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132314207274 = 23219461839227
BaseRepresentation
bin111101100111010001…
…0101001010000101010
3110122112012112011012100
41323032202221100222
54131434414113044
6140441224354230
712362604130224
oct1731642512052
9418465464170
10132314207274
1151128a14327
1221787915976
13c628482552
146592995414
1536960de869
hex1ece8a942a

132314207274 has 48 divisors (see below), whose sum is σ = 302424202080. Its totient is φ = 41692747680.

The previous prime is 132314207273. The next prime is 132314207303. The reversal of 132314207274 is 472702413231.

132314207274 is a `hidden beast` number, since 132 + 31 + 420 + 7 + 2 + 74 = 666.

It is a super-3 number, since 3×1323142072743 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (132314207273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261952 + ... + 577275.

It is an arithmetic number, because the mean of its divisors is an integer number (6300504210).

Almost surely, 2132314207274 is an apocalyptic number.

132314207274 is an abundant number, since it is smaller than the sum of its proper divisors (170109994806).

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

132314207274 is a wasteful number, since it uses less digits than its factorization.

132314207274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839715 (or 839712 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 132314207274 in words is "one hundred thirty-two billion, three hundred fourteen million, two hundred seven thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 461 922 1383 2766 4149 8298 8759 17518 26277 52554 78831 157662 839227 1678454 2517681 5035362 7553043 15106086 15945313 31890626 47835939 95671878 143507817 287015634 386883647 773767294 1160650941 2321301882 3481952823 6963905646 7350789293 14701578586 22052367879 44104735758 66157103637 132314207274