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242207193984 = 273790106843
BaseRepresentation
bin1110000110010010101…
…1000111101110000000
3212011011211120021221020
43201210223013232000
512432020020201414
6303133552425440
723333056115460
oct3414453075600
9764154507836
10242207193984
11937a07127a8
123ab36848280
1319abc751682
14ba1987dba0
156478ae97a9
hex3864ac7b80

242207193984 has 64 divisors (see below), whose sum is σ = 735271847040. Its totient is φ = 69202054656.

The previous prime is 242207193971. The next prime is 242207193997. The reversal of 242207193984 is 489391702242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242207193971) and next prime (242207193997).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45050734 + ... + 45056109.

It is an arithmetic number, because the mean of its divisors is an integer number (11488622610).

Almost surely, 2242207193984 is an apocalyptic number.

242207193984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242207193984 is an abundant number, since it is smaller than the sum of its proper divisors (493064653056).

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

242207193984 is an equidigital number, since it uses as much as digits as its factorization.

242207193984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90106867 (or 90106855 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 242207193984 in words is "two hundred forty-two billion, two hundred seven million, one hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 90106843 180213686 270320529 360427372 540641058 630747901 720854744 1081282116 1261495802 1441709488 1892243703 2162564232 2522991604 2883418976 3784487406 4325128464 5045983208 5766837952 7568974812 8650256928 10091966416 11533675904 15137949624 17300513856 20183932832 30275899248 34601027712 40367865664 60551798496 80735731328 121103596992 242207193984