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242214334102432 = 2510988336888397
BaseRepresentation
bin110111000100101011101011…
…010101111111101110100000
31011202121110112101211110022001
4313010223223111333232200
5223221414424012234212
62215051421242253344
7102006256665604456
oct6704535325775640
91152543471743261
10242214334102432
11701a45820a474a
12231ba9164b7254
13a51c937cc6b93
1443b53446769d6
151d0083d839657
hexdc4aeb57fba0

242214334102432 has 24 divisors (see below), whose sum is σ = 476859973459716. Its totient is φ = 121107039255552.

The previous prime is 242214334102423. The next prime is 242214334102439. The reversal of 242214334102432 is 234201433412242.

It can be written as a sum of positive squares in 2 ways, for example, as 237704979923856 + 4509354178576 = 15417684^2 + 2123524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242214334102391 and 242214334102400.

It is not an unprimeable number, because it can be changed into a prime (242214334102439) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31718458 + ... + 38606854.

Almost surely, 2242214334102432 is an apocalyptic number.

It is an amenable number.

242214334102432 is a deficient number, since it is larger than the sum of its proper divisors (234645639357284).

242214334102432 is a wasteful number, since it uses less digits than its factorization.

242214334102432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7987240 (or 7987232 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 242214334102432 its reverse (234201433412242), we get a palindrome (476415767514674).

The spelling of 242214334102432 in words is "two hundred forty-two trillion, two hundred fourteen billion, three hundred thirty-four million, one hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 1098833 2197666 4395332 6888397 8790664 13776794 17581328 27553588 35162656 55107176 110214352 220428704 7569197940701 15138395881402 30276791762804 60553583525608 121107167051216 242214334102432