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45512230140 = 2232513101192571
BaseRepresentation
bin101010011000101111…
…011000010011111100
311100110211021211201100
4222120233120103330
51221202112331030
632524045013100
73200556400416
oct523057302374
9140424254640
1045512230140
1118335516143
1289a1b54190
1343a4088bc0
1422ba6c99b6
1512b58c0360
hexa98bd84fc

45512230140 has 144 divisors (see below), whose sum is σ = 150146077536. Its totient is φ = 11092032000.

The previous prime is 45512230123. The next prime is 45512230147. The reversal of 45512230140 is 4103221554.

45512230140 is a `hidden beast` number, since 4 + 5 + 512 + 2 + 3 + 0 + 140 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45512230147) 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 47 ways as a sum of consecutive naturals, for example, 140055 + ... + 332625.

It is an arithmetic number, because the mean of its divisors is an integer number (1042681094).

Almost surely, 245512230140 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 45512230140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75073038768).

45512230140 is an abundant number, since it is smaller than the sum of its proper divisors (104633847396).

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

45512230140 is a wasteful number, since it uses less digits than its factorization.

45512230140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192700 (or 192695 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 45512230140 its reverse (4103221554), we get a palindrome (49615451694).

The spelling of 45512230140 in words is "forty-five billion, five hundred twelve million, two hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 101 117 130 156 180 195 202 234 260 303 390 404 468 505 585 606 780 909 1010 1170 1212 1313 1515 1818 2020 2340 2626 3030 3636 3939 4545 5252 6060 6565 7878 9090 11817 13130 15756 18180 19695 23634 26260 39390 47268 59085 78780 118170 192571 236340 385142 577713 770284 962855 1155426 1733139 1925710 2310852 2503423 2888565 3466278 3851420 5006846 5777130 6932556 7510269 8665695 10013692 11554260 12517115 15020538 17331390 19449671 22530807 25034230 30041076 34662780 37551345 38899342 45061614 50068460 58349013 75102690 77798684 90123228 97248355 112654035 116698026 150205380 175047039 194496710 225308070 233396052 252845723 291745065 350094078 388993420 450616140 505691446 583490130 700188156 758537169 875235195 1011382892 1166980260 1264228615 1517074338 1750470390 2275611507 2528457230 3034148676 3500940780 3792685845 4551223014 5056914460 7585371690 9102446028 11378057535 15170743380 22756115070 45512230140