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10133340240 = 2435417314107
BaseRepresentation
bin10010110111111111…
…01000000001010000
3222011012200000112210
421123333220001100
5131223113341430
64353304352120
7506053654002
oct113377500120
928135600483
1010133340240
114330008561
121b69775640
13c5650541a
146c1b52372
153e494b2b0
hex25bfe8050

10133340240 has 160 divisors (see below), whose sum is σ = 32622662016. Its totient is φ = 2600017920.

The previous prime is 10133340209. The next prime is 10133340307. The reversal of 10133340240 is 4204333101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711267 + ... + 725373.

Almost surely, 210133340240 is an apocalyptic number.

10133340240 is a gapful number since it is divisible by the number (10) 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 10133340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311331008).

10133340240 is an abundant number, since it is smaller than the sum of its proper divisors (22489321776).

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

10133340240 is a wasteful number, since it uses less digits than its factorization.

10133340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14237 (or 14231 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10133340240 its reverse (4204333101), we get a palindrome (14337673341).

The spelling of 10133340240 in words is "ten billion, one hundred thirty-three million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 73 80 82 120 123 146 164 205 219 240 246 292 328 365 410 438 492 584 615 656 730 820 876 984 1095 1168 1230 1460 1640 1752 1968 2190 2460 2920 2993 3280 3504 4380 4920 5840 5986 8760 8979 9840 11972 14107 14965 17520 17958 23944 28214 29930 35916 42321 44895 47888 56428 59860 70535 71832 84642 89790 112856 119720 141070 143664 169284 179580 211605 225712 239440 282140 338568 359160 423210 564280 578387 677136 718320 846420 1029811 1128560 1156774 1692840 1735161 2059622 2313548 2891935 3089433 3385680 3470322 4119244 4627096 5149055 5783870 6178866 6940644 8238488 8675805 9254192 10298110 11567740 12357732 13881288 15447165 16476976 17351610 20596220 23135480 24715464 27762576 30894330 34703220 41192440 42222251 46270960 49430928 61788660 69406440 82384880 84444502 123577320 126666753 138812880 168889004 211111255 247154640 253333506 337778008 422222510 506667012 633333765 675556016 844445020 1013334024 1266667530 1688890040 2026668048 2533335060 3377780080 5066670120 10133340240