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45334321040 = 2453715315649
BaseRepresentation
bin101010001110001000…
…101101011110010000
311100000102112010022102
4222032020231132100
51220321041233130
632454251455532
73163266241121
oct521610553620
9140012463272
1045334321040
1118254051428
1289524575a8
134376267948
1422a0c18048
1512a4e7b645
hexa8e22d790

45334321040 has 40 divisors (see below), whose sum is σ = 108251014200. Its totient is φ = 17643626496.

The previous prime is 45334321013. The next prime is 45334321069. The reversal of 45334321040 is 4012343354.

It can be written as a sum of positive squares in 4 ways, for example, as 17709221776 + 27625099264 = 133076^2 + 166208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 45334320994 and 45334321012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7654865 + ... + 7660784.

It is an arithmetic number, because the mean of its divisors is an integer number (2706275355).

Almost surely, 245334321040 is an apocalyptic number.

45334321040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45334321040 is an abundant number, since it is smaller than the sum of its proper divisors (62916693160).

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

45334321040 is a wasteful number, since it uses less digits than its factorization.

45334321040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15315699 (or 15315693 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 45334321040 its reverse (4012343354), we get a palindrome (49346664394).

The spelling of 45334321040 in words is "forty-five billion, three hundred thirty-four million, three hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 15315649 30631298 61262596 76578245 122525192 153156490 245050384 306312980 566679013 612625960 1133358026 1225251920 2266716052 2833395065 4533432104 5666790130 9066864208 11333580260 22667160520 45334321040