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242004036096 = 293317506079
BaseRepresentation
bin1110000101100010010…
…0001000101000000000
3212010122200021210201000
43201120210020220000
512431111013123341
6303101454212000
723325041236434
oct3413044105000
9763580253630
10242004036096
11936a6a73219
123aa9a7b4000
1319a8962cbc4
14b9da8b89c4
156465d698b6
hex3858908a00

242004036096 has 80 divisors (see below), whose sum is σ = 716348793600. Its totient is φ = 80668007424.

The previous prime is 242004036083. The next prime is 242004036103. The reversal of 242004036096 is 690630400242.

242004036096 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 0 + 40 + 3 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 242004036096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8739216 + ... + 8766863.

It is an arithmetic number, because the mean of its divisors is an integer number (8954359920).

Almost surely, 2242004036096 is an apocalyptic number.

It is an amenable number.

242004036096 is an abundant number, since it is smaller than the sum of its proper divisors (474344757504).

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

242004036096 is an equidigital number, since it uses as much as digits as its factorization.

242004036096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17506106 (or 17506084 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 242004036096 in words is "two hundred forty-two billion, four million, thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 17506079 35012158 52518237 70024316 105036474 140048632 157554711 210072948 280097264 315109422 420145896 472664133 560194528 630218844 840291792 945328266 1120389056 1260437688 1680583584 1890656532 2240778112 2520875376 3361167168 3781313064 4481556224 5041750752 6722334336 7562626128 8963112448 10083501504 13444668672 15125252256 20167003008 26889337344 30250504512 40334006016 60501009024 80668012032 121002018048 242004036096