Search a number
-
+
11114440144434 = 23211616287146369
BaseRepresentation
bin1010000110111100100001…
…0000011011011000110010
31110100112022102222100210100
42201233020100123120302
52424044333134110214
635345523041013230
72224664121311304
oct241571020333062
943315272870710
1011114440144434
1135a5675788280
1212b6077624216
1362811979b453
142a5d28323974
151441a34ba309
hexa1bc841b632

11114440144434 has 96 divisors (see below), whose sum is σ = 26705588232960. Its totient is φ = 3312249292800.

The previous prime is 11114440144397. The next prime is 11114440144439. The reversal of 11114440144434 is 43444104441111.

11114440144434 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 44 + 40 + 144 + 434 = 666.

It is not an unprimeable number, because it can be changed into a prime (11114440144439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75861202 + ... + 76007570.

It is an arithmetic number, because the mean of its divisors is an integer number (278183210760).

Almost surely, 211114440144434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11114440144434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13352794116480).

11114440144434 is an abundant number, since it is smaller than the sum of its proper divisors (15591148088526).

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

11114440144434 is a wasteful number, since it uses less digits than its factorization.

11114440144434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152736 (or 152733 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 11114440144434 its reverse (43444104441111), we get a palindrome (54558544585545).

The spelling of 11114440144434 in words is "eleven trillion, one hundred fourteen billion, four hundred forty million, one hundred forty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 366 549 671 1098 1342 2013 4026 6039 6287 12078 12574 18861 37722 56583 69157 113166 138314 146369 207471 292738 383507 414942 439107 622413 767014 878214 1150521 1244826 1317321 1610059 2301042 2634642 3220118 3451563 4218577 4830177 6903126 8437154 8928509 9660354 12655731 14490531 17857018 25311462 26785527 28981062 37967193 53571054 75934386 80356581 98213599 160713162 196427198 294640797 589281594 883922391 920221903 1767844782 1840443806 2760665709 5521331418 8281997127 10122440933 16563994254 20244881866 30367322799 56133536083 60734645598 91101968397 112267072166 168400608249 182203936794 336801216498 505201824747 617468896913 1010403649494 1234937793826 1852406690739 3704813381478 5557220072217 11114440144434