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31514610141 = 347261312953
BaseRepresentation
bin11101010110011010…
…101100100111011101
310000100022022001220000
4131112122230213131
51004020220011031
622251055244513
72163650523600
oct352632544735
9100308261800
1031514610141
11124021a3053
126136219739
132c83101411
14174d672337
15c46aac3e6
hex7566ac9dd

31514610141 has 60 divisors (see below), whose sum is σ = 54857055132. Its totient is φ = 17977583232.

The previous prime is 31514610139. The next prime is 31514610151. The reversal of 31514610141 is 14101641513.

31514610141 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 4 + 610 + 1 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1060870041 + 30453740100 = 32571^2 + 174510^2 .

It is not a de Polignac number, because 31514610141 - 21 = 31514610139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31514610121) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2426521 + ... + 2439473.

Almost surely, 231514610141 is an apocalyptic number.

It is an amenable number.

31514610141 is a deficient number, since it is larger than the sum of its proper divisors (23342444991).

31514610141 is a wasteful number, since it uses less digits than its factorization.

31514610141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13592 (or 13576 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 31514610141 in words is "thirty-one billion, five hundred fourteen million, six hundred ten thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 613 1323 1839 3969 4291 5517 12873 12953 16551 30037 38619 38859 49653 90111 90671 115857 116577 270333 272013 347571 349731 634697 810999 816039 1049193 1904091 2432997 2448117 5712273 7344351 7940189 17136819 23820567 51410457 55581323 71461701 166743969 214385103 389069261 500231907 643155309 1167207783 1500695721 3501623349 4502087163 10504870047 31514610141