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134336633431 = 7113135092179
BaseRepresentation
bin111110100011100010…
…1100101101001010111
3110211202011002001022211
41331013011211221113
54200110134232211
6141414032134251
712463662354340
oct1750705455127
9424664061284
10134336633431
1151a76589000
1222051097387
13c88b47c410
14670540b0c7
153763931e21
hex1f47165a57

134336633431 has 64 divisors (see below), whose sum is σ = 182299622400. Its totient is φ = 96391658880.

The previous prime is 134336633383. The next prime is 134336633437.

134336633431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134336633431 - 223 = 134328244823 is a prime.

It is a super-4 number, since 4×1343366334314 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134336633437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61649500 + ... + 61651678.

It is an arithmetic number, because the mean of its divisors is an integer number (2848431600).

Almost surely, 2134336633431 is an apocalyptic number.

134336633431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134336633431 is a deficient number, since it is larger than the sum of its proper divisors (47962988969).

134336633431 is a wasteful number, since it uses less digits than its factorization.

134336633431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2719 counting only the distinct ones).

The product of its digits is 419904, while the sum is 40.

It can be divided in two parts, 134336 and 633431, that added together give a palindrome (767767).

The spelling of 134336633431 in words is "one hundred thirty-four billion, three hundred thirty-six million, six hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 7 11 13 77 91 121 143 509 847 1001 1331 1573 2179 3563 5599 6617 9317 11011 15253 17303 23969 28327 39193 46319 61589 72787 121121 167783 198289 263659 311597 431123 509509 677479 800657 1109111 1845613 2181179 2900249 3427567 4742353 5604599 7763777 8807227 12200221 14418443 20301743 23992969 37703237 61650589 85401547 100929101 134202431 158602873 263922659 939417017 1110220111 1476226741 1744631603 10333587187 12212421221 19190947633 134336633431