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43223440341432 = 233131372003504851
BaseRepresentation
bin10011101001111101111011…
…10011101011100110111000
312200001010020212121200201210
421310332331303223212320
521131133101211411212
6231532324021443120
712050535100625511
oct1164767563534670
9180033225550653
1043223440341432
1112854a5a27044a
124a20baa8704a0
131b16c507a0340
14a96050647a08
154ee51a6c653c
hex274fbdceb9b8

43223440341432 has 128 divisors (see below), whose sum is σ = 117278977455360. Its totient is φ = 13195825843200.

The previous prime is 43223440341413. The next prime is 43223440341437. The reversal of 43223440341432 is 23414304432234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43223440341437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85363807 + ... + 85868657.

It is an arithmetic number, because the mean of its divisors is an integer number (916242011370).

Almost surely, 243223440341432 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 43223440341432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58639488727680).

43223440341432 is an abundant number, since it is smaller than the sum of its proper divisors (74055537113928).

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

43223440341432 is a wasteful number, since it uses less digits than its factorization.

43223440341432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507013 (or 507009 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 43223440341432 its reverse (23414304432234), we get a palindrome (66637744773666).

The spelling of 43223440341432 in words is "forty-three trillion, two hundred twenty-three billion, four hundred forty million, three hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 137 156 274 312 411 548 822 1096 1644 1781 2003 3288 3562 4006 5343 6009 7124 8012 10686 12018 14248 16024 21372 24036 26039 42744 48072 52078 78117 104156 156234 208312 274411 312468 504851 548822 624936 823233 1009702 1097644 1514553 1646466 2019404 2195288 3029106 3292932 3567343 4038808 6058212 6563063 6585864 7134686 10702029 12116424 13126126 14269372 19689189 21404058 26252252 28538744 39378378 42808116 52504504 69164587 78756756 85616232 138329174 157513512 207493761 276658348 414987522 553316696 829975044 899139631 1011216553 1659950088 1798279262 2022433106 2697418893 3033649659 3596558524 4044866212 5394837786 6067299318 7193117048 8089732424 10789675572 12134598636 13145815189 21579351144 24269197272 26291630378 39437445567 52583260756 78874891134 105166521512 138536667761 157749782268 277073335522 315499564536 415610003283 554146671044 831220006566 1108293342088 1662440013132 1800976680893 3324880026264 3601953361786 5402930042679 7203906723572 10805860085358 14407813447144 21611720170716 43223440341432