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9041207040 = 28345293197
BaseRepresentation
bin10000110101110010…
…11101111100000000
3212100002121220110000
420122321131330000
5122004022111130
64053052240000
7440022664125
oct103271357400
925302556400
109041207040
11391a586738
121903a70000
13b1117a368
1461aaa074c
1537db1b260
hex21ae5df00

9041207040 has 720 divisors, whose sum is σ = 34902362880. Its totient is φ = 2229534720.

The previous prime is 9041207033. The next prime is 9041207081. The reversal of 9041207040 is 407021409.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 9041206995 and 9041207013.

It is a congruent number.

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, 93208272 + ... + 93208368.

It is an arithmetic number, because the mean of its divisors is an integer number (48475504).

Almost surely, 29041207040 is an apocalyptic number.

9041207040 is a gapful number since it is divisible by the number (90) 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 9041207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17451181440).

9041207040 is an abundant number, since it is smaller than the sum of its proper divisors (25861155840).

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

9041207040 is a wasteful number, since it uses less digits than its factorization.

9041207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 9041207040 is about 95085.2619494735. The cubic root of 9041207040 is about 2083.2535865083.

Adding to 9041207040 its reverse (407021409), we get a palindrome (9448228449).

The spelling of 9041207040 in words is "nine billion, forty-one million, two hundred seven thousand, forty".