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4412603146842 = 2321127121284509
BaseRepresentation
bin100000000110110001110…
…1001001010001001011010
3120121211200220022021012100
41000031203221022021122
51034244002401144332
613215042155224230
7633541263614352
oct100154351121132
916554626267170
104412603146842
111451413492800
125b3237a48076
132601505295c7
141137dd285b62
1579bae06467c
hex40363a4a25a

4412603146842 has 72 divisors (see below), whose sum is σ = 10510315501140. Its totient is φ = 1336959993600.

The previous prime is 4412603146837. The next prime is 4412603146843. The reversal of 4412603146842 is 2486413062144.

It is a happy number.

4412603146842 is a `hidden beast` number, since 441 + 2 + 60 + 3 + 146 + 8 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3882984539841 + 529618607001 = 1970529^2 + 727749^2 .

It is not an unprimeable number, because it can be changed into a prime (4412603146843) 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 35 ways as a sum of consecutive naturals, for example, 15367284 + ... + 15651792.

Almost surely, 24412603146842 is an apocalyptic number.

4412603146842 is an abundant number, since it is smaller than the sum of its proper divisors (6097712354298).

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

4412603146842 is a wasteful number, since it uses less digits than its factorization.

4412603146842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291660 (or 291646 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 4412603146842 in words is "four trillion, four hundred twelve billion, six hundred three million, one hundred forty-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 7121 14242 21363 42726 64089 78331 128178 156662 234993 284509 469986 569018 704979 853527 861641 1409958 1707054 1723282 2560581 2584923 3129599 5121162 5169846 6259198 7754769 9388797 15509538 18777594 28166391 34425589 56332782 68851178 103276767 206553534 309830301 619660602 2025988589 4051977178 6077965767 12155931534 18233897301 22285874479 36467794602 44571748958 66857623437 133715246874 200572870311 245144619269 401145740622 490289238538 735433857807 1470867715614 2206301573421 4412603146842