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45332241024 = 27373344177
BaseRepresentation
bin101010001110000000…
…110001101010000000
311100000021121110001210
4222032000301222000
51220320023203044
632454135130120
73163242456000
oct521600615200
9140007543053
1045332241024
1118252960704
128951813940
1343759b9c75
1422a0836000
1512a4bba1b9
hexa8e031a80

45332241024 has 128 divisors (see below), whose sum is σ = 140424624000. Its totient is φ = 12952031232.

The previous prime is 45332240963. The next prime is 45332241029. The reversal of 45332241024 is 42014223354.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×453322410243 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45332240982 and 45332241000.

It is not an unprimeable number, because it can be changed into a prime (45332241029) 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, 40377 + ... + 303800.

It is an arithmetic number, because the mean of its divisors is an integer number (1097067375).

Almost surely, 245332241024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45332241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70212312000).

45332241024 is an abundant number, since it is smaller than the sum of its proper divisors (95092382976).

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

45332241024 is an equidigital number, since it uses as much as digits as its factorization.

45332241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344215 (or 344189 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 45332241024 its reverse (42014223354), we get a palindrome (87346464378).

The spelling of 45332241024 in words is "forty-five billion, three hundred thirty-two million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 343 384 392 448 588 672 686 784 896 1029 1176 1344 1372 1568 2058 2352 2688 2744 3136 4116 4704 5488 6272 8232 9408 10976 16464 18816 21952 32928 43904 65856 131712 344177 688354 1032531 1376708 2065062 2409239 2753416 4130124 4818478 5506832 7227717 8260248 9636956 11013664 14455434 16520496 16864673 19273912 22027328 28910868 33040992 33729346 38547824 44054656 50594019 57821736 66081984 67458692 77095648 101188038 115643472 118052711 132163968 134917384 154191296 202376076 231286944 236105422 269834768 308382592 354158133 404752152 462573888 472210844 539669536 708316266 809504304 925147776 944421688 1079339072 1416632532 1619008608 1888843376 2158678144 2833265064 3238017216 3777686752 5666530128 6476034432 7555373504 11333060256 15110747008 22666120512 45332241024