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242481445327 = 112172191632239
BaseRepresentation
bin1110000111010100000…
…1010011100111001111
3212011212221121201001101
43201311001103213033
512433100222222302
6303221110523531
723342626164202
oct3416501234717
9764787551041
10242481445327
11939214aa900
123abb26665a7
1319b34505584
14ba4406d939
156492c1e287
hex38750539cf

242481445327 has 72 divisors (see below), whose sum is σ = 299993523200. Its totient is φ = 195258159360.

The previous prime is 242481445319. The next prime is 242481445343. The reversal of 242481445327 is 723544184242.

It is not a de Polignac number, because 242481445327 - 23 = 242481445319 is a prime.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242481445307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108297874 + ... + 108300112.

Almost surely, 2242481445327 is an apocalyptic number.

242481445327 is a deficient number, since it is larger than the sum of its proper divisors (57512077873).

242481445327 is a wasteful number, since it uses less digits than its factorization.

242481445327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2449 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 46.

The spelling of 242481445327 in words is "two hundred forty-two billion, four hundred eighty-one million, four hundred forty-five thousand, three hundred twenty-seven".

Divisors: 1 11 17 19 121 163 187 209 289 323 1793 2057 2239 2299 2771 3097 3179 3553 5491 19723 24629 30481 34067 34969 38063 39083 42541 47107 52649 60401 270919 335291 364957 374737 418693 467951 518177 579139 647071 664411 723197 895033 4014527 4605623 5147461 5699947 6204269 6370529 6934183 7117781 7955167 9845363 12294349 44159797 68246959 76276013 78295591 87506837 105472573 108298993 117881111 135237839 750716549 839036143 1160198303 1296692221 1487616229 2003978887 12762181333 14263614431 22043767757 242481445327