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269434282140 = 2232517593148483
BaseRepresentation
bin1111101011101110001…
…0001110000010011100
3221202110100010200100200
43322323202032002130
513403300134012030
6323435411423500
725315555416312
oct3727342160234
9852410120320
10269434282140
11a42a26a0051
1244274bb4b90
131c53b4b201a
14d07d9160b2
15701e089d60
hex3ebb88e09c

269434282140 has 144 divisors (see below), whose sum is σ = 866824646688. Its totient is φ = 67508232192.

The previous prime is 269434282133. The next prime is 269434282163. The reversal of 269434282140 is 41282434962.

269434282140 is a `hidden beast` number, since 2 + 6 + 9 + 4 + 3 + 428 + 214 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1740339 + ... + 1888821.

It is an arithmetic number, because the mean of its divisors is an integer number (6019615602).

Almost surely, 2269434282140 is an apocalyptic number.

269434282140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 269434282140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433412323344).

269434282140 is an abundant number, since it is smaller than the sum of its proper divisors (597390364548).

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

269434282140 is a wasteful number, since it uses less digits than its factorization.

269434282140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149108 (or 149103 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 269434282140 in words is "two hundred sixty-nine billion, four hundred thirty-four million, two hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 593 612 765 1020 1186 1530 1779 2372 2965 3060 3558 5337 5930 7116 8895 10081 10674 11860 17790 20162 21348 26685 30243 35580 40324 50405 53370 60486 90729 100810 106740 120972 148483 151215 181458 201620 296966 302430 362916 445449 453645 593932 604860 742415 890898 907290 1336347 1484830 1781796 1814580 2227245 2524211 2672694 2969660 4454490 5048422 5345388 6681735 7572633 8908980 10096844 12621055 13363470 15145266 22717899 25242110 26726940 30290532 37863165 45435798 50484220 75726330 88050419 90871596 113589495 151452660 176100838 227178990 264151257 352201676 440252095 454357980 528302514 792453771 880504190 1056605028 1320756285 1496857123 1584907542 1761008380 2641512570 2993714246 3169815084 3962268855 4490571369 5283025140 5987428492 7484285615 7924537710 8981142738 13471714107 14968571230 15849075420 17962285476 22452856845 26943428214 29937142460 44905713690 53886856428 67358570535 89811427380 134717141070 269434282140