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3141034312 = 2313297913183
BaseRepresentation
bin1011101100111000…
…0110000101001000
322002220102002001011
42323032012011020
522413101044222
61235403133304
7140560231303
oct27316060510
98086362034
103141034312
111372039629
12737b14234
133b09945b0
1421b239b3a
15135b51c77
hexbb386148

3141034312 has 64 divisors (see below), whose sum is σ = 6644736000. Its totient is φ = 1381895424.

The previous prime is 3141034289. The next prime is 3141034339. The reversal of 3141034312 is 2134301413.

It is a super-4 number, since 4×31410343124 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231673 + ... + 244855.

It is an arithmetic number, because the mean of its divisors is an integer number (103824000).

Almost surely, 23141034312 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 3141034312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322368000).

3141034312 is an abundant number, since it is smaller than the sum of its proper divisors (3503701688).

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

3141034312 is a wasteful number, since it uses less digits than its factorization.

3141034312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13310 (or 13306 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3141034312 is about 56044.9311891807. The cubic root of 3141034312 is about 1464.5051172402.

Adding to 3141034312 its reverse (2134301413), we get a palindrome (5275335725).

The spelling of 3141034312 in words is "three billion, one hundred forty-one million, thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 29 52 58 79 104 116 158 232 316 377 632 754 1027 1508 2054 2291 3016 4108 4582 8216 9164 13183 18328 26366 29783 52732 59566 105464 119132 171379 238264 342758 382307 685516 764614 1041457 1371032 1529228 2082914 3058456 4165828 4969991 8331656 9939982 13538941 19879964 27077882 30202253 39759928 54155764 60404506 108311528 120809012 241618024 392629289 785258578 1570517156 3141034312