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3141144340 = 2251272115861
BaseRepresentation
bin1011101100111010…
…0000111100010100
322002220121122222021
42323032200330110
522413113104330
61235405342524
7140561200135
oct27316407424
98086548867
103141144340
111372104264
12737b67a44
133b0a026b9
1421b267c8c
15135b7467a
hexbb3a0f14

3141144340 has 48 divisors (see below), whose sum is σ = 6680991744. Its totient is φ = 1240444800.

The previous prime is 3141144319. The next prime is 3141144397. The reversal of 3141144340 is 434411413.

3141144340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×31411443403 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

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, 533010 + ... + 538870.

It is an arithmetic number, because the mean of its divisors is an integer number (139187328).

Almost surely, 23141144340 is an apocalyptic number.

It is an amenable number.

3141144340 is an abundant number, since it is smaller than the sum of its proper divisors (3539847404).

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

3141144340 is a wasteful number, since it uses less digits than its factorization.

3141144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6208 (or 6206 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3141144340 is about 56045.9127858580. The cubic root of 3141144340 is about 1464.5222172006.

Adding to 3141144340 its reverse (434411413), we get a palindrome (3575555753).

The spelling of 3141144340 in words is "three billion, one hundred forty-one million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 127 211 254 422 508 635 844 1055 1270 2110 2540 4220 5861 11722 23444 26797 29305 53594 58610 107188 117220 133985 267970 535940 744347 1236671 1488694 2473342 2977388 3721735 4946684 6183355 7443470 12366710 14886940 24733420 157057217 314114434 628228868 785286085 1570572170 3141144340