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21123222144440 = 2351350821799307
BaseRepresentation
bin1001100110110001000100…
…01001110000010110111000
32202210100201200002102212012
410303120202021300112320
510232040324332110230
6112531512502505052
74310050064513303
oct463304211602670
982710650072765
1021123222144440
116804343245939
1224519a4435188
13ba2bb0189980
1453052591bb3a
152696e43c7395
hex1336222705b8

21123222144440 has 64 divisors (see below), whose sum is σ = 51184263281760. Its totient is φ = 7799180336640.

The previous prime is 21123222144397. The next prime is 21123222144443. The reversal of 21123222144440 is 4444122232112.

It is a junction number, because it is equal to n+sod(n) for n = 21123222144397 and 21123222144406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21123222144443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26027267 + ... + 26826573.

Almost surely, 221123222144440 is an apocalyptic number.

21123222144440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21123222144440 is an abundant number, since it is smaller than the sum of its proper divisors (30061041137320).

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

21123222144440 is a wasteful number, since it uses less digits than its factorization.

21123222144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850152 (or 850148 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 21123222144440 its reverse (4444122232112), we get a palindrome (25567344376552).

The spelling of 21123222144440 in words is "twenty-one trillion, one hundred twenty-three billion, two hundred twenty-two million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 50821 101642 203284 254105 406568 508210 660673 799307 1016420 1321346 1598614 2032840 2642692 3197228 3303365 3996535 5285384 6394456 6606730 7993070 10390991 13213460 15986140 20781982 26426920 31972280 41563964 51954955 83127928 103909910 207819820 415639640 40621581047 81243162094 162486324188 203107905235 324972648376 406215810470 528080553611 812431620940 1056161107222 1624863241880 2112322214444 2640402768055 4224644428888 5280805536110 10561611072220 21123222144440