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21344114112 = 2631493112399
BaseRepresentation
bin10011111000001101…
…010101010111000000
32001002111201100011220
4103320031111113000
5322203043122422
613445542235040
71353632655636
oct237015252700
961074640156
1021344114112
119063217932
124178125a80
132021cb9c29
141066a0b356
1584dc71e5c
hex4f83555c0

21344114112 has 112 divisors (see below), whose sum is σ = 57058560000. Its totient is φ = 7041295360.

The previous prime is 21344114107. The next prime is 21344114177. The reversal of 21344114112 is 21141144312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 8895889 + ... + 8898287.

Almost surely, 221344114112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21344114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28529280000).

21344114112 is an abundant number, since it is smaller than the sum of its proper divisors (35714445888).

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

21344114112 is a wasteful number, since it uses less digits than its factorization.

21344114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2864 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 21344114112 its reverse (21141144312), we get a palindrome (42485258424).

The spelling of 21344114112 in words is "twenty-one billion, three hundred forty-four million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 311 447 596 622 894 933 1192 1244 1788 1866 2384 2399 2488 3576 3732 4768 4798 4976 7152 7197 7464 9536 9596 9952 14304 14394 14928 19192 19904 28608 28788 29856 38384 46339 57576 59712 76768 92678 115152 139017 153536 185356 230304 278034 357451 370712 460608 556068 714902 741424 746089 1072353 1112136 1429804 1482848 1492178 2144706 2224272 2238267 2859608 2965696 2984356 4289412 4448544 4476534 5719216 5968712 8578824 8897088 8953068 11438432 11937424 17157648 17906136 22876864 23874848 34315296 35812272 47749696 68630592 71624544 111167261 143249088 222334522 333501783 444669044 667003566 889338088 1334007132 1778676176 2668014264 3557352352 5336028528 7114704704 10672057056 21344114112