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42815230542 = 23271674314721
BaseRepresentation
bin100111110111111111…
…001001001001001110
311002111212102001210100
4213313333021021032
51200141144334132
631400302551530
73044000312010
oct476777111116
9132455361710
1042815230542
1117181099457
12836a8985a6
1340643b3056
1421024381b0
1511a8c2e37c
hex9f7fc924e

42815230542 has 96 divisors (see below), whose sum is σ = 106923608064. Its totient is φ = 12128889600.

The previous prime is 42815230537. The next prime is 42815230543. The reversal of 42815230542 is 24503251824.

42815230542 is a `hidden beast` number, since 4 + 2 + 81 + 5 + 2 + 30 + 542 = 666.

It is a super-2 number, since 2×428152305422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42815230497 and 42815230506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42815230543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9066742 + ... + 9071462.

It is an arithmetic number, because the mean of its divisors is an integer number (1113787584).

Almost surely, 242815230542 is an apocalyptic number.

42815230542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42815230542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53461804032).

42815230542 is an abundant number, since it is smaller than the sum of its proper divisors (64108377522).

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

42815230542 is a wasteful number, since it uses less digits than its factorization.

42815230542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 42815230542 in words is "forty-two billion, eight hundred fifteen million, two hundred thirty thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 167 334 431 501 862 1002 1169 1293 1503 2338 2586 3006 3017 3507 3879 4721 6034 7014 7758 9051 9442 10521 14163 18102 21042 27153 28326 33047 42489 54306 66094 71977 84978 99141 143954 198282 215931 297423 431862 503839 594846 647793 788407 1007678 1295586 1511517 1576814 2034751 2365221 3023034 4069502 4534551 4730442 5518849 6104253 7095663 9069102 11037698 12208506 14191326 14243257 16556547 18312759 28486514 33113094 36625518 42729771 49669641 85459542 99339282 128189313 256378626 339803417 679606834 1019410251 2038820502 2378623919 3058230753 4757247838 6116461506 7135871757 14271743514 21407615271 42815230542