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21342044000 = 255337144203
BaseRepresentation
bin10011111000000101…
…011011111101100000
32001002100211011112002
4103320011123331200
5322202030402000
613445430023132
71353606244424
oct237005337540
961070734462
1021342044000
1190620335a2
1241774a7aa8
132021743904
14106662cb84
1584d9b38d5
hex4f815bf60

21342044000 has 96 divisors (see below), whose sum is σ = 53855002656. Its totient is φ = 8306035200.

The previous prime is 21342043997. The next prime is 21342044029. The reversal of 21342044000 is 44024312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75899 + ... + 220101.

It is an arithmetic number, because the mean of its divisors is an integer number (560989611).

Almost surely, 221342044000 is an apocalyptic number.

21342044000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21342044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26927501328).

21342044000 is an abundant number, since it is smaller than the sum of its proper divisors (32512958656).

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

21342044000 is a wasteful number, since it uses less digits than its factorization.

21342044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144265 (or 144247 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 21342044000 its reverse (44024312), we get a palindrome (21386068312).

The spelling of 21342044000 in words is "twenty-one billion, three hundred forty-two million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 740 800 925 1000 1184 1480 1850 2000 2960 3700 4000 4625 5920 7400 9250 14800 18500 29600 37000 74000 144203 148000 288406 576812 721015 1153624 1442030 2307248 2884060 3605075 4614496 5335511 5768120 7210150 10671022 11536240 14420300 18025375 21342044 23072480 26677555 28840600 36050750 42684088 53355110 57681200 72101500 85368176 106710220 115362400 133387775 144203000 170736352 213420440 266775550 288406000 426840880 533551100 576812000 666938875 853681760 1067102200 1333877750 2134204400 2667755500 4268408800 5335511000 10671022000 21342044000