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134323134032 = 2429267148991
BaseRepresentation
bin111110100011001001…
…0000101111001010000
3110211201012200012122002
41331012102011321100
54200043210242112
6141412430533132
712463436541443
oct1750622057120
9424635605562
10134323134032
1151a699a877a
12220486671a8
13c888733ac9
1467036d565a
1537626671c2
hex1f46485e50

134323134032 has 60 divisors (see below), whose sum is σ = 273559443456. Its totient is φ = 63877376640.

The previous prime is 134323134019. The next prime is 134323134037. The reversal of 134323134032 is 230431323431.

134323134032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 134323133986 and 134323134004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134323134037) 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 11 ways as a sum of consecutive naturals, for example, 827057 + ... + 976047.

Almost surely, 2134323134032 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 134323134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136779721728).

134323134032 is an abundant number, since it is smaller than the sum of its proper divisors (139236309424).

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

134323134032 is a wasteful number, since it uses less digits than its factorization.

134323134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149124 (or 149089 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 134323134032 its reverse (230431323431), we get a palindrome (364754457463).

The spelling of 134323134032 in words is "one hundred thirty-four billion, three hundred twenty-three million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 29 58 67 116 134 232 268 464 536 841 1072 1682 1943 3364 3886 6728 7772 13456 15544 31088 56347 112694 148991 225388 297982 450776 595964 901552 1191928 2383856 4320739 8641478 9982397 17282956 19964794 34565912 39929588 69131824 79859176 125301431 159718352 250602862 289489513 501205724 578979026 1002411448 1157958052 2004822896 2315916104 4631832208 8395195877 16790391754 33580783508 67161567016 134323134032