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21421124240 = 2454310360457
BaseRepresentation
bin10011111100110011…
…000110101010010000
32001021212121212012212
4103330303012222100
5322332301433430
613501333011252
71355556360155
oct237463065220
961255555185
1021421124240
1190a273676a
124199a83b28
132034c41459
141072d3622c
158558d4b95
hex4fccc6a90

21421124240 has 80 divisors (see below), whose sum is σ = 51457980288. Its totient is φ = 8287792128.

The previous prime is 21421124237. The next prime is 21421124273. The reversal of 21421124240 is 4242112412.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 324092 + ... + 384548.

Almost surely, 221421124240 is an apocalyptic number.

21421124240 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 21421124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25728990144).

21421124240 is an abundant number, since it is smaller than the sum of its proper divisors (30036856048).

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

21421124240 is a wasteful number, since it uses less digits than its factorization.

21421124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60616 (or 60610 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 21421124240 its reverse (4242112412), we get a palindrome (25663236652).

The spelling of 21421124240 in words is "twenty-one billion, four hundred twenty-one million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 103 172 206 215 344 412 430 515 688 824 860 1030 1648 1720 2060 3440 4120 4429 8240 8858 17716 22145 35432 44290 60457 70864 88580 120914 177160 241828 302285 354320 483656 604570 967312 1209140 2418280 2599651 4836560 5199302 6227071 10398604 12454142 12998255 20797208 24908284 25996510 31135355 41594416 49816568 51993020 62270710 99633136 103986040 124541420 207972080 249082840 267764053 498165680 535528106 1071056212 1338820265 2142112424 2677640530 4284224848 5355281060 10710562120 21421124240