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42015253240 = 23510319515227
BaseRepresentation
bin100111001000010011…
…011110001011111000
311000110010010000020101
4213020103132023320
51142021401100430
631145044405144
73015114521452
oct471023361370
9130403100211
1042015253240
1116900573694
1281869a67b4
133c6773a5bc
1420680b72d2
15115d8addca
hex9c84de2f8

42015253240 has 64 divisors (see below), whose sum is σ = 95519324160. Its totient is φ = 16631222400.

The previous prime is 42015253237. The next prime is 42015253249. The reversal of 42015253240 is 4235251024.

42015253240 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 = 42015253199 and 42015253208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42015253249) 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, 8035507 + ... + 8040733.

It is an arithmetic number, because the mean of its divisors is an integer number (1492489440).

Almost surely, 242015253240 is an apocalyptic number.

42015253240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42015253240 is an abundant number, since it is smaller than the sum of its proper divisors (53504070920).

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

42015253240 is a wasteful number, since it uses less digits than its factorization.

42015253240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7292 (or 7288 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The spelling of 42015253240 in words is "forty-two billion, fifteen million, two hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 1030 1951 2060 3902 4120 5227 7804 9755 10454 15608 19510 20908 26135 39020 41816 52270 78040 104540 200953 209080 401906 538381 803812 1004765 1076762 1607624 2009530 2153524 2691905 4019060 4307048 5383810 8038120 10197877 10767620 20395754 21535240 40791508 50989385 81583016 101978770 203957540 407915080 1050381331 2100762662 4201525324 5251906655 8403050648 10503813310 21007626620 42015253240