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42041432232 = 23325930732237
BaseRepresentation
bin100111001001110111…
…010101100010101000
311000111221101001001200
4213021313111202220
51142100101312412
631151421444200
73015553164162
oct471167254250
9130457331050
1042041432232
1116914324318
128193710660
133c6cca5327
14206b76d932
151160d309dc
hex9c9dd58a8

42041432232 has 96 divisors (see below), whose sum is σ = 116172856800. Its totient is φ = 13730988672.

The previous prime is 42041432177. The next prime is 42041432239. The reversal of 42041432232 is 23223414024.

42041432232 is a `hidden beast` number, since 4 + 20 + 414 + 3 + 223 + 2 = 666.

42041432232 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 = 42041432196 and 42041432205.

It is not an unprimeable number, because it can be changed into a prime (42041432239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1288018 + ... + 1320254.

It is an arithmetic number, because the mean of its divisors is an integer number (1210133925).

Almost surely, 242041432232 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 42041432232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58086428400).

42041432232 is an abundant number, since it is smaller than the sum of its proper divisors (74131424568).

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

42041432232 is a wasteful number, since it uses less digits than its factorization.

42041432232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32615 (or 32608 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42041432232 its reverse (23223414024), we get a palindrome (65264846256).

The spelling of 42041432232 in words is "forty-two billion, forty-one million, four hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 307 354 472 531 614 708 921 1062 1228 1416 1842 2124 2456 2763 3684 4248 5526 7368 11052 18113 22104 32237 36226 54339 64474 72452 96711 108678 128948 144904 163017 193422 217356 257896 290133 326034 386844 434712 580266 652068 773688 1160532 1304136 1901983 2321064 3803966 5705949 7607932 9896759 11411898 15215864 17117847 19793518 22823796 29690277 34235694 39587036 45647592 59380554 68471388 79174072 89070831 118761108 136942776 178141662 237522216 356283324 583908781 712566648 1167817562 1751726343 2335635124 3503452686 4671270248 5255179029 7006905372 10510358058 14013810744 21020716116 42041432232