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21424302240 = 2535114057633
BaseRepresentation
bin10011111100111111…
…001110100010100000
32001022002121022121120
4103330333032202200
5322334110132430
613501525052240
71355625364365
oct237477164240
961262538546
1021424302240
1190a4507410
12419ab57080
1320357b4b23
14107352246c
15855d11610
hex4fcfce8a0

21424302240 has 96 divisors (see below), whose sum is σ = 73621711296. Its totient is φ = 5193768960.

The previous prime is 21424302239. The next prime is 21424302271. The reversal of 21424302240 is 4220342412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21424302240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2023537 + ... + 2034096.

It is an arithmetic number, because the mean of its divisors is an integer number (766892826).

Almost surely, 221424302240 is an apocalyptic number.

21424302240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21424302240 is an abundant number, since it is smaller than the sum of its proper divisors (52197409056).

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

21424302240 is a wasteful number, since it uses less digits than its factorization.

21424302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057662 (or 4057654 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 21424302240 its reverse (4220342412), we get a palindrome (25644644652).

The spelling of 21424302240 in words is "twenty-one billion, four hundred twenty-four million, three hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 4057633 8115266 12172899 16230532 20288165 24345798 32461064 40576330 44633963 48691596 60864495 64922128 81152660 89267926 97383192 121728990 129844256 133901889 162305320 178535852 194766384 223169815 243457980 267803778 324610640 357071704 389532768 446339630 486915960 535607556 649221280 669509445 714143408 892679260 973831920 1071215112 1339018890 1428286816 1785358520 1947663840 2142430224 2678037780 3570717040 4284860448 5356075560 7141434080 10712151120 21424302240