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21214144141212 = 22311179453718423
BaseRepresentation
bin1001101001011010011011…
…00001101001011110011100
32210010001102011212102210010
410310231031201221132130
510240033031400004322
6113041350540443220
74316446160652141
oct464551541513634
983101364772703
1021214144141212
116839960352830
122467539b49510
13bab640007869
14534aad0603c8
1526bc6667820c
hex134b4d86979c

21214144141212 has 48 divisors (see below), whose sum is σ = 57176089028352. Its totient is φ = 6050379790080.

The previous prime is 21214144141187. The next prime is 21214144141241.

It is a happy number.

21214144141212 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21214144141212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4726856968 + ... + 4726861455.

It is an arithmetic number, because the mean of its divisors is an integer number (1191168521424).

Almost surely, 221214144141212 is an apocalyptic number.

21214144141212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21214144141212 is an abundant number, since it is smaller than the sum of its proper divisors (35961944887140).

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

21214144141212 is a wasteful number, since it uses less digits than its factorization.

21214144141212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9453718458 (or 9453718456 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

It can be divided in two parts, 2121414 and 4141212, that added together give a palindrome (6262626).

The spelling of 21214144141212 in words is "twenty-one trillion, two hundred fourteen billion, one hundred forty-four million, one hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 9453718423 18907436846 28361155269 37814873692 56722310538 103990902653 113444621076 160713213191 207981805306 311972707959 321426426382 415963610612 482139639573 623945415918 642852852764 964279279146 1247890831836 1767845345101 1928558558292 3535690690202 5303536035303 7071381380404 10607072070606 21214144141212