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3141329964 = 2231941714733
BaseRepresentation
bin1011101100111100…
…1110010000101100
322002220222002121020
42323033032100230
522413140024324
61235413334140
7140562602253
oct27317162054
98086862536
103141329964
111372220773
12738037350
133b0a69036
1421b2b579a
15135bae679
hexbb3ce42c

3141329964 has 96 divisors (see below), whose sum is σ = 8016744960. Its totient is φ = 953971200.

The previous prime is 3141329963. The next prime is 3141330043. The reversal of 3141329964 is 4699231413.

It is not an unprimeable number, because it can be changed into a prime (3141329963) 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 31 ways as a sum of consecutive naturals, for example, 661342 + ... + 666074.

It is an arithmetic number, because the mean of its divisors is an integer number (83507760).

Almost surely, 23141329964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141329964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008372480).

3141329964 is an abundant number, since it is smaller than the sum of its proper divisors (4875414996).

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

3141329964 is a wasteful number, since it uses less digits than its factorization.

3141329964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4871 (or 4869 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 3141329964 is about 56047.5687608303. The cubic root of 3141329964 is about 1464.5510649801.

The spelling of 3141329964 in words is "three billion, one hundred forty-one million, three hundred twenty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 41 57 71 76 82 114 123 142 164 213 228 246 284 426 492 779 852 1349 1558 2337 2698 2911 3116 4047 4674 4733 5396 5822 8094 8733 9348 9466 11644 14199 16188 17466 18932 28398 34932 55309 56796 89927 110618 165927 179854 194053 221236 269781 331854 336043 359708 388106 539562 582159 663708 672086 776212 1008129 1079124 1164318 1344172 2016258 2328636 3687007 4032516 6384817 7374014 11061021 12769634 13777763 14748028 19154451 22122042 25539268 27555526 38308902 41333289 44244084 55111052 76617804 82666578 165333156 261777497 523554994 785332491 1047109988 1570664982 3141329964