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42241431240 = 23325271432979
BaseRepresentation
bin100111010101110010…
…010001011011001000
311001000212201001010100
4213111302101123020
51143002301244430
631223324245400
73023532145521
oct472562213310
9131025631110
1042241431240
1116a07206558
12822a6a0860
133ca255c038
14208a151848
151173689960
hex9d5c916c8

42241431240 has 96 divisors (see below), whose sum is σ = 137791555200. Its totient is φ = 11222789760.

The previous prime is 42241431229. The next prime is 42241431257. The reversal of 42241431240 is 4213414224.

42241431240 is a `hidden beast` number, since 4 + 2 + 2 + 414 + 3 + 1 + 240 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118930 + ... + 314049.

It is an arithmetic number, because the mean of its divisors is an integer number (1435328700).

Almost surely, 242241431240 is an apocalyptic number.

42241431240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42241431240 is an abundant number, since it is smaller than the sum of its proper divisors (95550123960).

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

42241431240 is a wasteful number, since it uses less digits than its factorization.

42241431240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433267 (or 433260 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42241431240 its reverse (4213414224), we get a palindrome (46454845464).

The spelling of 42241431240 in words is "forty-two billion, two hundred forty-one million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 271 360 542 813 1084 1355 1626 2168 2439 2710 3252 4065 4878 5420 6504 8130 9756 10840 12195 16260 19512 24390 32520 48780 97560 432979 865958 1298937 1731916 2164895 2597874 3463832 3896811 4329790 5195748 6494685 7793622 8659580 10391496 12989370 15587244 17319160 19484055 25978740 31174488 38968110 51957480 77936220 117337309 155872440 234674618 352011927 469349236 586686545 704023854 938698472 1056035781 1173373090 1408047708 1760059635 2112071562 2346746180 2816095416 3520119270 4224143124 4693492360 5280178905 7040238540 8448286248 10560357810 14080477080 21120715620 42241431240