Search a number
-
+
44302225440 = 25351123935107
BaseRepresentation
bin101001010000100111…
…100101000000100000
311020100111110020022110
4221100213211000200
51211212332203230
632204022235320
73125564463054
oct512047450040
9136314406273
1044302225440
11178744a6760
128704885b40
1342404a09a5
142203b13c64
15124455a4b0
hexa509e5020

44302225440 has 192 divisors, whose sum is σ = 152879892480. Its totient is φ = 10694691840.

The previous prime is 44302225433. The next prime is 44302225447. The reversal of 44302225440 is 4452220344.

It is an interprime number because it is at equal distance from previous prime (44302225433) and next prime (44302225447).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44302225398 and 44302225407.

It is not an unprimeable number, because it can be changed into a prime (44302225447) 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, 1244367 + ... + 1279473.

It is an arithmetic number, because the mean of its divisors is an integer number (796249440).

Almost surely, 244302225440 is an apocalyptic number.

44302225440 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 44302225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76439946240).

44302225440 is an abundant number, since it is smaller than the sum of its proper divisors (108577667040).

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

44302225440 is a wasteful number, since it uses less digits than its factorization.

44302225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35375 (or 35367 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 44302225440 its reverse (4452220344), we get a palindrome (48754445784).

The spelling of 44302225440 in words is "forty-four billion, three hundred two million, two hundred twenty-five thousand, four hundred forty".