Search a number
-
+
11144074146231 = 313814735073707
BaseRepresentation
bin1010001000101010111010…
…0101001011000110110111
31110110100210200120122000110
42202022232211023012313
52430041030440134411
635411303400314103
72230063355212065
oct242125645130667
943410720518013
1011144074146231
1136071a236a454
1212bb967a72933
1362ab60098560
142a7539cd9035
15144d39dea2a6
hexa22ae94b1b7

11144074146231 has 16 divisors (see below), whose sum is σ = 16003712075904. Its totient is φ = 6857049817824.

The previous prime is 11144074146133. The next prime is 11144074146281. The reversal of 11144074146231 is 13264147044111.

It is a happy number.

11144074146231 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 11144074146231 - 214 = 11144074129847 is a prime.

It is a super-3 number, since 3×111440741462313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11144074146231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144074146281) 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, 17219121 + ... + 17854586.

It is an arithmetic number, because the mean of its divisors is an integer number (1000232004744).

Almost surely, 211144074146231 is an apocalyptic number.

11144074146231 is a deficient number, since it is larger than the sum of its proper divisors (4859637929673).

11144074146231 is a wasteful number, since it uses less digits than its factorization.

11144074146231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35081870.

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 11144074146231 in words is "eleven trillion, one hundred forty-four billion, seventy-four million, one hundred forty-six thousand, two hundred thirty-one".

Divisors: 1 3 13 39 8147 24441 105911 317733 35073707 105221121 455958191 1367874573 285745490929 857236472787 3714691382077 11144074146231