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21343455434312 = 2311238543572063
BaseRepresentation
bin1001101101001011010010…
…00101000101011001001000
32210120102012002212202010222
410312211221011011121020
510244142344042344222
6113221014214325212
74332004502551514
oct466455105053110
983512162782128
1021343455434312
116889788196200
122488608059808
13bba8aa2c52cb
1453b058c91144
152702d3cea542
hex136969145648

21343455434312 has 48 divisors (see below), whose sum is σ = 43989021457920. Its totient is φ = 9701301985760.

The previous prime is 21343455434309. The next prime is 21343455434321.

21343455434312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 37023593 + ... + 37595655.

It is an arithmetic number, because the mean of its divisors is an integer number (916437947040).

Almost surely, 221343455434312 is an apocalyptic number.

21343455434312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21343455434312 is an abundant number, since it is smaller than the sum of its proper divisors (22645566023608).

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

21343455434312 is a wasteful number, since it uses less digits than its factorization.

21343455434312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610634 (or 610619 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

It can be divided in two parts, 2134345 and 5434312, that added together give a palindrome (7568657).

The spelling of 21343455434312 in words is "twenty-one trillion, three hundred forty-three billion, four hundred fifty-five million, four hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 38543 77086 154172 308344 423973 572063 847946 1144126 1695892 2288252 3391784 4576504 4663703 6292693 9327406 12585386 18654812 25170772 37309624 50341544 69219623 138439246 276878492 553756984 22049024209 44098048418 88196096836 176392193672 242539266299 485078532598 970157065196 1940314130392 2667931929289 5335863858578 10671727717156 21343455434312