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12450305140 = 22572134322727
BaseRepresentation
bin10111001100001100…
…01001010001110100
31012010200110000212121
423212012021101310
5200444234231030
65415233125324
7620346563500
oct134606112164
935120400777
1012450305140
115309966589
1224b56b9844
13123553a380
14861759300
154cd06e47a
hex2e6189474

12450305140 has 144 divisors (see below), whose sum is σ = 33517072512. Its totient is φ = 3848511744.

The previous prime is 12450305111. The next prime is 12450305209. The reversal of 12450305140 is 4150305421.

It is a happy number.

It is a super-2 number, since 2×124503051402 (a number of 21 digits) contains 22 as substring.

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, 536457 + ... + 559183.

It is an arithmetic number, because the mean of its divisors is an integer number (232757448).

Almost surely, 212450305140 is an apocalyptic number.

12450305140 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 12450305140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16758536256).

12450305140 is an abundant number, since it is smaller than the sum of its proper divisors (21066767372).

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

12450305140 is a wasteful number, since it uses less digits than its factorization.

12450305140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22806 (or 22797 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 12450305140 in words is "twelve billion, four hundred fifty million, three hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 43 49 52 65 70 86 91 98 130 140 172 182 196 215 245 260 301 364 430 455 490 559 602 637 860 910 980 1118 1204 1274 1505 1820 2107 2236 2548 2795 3010 3185 3913 4214 5590 6020 6370 7826 8428 10535 11180 12740 15652 19565 21070 22727 27391 39130 42140 45454 54782 78260 90908 109564 113635 136955 159089 227270 273910 295451 318178 454540 547820 590902 636356 795445 977261 1113623 1181804 1477255 1590890 1954522 2068157 2227246 2954510 3181780 3909044 4136314 4454492 4886305 5568115 5909020 6840827 8272628 9772610 10340785 11136230 12704393 13681654 14477099 19545220 20681570 22272460 25408786 27363308 28954198 34204135 41363140 47885789 50817572 57908396 63521965 68408270 72385495 88930751 95771578 127043930 136816540 144770990 177861502 191543156 239428945 254087860 289541980 355723004 444653755 478857890 622515257 889307510 957715780 1245030514 1778615020 2490061028 3112576285 6225152570 12450305140