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39994240000 = 2105411131923
BaseRepresentation
bin100101001111110101…
…111010110000000000
310211020021012220021011
4211033311322300000
51123402011140000
630212331210304
72614044300541
oct451765726000
9124207186234
1039994240000
1115a63784510
127901ba6994
133a04b16890
141d1590c4c8
15109124a2ba
hex94fd7ac00

39994240000 has 880 divisors, whose sum is σ = 128919732480. Its totient is φ = 12165120000.

The previous prime is 39994239991. The next prime is 39994240003. The reversal of 39994240000 is 4249993.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39994240003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1738879989 + ... + 1738880011.

It is an arithmetic number, because the mean of its divisors is an integer number (146499696).

Almost surely, 239994240000 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 39994240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64459866240).

39994240000 is an abundant number, since it is smaller than the sum of its proper divisors (88925492480).

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

39994240000 is a wasteful number, since it uses less digits than its factorization.

39994240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

Adding to 39994240000 its reverse (4249993), we get a palindrome (39998489993).

The spelling of 39994240000 in words is "thirty-nine billion, nine hundred ninety-four million, two hundred forty thousand".