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21444134424 = 2331755039551
BaseRepresentation
bin10011111110001010…
…111000011000011000
32001100110220220020220
4103332022320120120
5322404144300144
613503514120040
71356256064226
oct237612703030
961313826226
1021444134424
119104722649
1241a5720020
132039939a4b
141076005b16
1585792c919
hex4fe2b8618

21444134424 has 64 divisors (see below), whose sum is σ = 56780144640. Its totient is φ = 6725644800.

The previous prime is 21444134423. The next prime is 21444134431. The reversal of 21444134424 is 42443144412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21444134423) 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 15 ways as a sum of consecutive naturals, for example, 2240449 + ... + 2249999.

It is an arithmetic number, because the mean of its divisors is an integer number (887189760).

Almost surely, 221444134424 is an apocalyptic number.

21444134424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21444134424 is an abundant number, since it is smaller than the sum of its proper divisors (35336010216).

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

21444134424 is a wasteful number, since it uses less digits than its factorization.

21444134424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15080 (or 15076 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

Adding to 21444134424 its reverse (42443144412), we get a palindrome (63887278836).

It can be divided in two parts, 214441 and 34424, that added together give a triangular number (248865 = T705).

The spelling of 21444134424 in words is "twenty-one billion, four hundred forty-four million, one hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 5503 9551 11006 16509 19102 22012 28653 33018 38204 44024 57306 66036 76408 93551 114612 132072 162367 187102 229224 280653 324734 374204 487101 561306 649468 748408 974202 1122612 1298936 1948404 2245224 3896808 52559153 105118306 157677459 210236612 315354918 420473224 630709836 893505601 1261419672 1787011202 2680516803 3574022404 5361033606 7148044808 10722067212 21444134424