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134331323133431 = 432101719314819
BaseRepresentation
bin11110100010110001110010…
…110011000010110111110111
3122121121221121212122001200002
4132202301302303002313313
5120101341022210232211
61153410542524341515
740203055261656044
oct3642616263026767
9577557555561602
10134331323133431
1139890659997926
12130963883a489b
1359c550a71bca8
1425259566ac1cb
15107e3eca9b03b
hex7a2c72cc2df7

134331323133431 has 12 divisors (see below), whose sum is σ = 138889621334520. Its totient is φ = 129908256130800.

The previous prime is 134331323133409. The next prime is 134331323133443.

134331323133431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134331323133431 - 210 = 134331323132407 is a prime.

It is a super-4 number, since 4×1343313231334314 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134331323138431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 359470661 + ... + 359844158.

It is an arithmetic number, because the mean of its divisors is an integer number (11574135111210).

Almost surely, 2134331323133431 is an apocalyptic number.

134331323133431 is a deficient number, since it is larger than the sum of its proper divisors (4558298201089).

134331323133431 is an equidigital number, since it uses as much as digits as its factorization.

134331323133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719315006 (or 719314963 counting only the distinct ones).

The product of its digits is 209952, while the sum is 38.

The spelling of 134331323133431 in words is "one hundred thirty-four trillion, three hundred thirty-one billion, three hundred twenty-three million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 43 101 1849 4343 186749 719314819 30930537217 72650796719 1330013100331 3123984258917 134331323133431