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42341026240 = 265431433709
BaseRepresentation
bin100111011011101110…
…001100100111000000
311001021211002222210001
4213123232030213000
51143203300314430
631241243045344
73026151533122
oct473356144700
9131254088701
1042341026240
1116a58450777
128257b10854
133cba0903a6
142099479212
15117c2ae3ca
hex9dbb8c9c0

42341026240 has 112 divisors (see below), whose sum is σ = 101434757760. Its totient is φ = 16834314240.

The previous prime is 42341026229. The next prime is 42341026249. The reversal of 42341026240 is 4262014324.

42341026240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42341026199 and 42341026208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42341026249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59719006 + ... + 59719714.

It is an arithmetic number, because the mean of its divisors is an integer number (905667480).

Almost surely, 242341026240 is an apocalyptic number.

42341026240 is a gapful number since it is divisible by the number (40) 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 42341026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50717378880).

42341026240 is an abundant number, since it is smaller than the sum of its proper divisors (59093731520).

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

42341026240 is a wasteful number, since it uses less digits than its factorization.

42341026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 42341026240 in words is "forty-two billion, three hundred forty-one million, twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 431 433 709 862 866 1418 1724 1732 2155 2165 2836 3448 3464 3545 4310 4330 5672 6896 6928 7090 8620 8660 11344 13792 13856 14180 17240 17320 22688 27584 27712 28360 34480 34640 45376 56720 68960 69280 113440 137920 138560 186623 226880 305579 306997 373246 611158 613994 746492 933115 1222316 1227988 1492984 1527895 1534985 1866230 2444632 2455976 2985968 3055790 3069970 3732460 4889264 4911952 5971936 6111580 6139940 7464920 9778528 9823904 11943872 12223160 12279880 14929840 19557056 19647808 24446320 24559760 29859680 48892640 49119520 59719360 97785280 98239040 132315707 264631414 529262828 661578535 1058525656 1323157070 2117051312 2646314140 4234102624 5292628280 8468205248 10585256560 21170513120 42341026240