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31442550345 = 3251761673793
BaseRepresentation
bin11101010010000111…
…110011111001001001
310000011021201001102200
4131102013303321021
51003343243102340
622240002550413
72162114160663
oct352207637111
9100137631380
1031442550345
11123755554a8
126116068409
132c711c119b
141743c75533
15c405c6330
hex7521f3e49

31442550345 has 48 divisors (see below), whose sum is σ = 58652420112. Its totient is φ = 15524167680.

The previous prime is 31442550329. The next prime is 31442550353. The reversal of 31442550345 is 54305524413.

31442550345 is a `hidden beast` number, since 3 + 144 + 2 + 5 + 503 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 275825664 + 31166724681 = 16608^2 + 176541^2 .

It is not a de Polignac number, because 31442550345 - 24 = 31442550329 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 290232 + ... + 383561.

It is an arithmetic number, because the mean of its divisors is an integer number (1221925419).

Almost surely, 231442550345 is an apocalyptic number.

It is an amenable number.

31442550345 is a deficient number, since it is larger than the sum of its proper divisors (27209869767).

31442550345 is a wasteful number, since it uses less digits than its factorization.

31442550345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673882 (or 673879 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 31442550345 in words is "thirty-one billion, four hundred forty-two million, five hundred fifty thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 61 85 153 183 255 305 549 765 915 1037 2745 3111 5185 9333 15555 46665 673793 2021379 3368965 6064137 10106895 11454481 30320685 34363443 41101373 57272405 103090329 123304119 171817215 205506865 369912357 515451645 616520595 698723341 1849561785 2096170023 3493616705 6288510069 10480850115 31442550345