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21214214340 = 22351146036983
BaseRepresentation
bin10011110000011101…
…110011100011000100
32000202110021202012020
4103300131303203010
5321421314324330
613425022123140
71350464563254
oct236035634304
960673252166
1021214214340
118aa6964250
1241407204b0
132001107c67
141053675964
15842663210
hex4f07738c4

21214214340 has 96 divisors (see below), whose sum is σ = 64823141376. Its totient is φ = 5140986240.

The previous prime is 21214214323. The next prime is 21214214341. The reversal of 21214214340 is 4341241212.

It is a self number, because there is not a number n which added to its sum of digits gives 21214214340.

It is not an unprimeable number, because it can be changed into a prime (21214214341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3034489 + ... + 3041471.

It is an arithmetic number, because the mean of its divisors is an integer number (675241056).

Almost surely, 221214214340 is an apocalyptic number.

21214214340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21214214340 is an abundant number, since it is smaller than the sum of its proper divisors (43608927036).

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

21214214340 is a wasteful number, since it uses less digits than its factorization.

21214214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11609 (or 11607 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21214214340 its reverse (4341241212), we get a palindrome (25555455552).

The spelling of 21214214340 in words is "twenty-one billion, two hundred fourteen million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 4603 6983 9206 13809 13966 18412 20949 23015 27618 27932 34915 41898 46030 50633 55236 69045 69830 76813 83796 92060 101266 104745 138090 139660 151899 153626 202532 209490 230439 253165 276180 303798 307252 384065 418980 460878 506330 607596 759495 768130 921756 1012660 1152195 1518990 1536260 2304390 3037980 4608780 32142749 64285498 96428247 128570996 160713745 192856494 321427490 353570239 385712988 482141235 642854980 707140478 964282470 1060710717 1414280956 1767851195 1928564940 2121421434 3535702390 4242842868 5303553585 7071404780 10607107170 21214214340