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44973050040 = 233557165167
BaseRepresentation
bin101001111000100110…
…100100100010111000
311022002020201122200000
4221320212210202320
51214101100100130
632354344313000
73151321421652
oct517046444270
9138066648600
1044973050040
1118089129156
128871472760
134319466519
142268c556d2
1512833b8260
hexa789a48b8

44973050040 has 192 divisors, whose sum is σ = 153713064960. Its totient is φ = 11823719040.

The previous prime is 44973050029. The next prime is 44973050063. The reversal of 44973050040 is 4005037944.

44973050040 is a `hidden beast` number, since 4 + 49 + 73 + 0 + 500 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44973049977 and 44973050004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657537 + ... + 722703.

It is an arithmetic number, because the mean of its divisors is an integer number (800588880).

Almost surely, 244973050040 is an apocalyptic number.

44973050040 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 44973050040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76856532480).

44973050040 is an abundant number, since it is smaller than the sum of its proper divisors (108740014920).

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

44973050040 is a wasteful number, since it uses less digits than its factorization.

44973050040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65264 (or 65248 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 44973050040 its reverse (4005037944), we get a palindrome (48978087984).

The spelling of 44973050040 in words is "forty-four billion, nine hundred seventy-three million, fifty thousand, forty".