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12040350453540 = 22325234693361967
BaseRepresentation
bin1010111100110101110011…
…0011111100111100100100
31120122001020201120112011200
42233031130303330330210
53034232114204003130
641335132144202500
72351613052136523
oct257153463747444
946561221515150
1012040350453540
113922313a37872
121425601009430
136945282568b6
142d8a829344ba
1515d2e5580760
hexaf35ccfcf24

12040350453540 has 144 divisors (see below), whose sum is σ = 38111753691648. Its totient is φ = 3071046857472.

The previous prime is 12040350453539. The next prime is 12040350453619. The reversal of 12040350453540 is 4535405304021.

12040350453540 is a `hidden beast` number, since 1 + 2 + 0 + 40 + 35 + 0 + 45 + 3 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12040350453495 and 12040350453504.

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, 194271637 + ... + 194333603.

It is an arithmetic number, because the mean of its divisors is an integer number (264664956192).

Almost surely, 212040350453540 is an apocalyptic number.

12040350453540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12040350453540 is an abundant number, since it is smaller than the sum of its proper divisors (26071403238108).

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

12040350453540 is a wasteful number, since it uses less digits than its factorization.

12040350453540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108938 (or 108933 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 12040350453540 its reverse (4535405304021), we get a palindrome (16575755757561).

The spelling of 12040350453540 in words is "twelve trillion, forty billion, three hundred fifty million, four hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 46933 61967 93866 123934 140799 185901 187732 234665 247868 281598 309835 371802 422397 469330 557703 563196 619670 703995 743604 844794 929505 938660 1079459 1115406 1239340 1407990 1425241 1689588 1859010 2111985 2158918 2230812 2788515 2815980 2850482 3238377 3718020 4223970 4275723 4317836 5397295 5577030 5700964 6476754 7126205 8447940 8551446 9715131 10794590 11154060 12827169 12953508 14252410 16191885 17102892 19430262 21378615 21589180 25654338 28504820 32383770 38860524 42757230 48575655 51308676 64135845 64767540 85514460 97151310 128271690 194302620 256543380 2908297211 5816594422 8724891633 11633188844 14541486055 17449783266 26174674899 29082972110 34899566532 43624458165 52349349798 58165944220 66890835853 87248916330 104698699596 130873374495 133781671706 174497832660 200672507559 261746748990 267563343412 334454179265 401345015118 523493497980 602017522677 668908358530 802690030236 1003362537795 1204035045354 1337816717060 2006725075590 2408070090708 3010087613385 4013450151180 6020175226770 12040350453540