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42346441212561 = 3219557499988937
BaseRepresentation
bin10011010000011100011001…
…00101100000001010010001
312112221021120022000221001100
421220032030211200022101
521022301002422300221
6230021404142455013
711630300201213343
oct1150161445401221
9175837508027040
1042346441212561
1112547030105562
1248bb035594469
131a82338319a65
14a65815cd9293
154d67dc5cc926
hex26838c960291

42346441212561 has 48 divisors (see below), whose sum is σ = 64515625200000. Its totient is φ = 26691463782144.

The previous prime is 42346441212557. The next prime is 42346441212631. The reversal of 42346441212561 is 16521214464324.

42346441212561 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 64 + 4 + 1 + 21 + 2 + 561 = 666.

It is not a de Polignac number, because 42346441212561 - 22 = 42346441212557 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42346441212961) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 476095285 + ... + 476184221.

It is an arithmetic number, because the mean of its divisors is an integer number (1344075525000).

Almost surely, 242346441212561 is an apocalyptic number.

It is an amenable number.

42346441212561 is a deficient number, since it is larger than the sum of its proper divisors (22169183987439).

42346441212561 is a wasteful number, since it uses less digits than its factorization.

42346441212561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94518 (or 94515 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

Adding to 42346441212561 its reverse (16521214464324), we get a palindrome (58867655676885).

The spelling of 42346441212561 in words is "forty-two trillion, three hundred forty-six billion, four hundred forty-one million, two hundred twelve thousand, five hundred sixty-one".

Divisors: 1 3 9 19 57 171 557 1671 4999 5013 10583 14997 31749 44991 88937 94981 95247 266811 284943 800433 854829 1689803 2784443 5069409 8353329 15208227 25059987 49537909 52904417 148613727 158713251 444596063 445841181 476139753 941220271 1333788189 2823660813 4001364567 8447325197 8470982439 25341975591 76025926773 247640007091 742920021273 2228760063819 4705160134729 14115480404187 42346441212561