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42431143032 = 2334223293633
BaseRepresentation
bin100111100001000101…
…111101110001111000
311001112002200101210000
4213201011331301320
51143344333034112
631254222353000
73031324523235
oct474105756170
9131462611700
1042431143032
1116aa4301863
12828212b760
134002953535
1420a741678c
1511851607dc
hex9e117dc78

42431143032 has 80 divisors (see below), whose sum is σ = 119379839040. Its totient is φ = 14080241664.

The previous prime is 42431143031. The next prime is 42431143037. The reversal of 42431143032 is 23034113424.

42431143032 is a `hidden beast` number, since 4 + 243 + 114 + 303 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42431142987 and 42431143005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42431143031) 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 19 ways as a sum of consecutive naturals, for example, 2313 + ... + 291320.

It is an arithmetic number, because the mean of its divisors is an integer number (1492247988).

Almost surely, 242431143032 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 42431143032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59689919520).

42431143032 is an abundant number, since it is smaller than the sum of its proper divisors (76948696008).

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

42431143032 is a wasteful number, since it uses less digits than its factorization.

42431143032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293874 (or 293861 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42431143032 its reverse (23034113424), we get a palindrome (65465256456).

The spelling of 42431143032 in words is "forty-two billion, four hundred thirty-one million, one hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 223 324 446 648 669 892 1338 1784 2007 2676 4014 5352 6021 8028 12042 16056 18063 24084 36126 48168 72252 144504 293633 587266 880899 1174532 1761798 2349064 2642697 3523596 5285394 7047192 7928091 10570788 15856182 21141576 23784273 31712364 47568546 63424728 65480159 95137092 130960318 190274184 196440477 261920636 392880954 523841272 589321431 785761908 1178642862 1571523816 1767964293 2357285724 3535928586 4714571448 5303892879 7071857172 10607785758 14143714344 21215571516 42431143032