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32314223040 = 2635119731547
BaseRepresentation
bin11110000110000100…
…111110100111000000
310002102000220121120120
4132012010332213000
51012134420114130
622502301540240
72222530235541
oct360604764700
9102360817516
1032314223040
111278259a060
126319b74680
13307c97a048
1417c793a4c8
15c91da9910
hex78613e9c0

32314223040 has 224 divisors, whose sum is σ = 113082165504. Its totient is φ = 7752744960.

The previous prime is 32314223009. The next prime is 32314223041. The reversal of 32314223040 is 4032241323.

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 32314223040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32314223041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008547 + ... + 1040093.

It is an arithmetic number, because the mean of its divisors is an integer number (504831096).

Almost surely, 232314223040 is an apocalyptic number.

32314223040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32314223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56541082752).

32314223040 is an abundant number, since it is smaller than the sum of its proper divisors (80767942464).

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

32314223040 is a wasteful number, since it uses less digits than its factorization.

32314223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31675 (or 31665 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 32314223040 its reverse (4032241323), we get a palindrome (36346464363).

The spelling of 32314223040 in words is "thirty-two billion, three hundred fourteen million, two hundred twenty-three thousand, forty".