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12540451140 = 22325728135419
BaseRepresentation
bin10111010110111100…
…00001100101000100
31012100222001220221100
423223132001211010
5201140323414030
65432213220100
7622523035020
oct135336014504
935328056840
1012540451140
115355837608
12251b931630
13124b1108b9
1486d703380
154d5e29360
hex2eb781944

12540451140 has 144 divisors (see below), whose sum is σ = 43629505920. Its totient is φ = 2856107520.

The previous prime is 12540451109. The next prime is 12540451141. The reversal of 12540451140 is 4115404521.

12540451140 is a `hidden beast` number, since 1 + 2 + 540 + 4 + 5 + 114 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (12540451141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336351 + ... + 371769.

It is an arithmetic number, because the mean of its divisors is an integer number (302982680).

Almost surely, 212540451140 is an apocalyptic number.

12540451140 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 12540451140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21814752960).

12540451140 is an abundant number, since it is smaller than the sum of its proper divisors (31089054780).

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

12540451140 is a wasteful number, since it uses less digits than its factorization.

12540451140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35722 (or 35717 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 12540451140 its reverse (4115404521), we get a palindrome (16655855661).

The spelling of 12540451140 in words is "twelve billion, five hundred forty million, four hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 281 315 420 562 630 843 1124 1260 1405 1686 1967 2529 2810 3372 3934 4215 5058 5620 5901 7868 8430 9835 10116 11802 12645 16860 17703 19670 23604 25290 29505 35406 35419 39340 50580 59010 70812 70838 88515 106257 118020 141676 177030 177095 212514 247933 318771 354060 354190 425028 495866 531285 637542 708380 743799 991732 1062570 1239665 1275084 1487598 1593855 2125140 2231397 2479330 2975196 3187710 3718995 4462794 4958660 6375420 7437990 8925588 9952739 11156985 14875980 19905478 22313970 29858217 39810956 44627940 49763695 59716434 69669173 89574651 99527390 119432868 139338346 149291085 179149302 199054780 209007519 278676692 298582170 348345865 358298604 418015038 447873255 597164340 627022557 696691730 836030076 895746510 1045037595 1254045114 1393383460 1791493020 2090075190 2508090228 3135112785 4180150380 6270225570 12540451140