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3141413112 = 2334130710399
BaseRepresentation
bin1011101100111110…
…0010100011111000
322002221010022122210
42323033202203320
522413200204422
61235415215120
7140563366545
oct27317424370
98087108583
103141413112
111372278192
127380774a0
133b0a97b36
1421b2d7bcc
15135bc910c
hexbb3e28f8

3141413112 has 64 divisors (see below), whose sum is σ = 8072064000. Its totient is φ = 1018172160.

The previous prime is 3141413111. The next prime is 3141413113. The reversal of 3141413112 is 2113141413.

It is an interprime number because it is at equal distance from previous prime (3141413111) and next prime (3141413113).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141413111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296889 + ... + 307287.

It is an arithmetic number, because the mean of its divisors is an integer number (126126000).

Almost surely, 23141413112 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 3141413112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036032000).

3141413112 is an abundant number, since it is smaller than the sum of its proper divisors (4930650888).

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

3141413112 is a wasteful number, since it uses less digits than its factorization.

3141413112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10756 (or 10752 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 3141413112 is about 56048.3105186945. The cubic root of 3141413112 is about 1464.5639866214.

Adding to 3141413112 its reverse (2113141413), we get a palindrome (5254554525).

The spelling of 3141413112 in words is "three billion, one hundred forty-one million, four hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 307 328 492 614 921 984 1228 1842 2456 3684 7368 10399 12587 20798 25174 31197 37761 41596 50348 62394 75522 83192 100696 124788 151044 249576 302088 426359 852718 1279077 1705436 2558154 3192493 3410872 5116308 6384986 9577479 10232616 12769972 19154958 25539944 38309916 76619832 130892213 261784426 392676639 523568852 785353278 1047137704 1570706556 3141413112