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242864947353 = 3732924673299
BaseRepresentation
bin1110001000101111100…
…0010000000010011001
3212012212200020121221010
43202023320100002121
512434341411303403
6303323130404133
723355263664000
oct3421370200231
9765780217833
10242864947353
1193aa8a27626
123b09ab90649
1319b95abb752
14ba7cd7bc37
1564b6724603
hex388be10099

242864947353 has 64 divisors (see below), whose sum is σ = 390931200000. Its totient is φ = 133899538752.

The previous prime is 242864947321. The next prime is 242864947363. The reversal of 242864947353 is 353749468242.

It is a happy number.

It is not a de Polignac number, because 242864947353 - 25 = 242864947321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242864947293 and 242864947302.

It is not an unprimeable number, because it can be changed into a prime (242864947363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73616098 + ... + 73619396.

It is an arithmetic number, because the mean of its divisors is an integer number (6108300000).

Almost surely, 2242864947353 is an apocalyptic number.

It is an amenable number.

242864947353 is a deficient number, since it is larger than the sum of its proper divisors (148066252647).

242864947353 is a wasteful number, since it uses less digits than its factorization.

242864947353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819 (or 5805 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 57.

The spelling of 242864947353 in words is "two hundred forty-two billion, eight hundred sixty-four million, nine hundred forty-seven thousand, three hundred fifty-three".

Divisors: 1 3 7 21 29 49 87 147 203 343 609 1029 1421 2467 3299 4263 7401 9897 9947 17269 23093 29841 51807 69279 71543 95671 120883 161651 214629 287013 362649 484953 500801 669697 846181 1131557 1502403 2009091 2538543 3394671 3505607 4687879 8138633 10516821 14063637 24415899 24539249 32815153 56970431 73617747 98445459 170911293 236020357 398793017 708061071 1196379051 1652142499 2791551119 4956427497 8374653357 11564997493 34694992479 80954982451 242864947353