555441
1012434415044401
113a64451145459
121489a58533701
136c2738cc290c
1430db866dd197
151686aad4e401
hexb4f1ce44731

12434415044401 has 16 divisors (see below), whose sum is σ = 14249894778880. Its totient is φ = 10628720681040.

The previous prime is 12434415044213. The next prime is 12434415044459. The reversal of 12434415044401 is 10444051443421.

12434415044401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12434415044401 - 29 = 12434415043889 is a prime.

It is a super-2 number, since 2×124344150444012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12434415048401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156307006 + ... + 156386536.

It is an arithmetic number, because the mean of its divisors is an integer number (890618423680).

Almost surely, 212434415044401 is an apocalyptic number.

It is an amenable number.

12434415044401 is a deficient number, since it is larger than the sum of its proper divisors (1815479734479).

12434415044401 is an equidigital number, since it uses as much as digits as its factorization.

12434415044401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140764.

The product of its (nonzero) digits is 122880, while the sum is 37.

Adding to 12434415044401 its reverse (10444051443421), we get a palindrome (22878466487822).

The spelling of 12434415044401 in words is "twelve trillion, four hundred thirty-four billion, four hundred fifteen million, forty-four thousand, four hundred one".

Divisors: 1 7 367 2569 60859 79531 426013 556717 22335253 29187877 156346771 204315139 4840177129 33881239903 1776345006343 12434415044401