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21242053040 = 2451340949939
BaseRepresentation
bin10011110010001000…
…000000000110110000
32000211101200002201012
4103302020000012300
5322000431144130
613431454530052
71351253320535
oct236210000660
960741602635
1021242053040
11901064893a
124149b06928
132006b04270
141057240d8c
15844d11995
hex4f22001b0

21242053040 has 80 divisors (see below), whose sum is σ = 53317941600. Its totient is φ = 7823886336.

The previous prime is 21242053039. The next prime is 21242053051. The reversal of 21242053040 is 4035024212.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 21242052997 and 21242053015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400391 + ... + 450329.

It is an arithmetic number, because the mean of its divisors is an integer number (666474270).

Almost surely, 221242053040 is an apocalyptic number.

21242053040 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 21242053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26658970800).

21242053040 is an abundant number, since it is smaller than the sum of its proper divisors (32075888560).

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

21242053040 is a wasteful number, since it uses less digits than its factorization.

21242053040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50374 (or 50368 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 21242053040 its reverse (4035024212), we get a palindrome (25277077252).

The spelling of 21242053040 in words is "twenty-one billion, two hundred forty-two million, fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 409 520 818 1040 1636 2045 3272 4090 5317 6544 8180 10634 16360 21268 26585 32720 42536 49939 53170 85072 99878 106340 199756 212680 249695 399512 425360 499390 649207 799024 998780 1298414 1997560 2596828 3246035 3995120 5193656 6492070 10387312 12984140 20425051 25968280 40850102 51936560 81700204 102125255 163400408 204250510 265525663 326800816 408501020 531051326 817002040 1062102652 1327628315 1634004080 2124205304 2655256630 4248410608 5310513260 10621026520 21242053040