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242111434413440 = 275378299116271
BaseRepresentation
bin110111000011001011110110…
…000010110101010110000000
31011202020121221010220122112202
4313003023312002311112000
5223213223204202212230
62214532242453012332
7101665655021642264
oct6703136602652600
91152217833818482
10242111434413440
1170164978992369
12231a29996240a8
13a513019825147
1443b03824820a4
151cecd19c72a45
hexdc32f60b5580

242111434413440 has 32 divisors (see below), whose sum is σ = 578797647896160. Its totient is φ = 96844573765120.

The previous prime is 242111434413439. The next prime is 242111434413469. The reversal of 242111434413440 is 44314434111242.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 242111434413394 and 242111434413403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 189149557496 + ... + 189149558775.

It is an arithmetic number, because the mean of its divisors is an integer number (18087426496755).

Almost surely, 2242111434413440 is an apocalyptic number.

242111434413440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242111434413440 is an abundant number, since it is smaller than the sum of its proper divisors (336686213482720).

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

242111434413440 is an equidigital number, since it uses as much as digits as its factorization.

242111434413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378299116290 (or 378299116278 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

Adding to 242111434413440 its reverse (44314434111242), we get a palindrome (286425868524682).

The spelling of 242111434413440 in words is "two hundred forty-two trillion, one hundred eleven billion, four hundred thirty-four million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 378299116271 756598232542 1513196465084 1891495581355 3026392930168 3782991162710 6052785860336 7565982325420 12105571720672 15131964650840 24211143441344 30263929301680 48422286882688 60527858603360 121055717206720 242111434413440