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242412103104 = 2632011762761
BaseRepresentation
bin1110000111000011100…
…0110010010111000000
3212011201010010202101220
43201300320302113000
512432424444244404
6303210152355040
723341124610243
oct3416070622700
9764633122356
10242412103104
1193896348a86
123ab933a5a80
1319b23037282
14ba38b7d25a
15648bac34d9
hex3870e325c0

242412103104 has 56 divisors (see below), whose sum is σ = 641424125328. Its totient is φ = 80798730240.

The previous prime is 242412103103. The next prime is 242412103127. The reversal of 242412103104 is 401301214242.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242412103103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3831084 + ... + 3893844.

It is an arithmetic number, because the mean of its divisors is an integer number (11454002238).

Almost surely, 2242412103104 is an apocalyptic number.

242412103104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242412103104 is an abundant number, since it is smaller than the sum of its proper divisors (399012022224).

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

242412103104 is a wasteful number, since it uses less digits than its factorization.

242412103104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82893 (or 82883 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 242412103104 its reverse (401301214242), we get a palindrome (643713317346).

The spelling of 242412103104 in words is "two hundred forty-two billion, four hundred twelve million, one hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 20117 40234 60351 62761 80468 120702 125522 160936 188283 241404 251044 321872 376566 482808 502088 643744 753132 965616 1004176 1287488 1506264 1931232 2008352 3012528 3862464 4016704 6025056 12050112 1262563037 2525126074 3787689111 5050252148 7575378222 10100504296 15150756444 20201008592 30301512888 40402017184 60603025776 80804034368 121206051552 242412103104