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242113561367280 = 24351008806505697
BaseRepresentation
bin110111000011001101110100…
…110100100001001011110000
31011202020211102101011002200220
4313003031310310201023300
5223213242033202223110
62214533233513013040
7101666061516520011
oct6703156464411360
91152224371132626
10242113561367280
117016586a560259
12231a32919b4180
13a51329838c605
1443b0504b47008
151cecde1861370
hexdc3374d212f0

242113561367280 has 40 divisors (see below), whose sum is σ = 750552040239312. Its totient is φ = 64563616364544.

The previous prime is 242113561367273. The next prime is 242113561367323. The reversal of 242113561367280 is 82763165311242.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504403252609 + ... + 504403253088.

Almost surely, 2242113561367280 is an apocalyptic number.

242113561367280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242113561367280 is an abundant number, since it is smaller than the sum of its proper divisors (508438478872032).

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

242113561367280 is a wasteful number, since it uses less digits than its factorization.

242113561367280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008806505713 (or 1008806505707 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 242113561367280 in words is "two hundred forty-two trillion, one hundred thirteen billion, five hundred sixty-one million, three hundred sixty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1008806505697 2017613011394 3026419517091 4035226022788 5044032528485 6052839034182 8070452045576 10088065056970 12105678068364 15132097585455 16140904091152 20176130113940 24211356136728 30264195170910 40352260227880 48422712273456 60528390341820 80704520455760 121056780683640 242113561367280