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21143622634112 = 271190911651829
BaseRepresentation
bin1001100111010111000100…
…00111011100101010000000
32202212022101102012200122202
410303223202013130222000
510232404114343242422
6112545125100052332
74311401452021466
oct463534207345200
982768342180582
1021143622634112
116811a61844760
1224559385340a8
13ba4ab1817a34
145314dd094836
15269eda3a1b92
hex133ae21dca80

21143622634112 has 64 divisors (see below), whose sum is σ = 45956421381600. Its totient is φ = 9609674572800.

The previous prime is 21143622634103. The next prime is 21143622634117.

21143622634112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (21143622634117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11974214 + ... + 13626042.

Almost surely, 221143622634112 is an apocalyptic number.

21143622634112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21143622634112 is an abundant number, since it is smaller than the sum of its proper divisors (24812798747488).

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

21143622634112 is a wasteful number, since it uses less digits than its factorization.

21143622634112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660945 (or 1660933 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

It can be divided in two parts, 2114362 and 2634112, that added together give a palindrome (4748474).

The spelling of 21143622634112 in words is "twenty-one trillion, one hundred forty-three billion, six hundred twenty-two million, six hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 9091 18182 36364 72728 100001 145456 200002 290912 400004 581824 800008 1163648 1600016 1651829 3200032 3303658 6400064 6607316 12800128 13214632 18170119 26429264 36340238 52858528 72680476 105717056 145360952 211434112 290721904 581443808 1162887616 2325775232 15016777439 30033554878 60067109756 120134219512 165184551829 240268439024 330369103658 480536878048 660738207316 961073756096 1321476414632 1922147512192 2642952829264 5285905658528 10571811317056 21143622634112