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132312022132240 = 24563431348719333
BaseRepresentation
bin11110000101011001001011…
…000101000010011000010000
3122100110220110022112202120001
4132011121023011002120100
5114320300010131212430
61145223145344055344
736604141152445336
oct3605311305023020
9570426408482501
10132312022132240
1139182239143195
1212a0ab58604554
1358a9c7c55b772
142495d166cdb56
151046b153c83ca
hex78564b142610

132312022132240 has 80 divisors (see below), whose sum is σ = 307712678128128. Its totient is φ = 52909804620288.

The previous prime is 132312022132237. The next prime is 132312022132267. The reversal of 132312022132240 is 42231220213231.

It is a happy number.

132312022132240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 132312022132199 and 132312022132208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6843833614 + ... + 6843852946.

Almost surely, 2132312022132240 is an apocalyptic number.

132312022132240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132312022132240 is an abundant number, since it is smaller than the sum of its proper divisors (175400655995888).

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

132312022132240 is a wasteful number, since it uses less digits than its factorization.

132312022132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39176 (or 39170 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 132312022132240 its reverse (42231220213231), we get a palindrome (174543242345471).

The spelling of 132312022132240 in words is "one hundred thirty-two trillion, three hundred twelve billion, twenty-two million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6343 12686 13487 19333 25372 26974 31715 38666 50744 53948 63430 67435 77332 96665 101488 107896 126860 134870 154664 193330 215792 253720 269740 309328 386660 507440 539480 773320 1078960 1546640 85548041 122629219 171096082 245258438 260744171 342192164 427740205 490516876 521488342 613146095 684384328 855480410 981033752 1042976684 1226292190 1303720855 1368768656 1710960820 1962067504 2085953368 2452584380 2607441710 3421921640 4171906736 4905168760 5214883420 6843843280 9810337520 10429766840 20859533680 1653900276653 3307800553306 6615601106612 8269501383265 13231202213224 16539002766530 26462404426448 33078005533060 66156011066120 132312022132240