Search a number
-
+
43323104020 = 22572613532053
BaseRepresentation
bin101000010110010000…
…100001101100010100
311010211021001201020011
4220112100201230110
51202211203312040
631522524250004
73062405210500
oct502620415424
9133737051204
1043323104020
11174118432a9
1284909a0904
134115693ac1
14214da7d300
1511d86003ea
hexa16421b14

43323104020 has 144 divisors (see below), whose sum is σ = 107924373648. Its totient is φ = 14561648640.

The previous prime is 43323103987. The next prime is 43323104029. The reversal of 43323104020 is 2040132334.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6948222736 + 36374881284 = 83356^2 + 190722^2 .

It is a junction number, because it is equal to n+sod(n) for n = 43323103982 and 43323104000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43323104029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21101314 + ... + 21103366.

It is an arithmetic number, because the mean of its divisors is an integer number (749474817).

Almost surely, 243323104020 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 43323104020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53962186824).

43323104020 is an abundant number, since it is smaller than the sum of its proper divisors (64601269628).

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

43323104020 is a wasteful number, since it uses less digits than its factorization.

43323104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 43323104020 its reverse (2040132334), we get a palindrome (45363236354).

The spelling of 43323104020 in words is "forty-three billion, three hundred twenty-three million, one hundred four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 353 427 490 610 706 854 980 1220 1412 1708 1765 2053 2135 2471 2989 3530 4106 4270 4942 5978 7060 8212 8540 9884 10265 11956 12355 14371 14945 17297 20530 21533 24710 28742 29890 34594 41060 43066 49420 57484 59780 69188 71855 86132 86485 100597 107665 125233 143710 150731 172970 201194 215330 250466 287420 301462 345940 402388 430660 500932 502985 602924 626165 724709 753655 876631 1005970 1055117 1252330 1449418 1507310 1753262 2011940 2110234 2504660 2898836 3014620 3506524 3623545 4220468 4383155 5072963 5275585 6136417 7247090 8766310 10145926 10551170 12272834 14494180 17532620 20291852 21102340 24545668 25364815 30682085 35510741 44207249 50729630 61364170 71021482 88414498 101459260 122728340 142042964 176828996 177553705 221036245 309450743 355107410 442072490 618901486 710214820 884144980 1237802972 1547253715 2166155201 3094507430 4332310402 6189014860 8664620804 10830776005 21661552010 43323104020