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42434522040 = 2335400388339
BaseRepresentation
bin100111100001010010…
…110110101110111000
311001112100001001220110
4213201102312232320
51143401214201130
631254423024320
73031365325461
oct474122665670
9131470031813
1042434522040
1116aa61aa529
12828329b0a0
134003567551
1420a7a55d68
1511855cbab0
hex9e14b6bb8

42434522040 has 64 divisors (see below), whose sum is σ = 127336809600. Its totient is φ = 11312917632.

The previous prime is 42434522029. The next prime is 42434522041. The reversal of 42434522040 is 4022543424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42434521989 and 42434522007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42434522041) 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 15 ways as a sum of consecutive naturals, for example, 436191 + ... + 524529.

It is an arithmetic number, because the mean of its divisors is an integer number (1989637650).

Almost surely, 242434522040 is an apocalyptic number.

42434522040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42434522040 is an abundant number, since it is smaller than the sum of its proper divisors (84902287560).

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

42434522040 is a wasteful number, since it uses less digits than its factorization.

42434522040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92356 (or 92352 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The spelling of 42434522040 in words is "forty-two billion, four hundred thirty-four million, five hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4003 8006 12009 16012 20015 24018 32024 40030 48036 60045 80060 88339 96072 120090 160120 176678 240180 265017 353356 441695 480360 530034 706712 883390 1060068 1325085 1766780 2120136 2650170 3533560 5300340 10600680 353621017 707242034 1060863051 1414484068 1768105085 2121726102 2828968136 3536210170 4243452204 5304315255 7072420340 8486904408 10608630510 14144840680 21217261020 42434522040