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242377587801387 = 32479723934677129
BaseRepresentation
bin110111000111000011101110…
…000001011011110100101011
31011210012001220211110122011200
4313013003232001123310223
5223232103244434121022
62215254420543455243
7102024126401262453
oct6707035601336453
91153161824418150
10242377587801387
11702578375a8005
12232264978b7523
13a53215438424c
1443bd1d0352d63
151d04be5c80bac
hexdc70ee05bd2b

242377587801387 has 96 divisors (see below), whose sum is σ = 362902972723200. Its totient is φ = 155795002159104.

The previous prime is 242377587801367. The next prime is 242377587801443. The reversal of 242377587801387 is 783108785773242.

242377587801387 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 7 + 7 + 587 + 8 + 0 + 1 + 38 + 7 = 666.

It is not a de Polignac number, because 242377587801387 - 222 = 242377583607083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242377587801337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33998816439 + ... + 33998823567.

It is an arithmetic number, because the mean of its divisors is an integer number (3780239299200).

Almost surely, 2242377587801387 is an apocalyptic number.

242377587801387 is a deficient number, since it is larger than the sum of its proper divisors (120525384921813).

242377587801387 is a wasteful number, since it uses less digits than its factorization.

242377587801387 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10985 (or 10982 counting only the distinct ones).

The product of its (nonzero) digits is 885104640, while the sum is 72.

The spelling of 242377587801387 in words is "two hundred forty-two trillion, three hundred seventy-seven billion, five hundred eighty-seven million, eight hundred one thousand, three hundred eighty-seven".

Divisors: 1 3 9 47 97 141 239 291 423 717 873 2151 3467 4559 7129 10401 11233 13677 21387 23183 31203 33699 41031 64161 69549 101097 162949 208647 335063 336299 488847 691513 828613 1005189 1008897 1089601 1466541 1703831 2074539 2485839 3015567 3026691 3268803 5111493 6223617 7457517 9806409 15334479 15806053 24716243 32501111 38944811 47418159 74148729 80080057 80375461 97503333 116834433 142254477 165271607 222446187 240240171 241126383 292509999 350503299 495814821 720720513 723379149 1161663421 1487444463 2397475571 3484990263 3777646667 5907182077 7192426713 7767765529 10454970789 11332940001 17721546231 21577280139 23303296587 33998820003 53164638693 69909889761 112681351837 277637557619 338044055511 572996661469 832912672857 1014132166533 1718989984407 2498738018571 5156969953221 26930843089043 80792529267129 242377587801387