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11321311440054 = 23721114872354213
BaseRepresentation
bin1010010010111111001010…
…1111110010110010110110
31111002022021122211000212010
42210233302233302302312
52440442021212040204
640024534430505050
72245636436311200
oct244576257626266
944068248730763
1011321311440054
113675383186590
12132a190365186
1364179753c705
142b1d50c1b770
1514975ecd3d89
hexa4bf2bf2cb6

11321311440054 has 96 divisors (see below), whose sum is σ = 28753202105856. Its totient is φ = 2938621586880.

The previous prime is 11321311440029. The next prime is 11321311440083. The reversal of 11321311440054 is 45004411312311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3631852 + ... + 5986064.

It is an arithmetic number, because the mean of its divisors is an integer number (299512521936).

Almost surely, 211321311440054 is an apocalyptic number.

11321311440054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11321311440054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14376601052928).

11321311440054 is an abundant number, since it is smaller than the sum of its proper divisors (17431890665802).

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

11321311440054 is a wasteful number, since it uses less digits than its factorization.

11321311440054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355730 (or 2355723 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 11321311440054 its reverse (45004411312311), we get a palindrome (56325722752365).

The spelling of 11321311440054 in words is "eleven trillion, three hundred twenty-one billion, three hundred eleven million, four hundred forty thousand, fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1487 1617 2974 3234 4461 8922 10409 16357 20818 31227 32714 49071 62454 72863 98142 114499 145726 218589 228998 343497 437178 686994 801493 1602986 2354213 2404479 4708426 4808958 7062639 14125278 16479491 25896343 32958982 49438473 51792686 77689029 98876946 115356437 155378058 181274401 230712874 346069311 362548802 543823203 692138622 1087646406 1268920807 2537841614 3500714731 3806762421 7001429462 7613524842 10502144193 21004288386 24505003117 38507862041 49010006234 73515009351 77015724082 115523586123 147030018702 171535021819 231047172246 269555034287 343070043638 514605065457 539110068574 808665102861 1029210130914 1617330205722 1886885240009 3773770480018 5660655720027 11321311440054