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32122142331040 = 2551792111202689
BaseRepresentation
bin1110100110111000001001…
…11000100001000010100000
311012201211212022212220122201
413103130010320201002200
513202242121414043130
6152152413010142544
76523514426520616
oct723340470410240
9135654768786581
1032122142331040
11a264a18a17a83
1237295a0581a54
1314c014997a388
147d0a118cb6b6
153aa885d86bca
hex1d3704e210a0

32122142331040 has 48 divisors (see below), whose sum is σ = 75892802648040. Its totient is φ = 12848138813440.

The previous prime is 32122142330981. The next prime is 32122142331047. The reversal of 32122142331040 is 4013324122123.

It can be written as a sum of positive squares in 4 ways, for example, as 25523552743056 + 6598589587984 = 5052084^2 + 2568772^2 .

It is not an unprimeable number, because it can be changed into a prime (32122142331047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2733985 + ... + 8468704.

Almost surely, 232122142331040 is an apocalyptic number.

It is an amenable number.

32122142331040 is an abundant number, since it is smaller than the sum of its proper divisors (43770660317000).

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

32122142331040 is a wasteful number, since it uses less digits than its factorization.

32122142331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11220625 (or 11220617 counting only the distinct ones).

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

Adding to 32122142331040 its reverse (4013324122123), we get a palindrome (36135466453163).

The spelling of 32122142331040 in words is "thirty-two trillion, one hundred twenty-two billion, one hundred forty-two million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 17921 35842 71684 89605 143368 179210 286736 358420 573472 716840 1433680 2867360 11202689 22405378 44810756 56013445 89621512 112026890 179243024 224053780 358486048 448107560 896215120 1792430240 200763389569 401526779138 803053558276 1003816947845 1606107116552 2007633895690 3212214233104 4015267791380 6424428466208 8030535582760 16061071165520 32122142331040