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45041133040 = 24537132111519
BaseRepresentation
bin101001111100101010…
…010010010111110000
311022020222211121222121
4221330222102113300
51214221012224130
632405215444024
73153106212451
oct517452222760
9138228747877
1045041133040
11181135aa9a2
128890226614
13432a5b3617
142273cd9128
151289365d7a
hexa7ca925f0

45041133040 has 80 divisors (see below), whose sum is σ = 107641681920. Its totient is φ = 17514731520.

The previous prime is 45041133037. The next prime is 45041133041. The reversal of 45041133040 is 4033114054.

45041133040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 45041132996 and 45041133014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45041133041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3904401 + ... + 3915919.

It is an arithmetic number, because the mean of its divisors is an integer number (1345521024).

Almost surely, 245041133040 is an apocalyptic number.

45041133040 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 45041133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53820840960).

45041133040 is an abundant number, since it is smaller than the sum of its proper divisors (62600548880).

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

45041133040 is a wasteful number, since it uses less digits than its factorization.

45041133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12890 (or 12884 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 45041133040 its reverse (4033114054), we get a palindrome (49074247094).

The spelling of 45041133040 in words is "forty-five billion, forty-one million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1321 1480 2642 2960 5284 6605 10568 11519 13210 21136 23038 26420 46076 48877 52840 57595 92152 97754 105680 115190 184304 195508 230380 244385 391016 426203 460760 488770 782032 852406 921520 977540 1704812 1955080 2131015 3409624 3910160 4262030 6819248 8524060 15216599 17048120 30433198 34096240 60866396 76082995 121732792 152165990 243465584 304331980 563014163 608663960 1126028326 1217327920 2252056652 2815070815 4504113304 5630141630 9008226608 11260283260 22520566520 45041133040