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3140113230 = 2345101131293
BaseRepresentation
bin1011101100101010…
…0101001101001110
322002211200021120000
42323022211031032
522412332110410
61235331305130
7140546344032
oct27312451516
98084607500
103140113230
11137156a601
1273774b1a6
133b0731287
1421b07a1c2
15135a1ddc0
hexbb2a534e

3140113230 has 160 divisors (see below), whose sum is σ = 8621430048. Its totient is φ = 819936000.

The previous prime is 3140113199. The next prime is 3140113241. The reversal of 3140113230 is 323110413.

3140113230 is a `hidden beast` number, since 31 + 401 + 1 + 3 + 230 = 666.

It is a super-2 number, since 2×31401132302 = 19720622194442065800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 10716964 + ... + 10717256.

Almost surely, 23140113230 is an apocalyptic number.

3140113230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140113230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310715024).

3140113230 is an abundant number, since it is smaller than the sum of its proper divisors (5481316818).

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

3140113230 is a wasteful number, since it uses less digits than its factorization.

3140113230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3140113230 is about 56036.7132333794. The cubic root of 3140113230 is about 1464.3619519594.

Adding to 3140113230 its reverse (323110413), we get a palindrome (3463223643).

The spelling of 3140113230 in words is "three billion, one hundred forty million, one hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 101 131 135 162 202 262 270 293 303 393 405 505 586 606 655 786 810 879 909 1010 1179 1310 1465 1515 1758 1818 1965 2358 2637 2727 2930 3030 3537 3930 4395 4545 5274 5454 5895 7074 7911 8181 8790 9090 10611 11790 13185 13231 13635 15822 16362 17685 21222 23733 26370 26462 27270 29593 35370 38383 39555 39693 40905 47466 53055 59186 66155 76766 79110 79386 81810 88779 106110 115149 118665 119079 132310 147965 177558 191915 198465 230298 237330 238158 266337 295930 345447 357237 383830 396930 443895 532674 575745 595395 690894 714474 799011 887790 1036341 1071711 1151490 1190790 1331685 1598022 1727235 1786185 2072682 2143422 2397033 2663370 3109023 3454470 3572370 3876683 3995055 4794066 5181705 5358555 6218046 7753366 7990110 10363410 10717110 11630049 11985165 15545115 19383415 23260098 23970330 31090230 34890147 38766830 58150245 69780294 104670441 116300490 174450735 209340882 314011323 348901470 523352205 628022646 1046704410 1570056615 3140113230