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21244444444212 = 22311160942760941
BaseRepresentation
bin1001101010010010110111…
…00100001000011000110100
32210012221121212020022102120
410311021123210020120310
510241032110234203322
6113103321341235540
74321601065202013
oct465113344103064
983187555208376
1021244444444212
11685079a057960
122471395562bb0
13bb145b675632
1453634531aa7a
1526c93b820a5c
hex13525b908634

21244444444212 has 24 divisors (see below), whose sum is σ = 54076767676512. Its totient is φ = 6437710437600.

The previous prime is 21244444444189. The next prime is 21244444444243.

21244444444212 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×212444444442123 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80471380339 + ... + 80471380602.

It is an arithmetic number, because the mean of its divisors is an integer number (2253198653188).

Almost surely, 221244444444212 is an apocalyptic number.

21244444444212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21244444444212 is an abundant number, since it is smaller than the sum of its proper divisors (32832323232300).

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

21244444444212 is a wasteful number, since it uses less digits than its factorization.

21244444444212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160942760959 (or 160942760957 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 42.

It can be divided in two parts, 2124444 and 4444212, that added together give a palindrome (6568656).

The spelling of 21244444444212 in words is "twenty-one trillion, two hundred forty-four billion, four hundred forty-four million, four hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 160942760941 321885521882 482828282823 643771043764 965656565646 1770370370351 1931313131292 3540740740702 5311111111053 7081481481404 10622222222106 21244444444212