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3141365656 = 23111331283313
BaseRepresentation
bin1011101100111101…
…0110111110011000
322002221000220120011
42323033112332120
522413142200111
61235414211304
7140563111312
oct27317267630
98087026504
103141365656
111372245570
12738053b34
133b0a7c360
1421b2c47b2
15135bba021
hexbb3d6f98

3141365656 has 128 divisors (see below), whose sum is σ = 7191152640. Its totient is φ = 1266969600.

The previous prime is 3141365653. The next prime is 3141365671. The reversal of 3141365656 is 6565631413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141365653) 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, 10036156 + ... + 10036468.

It is an arithmetic number, because the mean of its divisors is an integer number (56180880).

Almost surely, 23141365656 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 3141365656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595576320).

3141365656 is an abundant number, since it is smaller than the sum of its proper divisors (4049786984).

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

3141365656 is a wasteful number, since it uses less digits than its factorization.

3141365656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 653 counting only the distinct ones).

The product of its digits is 194400, while the sum is 40.

The square root of 3141365656 is about 56047.8871680280. The cubic root of 3141365656 is about 1464.5566117346.

The spelling of 3141365656 in words is "three billion, one hundred forty-one million, three hundred sixty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 248 283 286 313 341 403 566 572 626 682 806 1132 1144 1252 1364 1612 2264 2504 2728 3113 3224 3443 3679 4069 4433 6226 6886 7358 8138 8773 8866 9703 12452 13772 14716 16276 17546 17732 19406 24904 27544 29432 32552 35092 35464 38812 40469 44759 70184 77624 80938 88579 89518 96503 106733 114049 126139 161876 177158 179036 193006 213466 228098 252278 323752 354316 358072 386012 426932 456196 504556 708632 772024 853864 912392 974369 1009112 1151527 1254539 1387529 1948738 2303054 2509078 2745949 2775058 3897476 4606108 5018156 5491898 5550116 7794952 9212216 10036312 10983796 11100232 12666797 21967592 25333594 30205439 35697337 50667188 60410878 71394674 101334376 120821756 142789348 241643512 285578696 392670707 785341414 1570682828 3141365656