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42231112440 = 23351131993267
BaseRepresentation
bin100111010101001010…
…111010001011111000
311001000011021210101120
4213111022322023320
51142442131044230
631222315145240
73023345350536
oct472512721370
9131004253346
1042231112440
1116a013a8920
128227145220
133ca038833a
142088a27156
1511727ec310
hex9d52ba2f8

42231112440 has 64 divisors (see below), whose sum is σ = 138210917760. Its totient is φ = 10237845120.

The previous prime is 42231112423. The next prime is 42231112447. The reversal of 42231112440 is 4421113224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42231112440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42231112447) 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, 15995314 + ... + 15997953.

It is an arithmetic number, because the mean of its divisors is an integer number (2159545590).

Almost surely, 242231112440 is an apocalyptic number.

42231112440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42231112440 is an abundant number, since it is smaller than the sum of its proper divisors (95979805320).

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

42231112440 is a wasteful number, since it uses less digits than its factorization.

42231112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31993292 (or 31993288 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 42231112440 its reverse (4421113224), we get a palindrome (46652225664).

The spelling of 42231112440 in words is "forty-two billion, two hundred thirty-one million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 31993267 63986534 95979801 127973068 159966335 191959602 255946136 319932670 351925937 383919204 479899005 639865340 703851874 767838408 959798010 1055777811 1279730680 1407703748 1759629685 1919596020 2111555622 2815407496 3519259370 3839192040 4223111244 5278889055 7038518740 8446222488 10557778110 14077037480 21115556220 42231112440