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3141335412 = 22331714911483
BaseRepresentation
bin1011101100111100…
…1111100101110100
322002220222101002000
42323033033211310
522413140213122
61235413415300
7140562624165
oct27317174564
98086871060
103141335412
111372224876
1273803a530
133b0a6b667
1421b2b776c
15135bb10ac
hexbb3cf974

3141335412 has 96 divisors (see below), whose sum is σ = 8681904000. Its totient is φ = 978817536.

The previous prime is 3141335411. The next prime is 3141335413. The reversal of 3141335412 is 2145331413.

It is a happy number.

3141335412 is a `hidden beast` number, since 314 + 1 + 335 + 4 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (3141335411) and next prime (3141335413).

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 (3141335411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267823 + ... + 279305.

It is an arithmetic number, because the mean of its divisors is an integer number (90436500).

Almost surely, 23141335412 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 3141335412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340952000).

3141335412 is an abundant number, since it is smaller than the sum of its proper divisors (5540568588).

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

3141335412 is a wasteful number, since it uses less digits than its factorization.

3141335412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11662 (or 11654 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 3141335412 is about 56047.6173623821. The cubic root of 3141335412 is about 1464.5519116352.

Adding to 3141335412 its reverse (2145331413), we get a palindrome (5286666825).

The spelling of 3141335412 in words is "three billion, one hundred forty-one million, three hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 149 153 204 298 306 447 459 596 612 894 918 1341 1788 1836 2533 2682 4023 5066 5364 7599 8046 10132 11483 15198 16092 22797 22966 30396 34449 45594 45932 68391 68898 91188 103347 136782 137796 195211 206694 273564 310041 390422 413388 585633 620082 780844 1171266 1240164 1710967 1756899 2342532 3421934 3513798 5132901 5270697 6843868 7027596 10265802 10541394 15398703 20531604 21082788 29086439 30797406 46196109 58172878 61594812 87259317 92392218 116345756 174518634 184784436 261777951 349037268 523555902 785333853 1047111804 1570667706 3141335412