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21144244420 = 2251389913753
BaseRepresentation
bin10011101100010010…
…111001000011000100
32000120120121220111201
4103230102321003010
5321300411310140
613414042312244
71345655053315
oct235422710304
960516556451
1021144244420
118a70413872
1241211b8684
131cbc77a040
14104826060c
1583b44149a
hex4ec4b90c4

21144244420 has 48 divisors (see below), whose sum is σ = 48355861680. Its totient is φ = 7719376896.

The previous prime is 21144244409. The next prime is 21144244421. The reversal of 21144244420 is 2444244112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1384881796 + 19759362624 = 37214^2 + 140568^2 .

It is a super-2 number, since 2×211442444202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21144244421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433737 + ... + 480016.

It is an arithmetic number, because the mean of its divisors is an integer number (1007413785).

Almost surely, 221144244420 is an apocalyptic number.

21144244420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21144244420 is an abundant number, since it is smaller than the sum of its proper divisors (27211617260).

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

21144244420 is a wasteful number, since it uses less digits than its factorization.

21144244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913864 (or 913862 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 21144244420 its reverse (2444244112), we get a palindrome (23588488532).

The spelling of 21144244420 in words is "twenty-one billion, one hundred forty-four million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 890 1157 1780 2314 4628 5785 11570 23140 913753 1827506 3655012 4568765 9137530 11878789 18275060 23757578 47515156 59393945 81324017 118787890 162648034 237575780 325296068 406620085 813240170 1057212221 1626480340 2114424442 4228848884 5286061105 10572122210 21144244420