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45511431440 = 245619326113
BaseRepresentation
bin101010011000101100…
…010101010100010000
311100110202210021002212
4222120230111110100
51221201411301230
632524015531252
73200546533016
oct523054252420
9140422707085
1045511431440
1118335020062
1289a1829b28
1343a3b694b7
1422ba55c8b6
1512b57b3895
hexa98b15510

45511431440 has 40 divisors (see below), whose sum is σ = 107548746648. Its totient is φ = 17906135040.

The previous prime is 45511431397. The next prime is 45511431473. The reversal of 45511431440 is 4413411554.

It can be written as a sum of positive squares in 4 ways, for example, as 424854544 + 45086576896 = 20612^2 + 212336^2 .

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 = 45511431397 and 45511431406.

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, 4658177 + ... + 4667936.

Almost surely, 245511431440 is an apocalyptic number.

45511431440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45511431440 is an abundant number, since it is smaller than the sum of its proper divisors (62037315208).

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

45511431440 is a wasteful number, since it uses less digits than its factorization.

45511431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9326187 (or 9326181 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 45511431440 its reverse (4413411554), we get a palindrome (49924842994).

The spelling of 45511431440 in words is "forty-five billion, five hundred eleven million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 9326113 18652226 37304452 46630565 74608904 93261130 149217808 186522260 373044520 568892893 746089040 1137785786 2275571572 2844464465 4551143144 5688928930 9102286288 11377857860 22755715720 45511431440