Search a number
-
+
45423342000 = 2434531991409
BaseRepresentation
bin101010010011011100…
…010011000110110000
311100020122000212010000
4222103130103012300
51221011333421000
632511151510000
73165430015341
oct522334230660
9140218025100
1045423342000
111829a324173
128978228300
13438b83607a
1422ac98c0c8
1512acbb3000
hexa937131b0

45423342000 has 400 divisors, whose sum is σ = 165013992000. Its totient is φ = 12043468800.

The previous prime is 45423341993. The next prime is 45423342037. The reversal of 45423342000 is 24332454.

45423342000 is a `hidden beast` number, since 4 + 5 + 4 + 233 + 420 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32237296 + ... + 32238704.

It is an arithmetic number, because the mean of its divisors is an integer number (412534980).

Almost surely, 245423342000 is an apocalyptic number.

45423342000 is a gapful number since it is divisible by the number (40) 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 45423342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82506996000).

45423342000 is an abundant number, since it is smaller than the sum of its proper divisors (119590650000).

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

45423342000 is a wasteful number, since it uses less digits than its factorization.

45423342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 45423342000 its reverse (24332454), we get a palindrome (45447674454).

The spelling of 45423342000 in words is "forty-five billion, four hundred twenty-three million, three hundred forty-two thousand".