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45003012324 = 22319271146317
BaseRepresentation
bin101001111010011000…
…110111100011100100
311022011100002220012020
4221322120313203210
51214131232343244
632401334423140
73152134202364
oct517230674344
9138140086166
1045003012324
11180a4033276
12887b501ab0
13432272729a
14226cc149a4
151285d35d19
hexa7a6378e4

45003012324 has 72 divisors (see below), whose sum is σ = 112386270528. Its totient is φ = 14011220160.

The previous prime is 45003012293. The next prime is 45003012367. The reversal of 45003012324 is 42321030054.

It is a super-2 number, since 2×450030123242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45003012294 and 45003012303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234414 + ... + 380730.

It is an arithmetic number, because the mean of its divisors is an integer number (1560920424).

Almost surely, 245003012324 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 45003012324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56193135264).

45003012324 is an abundant number, since it is smaller than the sum of its proper divisors (67383258204).

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

45003012324 is a wasteful number, since it uses less digits than its factorization.

45003012324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146433 (or 146412 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 45003012324 its reverse (42321030054), we get a palindrome (87324042378).

The spelling of 45003012324 in words is "forty-five billion, three million, twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 71 76 114 142 213 228 284 361 426 722 852 1083 1349 1444 2166 2698 4047 4332 5396 8094 16188 25631 51262 76893 102524 146317 153786 292634 307572 438951 585268 877902 1755804 2780023 5560046 8340069 10388507 11120092 16680138 20777014 31165521 33360276 41554028 52820437 62331042 105640874 124662084 158461311 197381633 211281748 316922622 394763266 592144899 633845244 789526532 1184289798 2368579596 3750251027 7500502054 11250753081 15001004108 22501506162 45003012324