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134020332032 = 293710976449
BaseRepresentation
bin111110011010000111…
…0111111101000000000
3110210221002220021101012
41330310032333220000
54143433201111112
6141322412500052
712453102011666
oct1746416775000
9423832807335
10134020332032
1151923a90094
1221b8317a628
13c83aa94822
1466b53d2c36
153745ca3022
hex1f343bfa00

134020332032 has 80 divisors (see below), whose sum is σ = 275309555400. Its totient is φ = 65129545728.

The previous prime is 134020331999. The next prime is 134020332041. The reversal of 134020332032 is 230233020431.

134020332032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 133909156096 + 111175936 = 365936^2 + 10544^2 .

It is a super-2 number, since 2×1340203320322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134020331989 and 134020332007.

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 7 ways as a sum of consecutive naturals, for example, 20778344 + ... + 20784792.

Almost surely, 2134020332032 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 134020332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137654777700).

134020332032 is an abundant number, since it is smaller than the sum of its proper divisors (141289223368).

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

134020332032 is an equidigital number, since it uses as much as digits as its factorization.

134020332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7601 (or 7585 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 134020332032 its reverse (230233020431), we get a palindrome (364253352463).

The spelling of 134020332032 in words is "one hundred thirty-four billion, twenty million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1097 1184 2194 2368 4388 4736 6449 8776 9472 12898 17552 18944 25796 35104 40589 51592 70208 81178 103184 140416 162356 206368 238613 280832 324712 412736 477226 561664 649424 825472 954452 1298848 1650944 1908904 2597696 3301888 3817808 5195392 7074553 7635616 10390784 14149106 15271232 20781568 28298212 30542464 56596424 61084928 113192848 122169856 226385696 261758461 452771392 523516922 905542784 1047033844 1811085568 2094067688 3622171136 4188135376 8376270752 16752541504 33505083008 67010166016 134020332032