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242210784008 = 2319129112
BaseRepresentation
bin1110000110010011100…
…0110100001100001000
3212011012002022200112002
43201210320310030020
512432021430042013
6303134201410132
723333131460144
oct3414470641410
9764162280462
10242210784008
11937a2744a66
123ab37a99948
1319ac040a74b
14ba1a136224
1564790a8358
hex3864e34308

242210784008 has 36 divisors (see below), whose sum is σ = 457037079135. Its totient is φ = 120339091600.

The previous prime is 242210784001. The next prime is 242210784037. The reversal of 242210784008 is 800487012242.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 121105392004 + 121105392004 = 348002^2 + 348002^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=348002.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242210784001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 265873073 + ... + 265873983.

Almost surely, 2242210784008 is an apocalyptic number.

It is an amenable number.

242210784008 is a deficient number, since it is larger than the sum of its proper divisors (214826295127).

242210784008 is an frugal number, since it uses more digits than its factorization.

242210784008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 38.

The spelling of 242210784008 in words is "two hundred forty-two billion, two hundred ten million, seven hundred eighty-four thousand, eight".

Divisors: 1 2 4 8 191 382 764 911 1528 1822 3644 7288 36481 72962 145924 174001 291848 348002 696004 829921 1392008 1659842 3319684 6639368 33234191 66468382 132936764 158514911 265873528 317029822 634059644 1268119288 30276348001 60552696002 121105392004 242210784008