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32131120214440 = 23513417714793061
BaseRepresentation
bin1110100111001000111000…
…00000011011000110101000
311012202201001000100122101201
413103210130000123012220
513202414013233330230
6152200455521253544
76524253053336032
oct723443400330650
9135681030318351
1032131120214440
11a268805782725
12372b2871942b4
1314c0c4a985a10
147d1223dc6c52
153aac0e1455ca
hex1d391c01b1a8

32131120214440 has 64 divisors (see below), whose sum is σ = 77874820425360. Its totient is φ = 11860957163520.

The previous prime is 32131120214339. The next prime is 32131120214489. The reversal of 32131120214440 is 4441202113123.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7419424195044 + 24711696019396 = 2723862^2 + 4971086^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32131120214399 and 32131120214408.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5224491 + ... + 9568570.

Almost surely, 232131120214440 is an apocalyptic number.

It is an amenable number.

32131120214440 is an abundant number, since it is smaller than the sum of its proper divisors (45743700210920).

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

32131120214440 is a wasteful number, since it uses less digits than its factorization.

32131120214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14797262 (or 14797258 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 32131120214440 its reverse (4441202113123), we get a palindrome (36572322327563).

The spelling of 32131120214440 in words is "thirty-two trillion, one hundred thirty-one billion, one hundred twenty million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4177 8354 16708 20885 33416 41770 54301 83540 108602 167080 217204 271505 434408 543010 1086020 2172040 14793061 29586122 59172244 73965305 118344488 147930610 192309793 295861220 384619586 591722440 769239172 961548965 1538478344 1923097930 3846195860 7692391720 61790615797 123581231594 247162463188 308953078985 494324926376 617906157970 803278005361 1235812315940 1606556010722 2471624631880 3213112021444 4016390026805 6426224042888 8032780053610 16065560107220 32131120214440