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45444112340 = 225111392117043
BaseRepresentation
bin101010010100101011…
…100001111111010100
311100022002010002122212
4222110223201333110
51221032143043330
632513213012552
73166101403304
oct522453417724
9140262102585
1045444112340
1118300020240
128983184158
134392c29003
1422b1637604
1512ae917295
hexa94ae1fd4

45444112340 has 96 divisors (see below), whose sum is σ = 105369223680. Its totient is φ = 16326172800.

The previous prime is 45444112339. The next prime is 45444112349. The reversal of 45444112340 is 4321144454.

It is a junction number, because it is equal to n+sod(n) for n = 45444112297 and 45444112306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45444112349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6448859 + ... + 6455901.

It is an arithmetic number, because the mean of its divisors is an integer number (1097596080).

Almost surely, 245444112340 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 45444112340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52684611840).

45444112340 is an abundant number, since it is smaller than the sum of its proper divisors (59925111340).

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

45444112340 is a wasteful number, since it uses less digits than its factorization.

45444112340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7413 (or 7411 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 45444112340 its reverse (4321144454), we get a palindrome (49765256794).

The spelling of 45444112340 in words is "forty-five billion, four hundred forty-four million, one hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 139 211 220 278 422 556 695 844 1055 1390 1529 2110 2321 2780 3058 4220 4642 6116 7043 7645 9284 11605 14086 15290 23210 28172 29329 30580 35215 46420 58658 70430 77473 117316 140860 146645 154946 293290 309892 322619 387365 586580 645238 774730 978977 1290476 1486073 1549460 1613095 1957954 2972146 3226190 3915908 4894885 5944292 6452380 7430365 9789770 10768747 14860730 16346803 19579540 21537494 29721460 32693606 43074988 53843735 65387212 81734015 107687470 163468030 206564147 215374940 326936060 413128294 826256588 1032820735 2065641470 2272205617 4131282940 4544411234 9088822468 11361028085 22722056170 45444112340