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242351781552 = 24321918187743
BaseRepresentation
bin1110000110110101001…
…0101011011010110000
3212011112220122002210100
43201231102223122300
512432314024002202
6303200155432400
723336463103536
oct3415522533260
9764486562710
10242351781552
1193865298561
123ab77155700
1319b136a6b4a
14ba30b5a156
15648665a41c
hex386d4ab6b0

242351781552 has 60 divisors (see below), whose sum is σ = 678291479424. Its totient is φ = 80778794880.

The previous prime is 242351781541. The next prime is 242351781557. The reversal of 242351781552 is 255187153242.

242351781552 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 5 + 17 + 81 + 552 = 666.

242351781552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242351781498 and 242351781507.

It is not an unprimeable number, because it can be changed into a prime (242351781557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2718193 + ... + 2805935.

Almost surely, 2242351781552 is an apocalyptic number.

It is an amenable number.

242351781552 is an abundant number, since it is smaller than the sum of its proper divisors (435939697872).

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

242351781552 is a wasteful number, since it uses less digits than its factorization.

242351781552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106938 (or 106929 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The spelling of 242351781552 in words is "two hundred forty-two billion, three hundred fifty-one million, seven hundred eighty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 19181 38362 57543 76724 87743 115086 153448 172629 175486 230172 263229 306896 345258 350972 460344 526458 690516 701944 789687 920688 1052916 1381032 1403888 1579374 2105832 2762064 3158748 4211664 6317496 12634992 1682998483 3365996966 5048995449 6731993932 10097990898 13463987864 15146986347 20195981796 26927975728 30293972694 40391963592 60587945388 80783927184 121175890776 242351781552