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24042420240 = 2435388925759
BaseRepresentation
bin10110011001000010…
…100011100000010000
32022001120001111022220
4112121002203200100
5343214324421430
615013412301040
71510536125436
oct263102434020
968046044286
1024042420240
11a2183571a3
1247ab911780
13236202c687
14124111cd56
1595aac0110
hex5990a3810

24042420240 has 80 divisors (see below), whose sum is σ = 74553561600. Its totient is φ = 6409414656.

The previous prime is 24042420239. The next prime is 24042420251. The reversal of 24042420240 is 4202424042.

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

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 24042420240.

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, 920481 + ... + 946239.

It is an arithmetic number, because the mean of its divisors is an integer number (931919520).

Almost surely, 224042420240 is an apocalyptic number.

24042420240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24042420240 is an abundant number, since it is smaller than the sum of its proper divisors (50511141360).

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

24042420240 is a wasteful number, since it uses less digits than its factorization.

24042420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29664 (or 29658 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 24042420240 its reverse (4202424042), we get a palindrome (28244844282).

The spelling of 24042420240 in words is "twenty-four billion, forty-two million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3889 7778 11667 15556 19445 23334 25759 31112 38890 46668 51518 58335 62224 77277 77780 93336 103036 116670 128795 154554 155560 186672 206072 233340 257590 309108 311120 386385 412144 466680 515180 618216 772770 933360 1030360 1236432 1545540 2060720 3091080 6182160 100176751 200353502 300530253 400707004 500883755 601060506 801414008 1001767510 1202121012 1502651265 1602828016 2003535020 2404242024 3005302530 4007070040 4808484048 6010605060 8014140080 12021210120 24042420240