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42540363140 = 225111793892777
BaseRepresentation
bin100111100111100110…
…100110110110000100
311001210201012100121012
4213213212212312010
51144110313110030
631313123341352
73034122056222
oct474746466604
9131721170535
1042540363140
111704aa20510
1282b2821858
13401c474912
1420b7b27b12
15118ea37095
hex9e79a6d84

42540363140 has 96 divisors (see below), whose sum is σ = 98287862400. Its totient is φ = 15337733120.

The previous prime is 42540363113. The next prime is 42540363143. The reversal of 42540363140 is 4136304524.

It is a junction number, because it is equal to n+sod(n) for n = 42540363097 and 42540363106.

It is not an unprimeable number, because it can be changed into a prime (42540363143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15317432 + ... + 15320208.

It is an arithmetic number, because the mean of its divisors is an integer number (1023831900).

Almost surely, 242540363140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42540363140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49143931200).

42540363140 is an abundant number, since it is smaller than the sum of its proper divisors (55747499260).

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

42540363140 is a wasteful number, since it uses less digits than its factorization.

42540363140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 42540363140 its reverse (4136304524), we get a palindrome (46676667664).

The spelling of 42540363140 in words is "forty-two billion, five hundred forty million, three hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 389 716 778 895 1556 1790 1945 1969 2777 3580 3890 3938 4279 5554 7780 7876 8558 9845 11108 13885 17116 19690 21395 27770 30547 39380 42790 55540 61094 69631 85580 122188 139262 152735 278524 305470 348155 497083 610940 696310 765941 994166 1080253 1392620 1531882 1988332 2160506 2485415 3063764 3829705 4321012 4970830 5401265 5467913 7659410 9941660 10802530 10935826 11882783 15318820 21605060 21871652 23765566 27339565 47531132 54679130 59413915 109358260 118827830 193365287 237655660 386730574 773461148 966826435 1933652870 2127018157 3867305740 4254036314 8508072628 10635090785 21270181570 42540363140