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348831419874121 = 17598915144957637
BaseRepresentation
bin100111101010000101010010…
…0110111100011101101001001
31200202002221212102102201112001
41033110022210313203231021
5331210223221441432441
63233522535245551001
7133322144526062542
oct11724124467435511
91622087772381461
10348831419874121
11a116a635558a38
1233159a48875461
1311c8487ab21992
14621d7607674c9
152a4dd8bdca731
hex13d42a4de3b49

348831419874121 has 64 divisors (see below), whose sum is σ = 383205090240000. Its totient is φ = 316296039628800.

The previous prime is 348831419874107. The next prime is 348831419874199. The reversal of 348831419874121 is 121478914138843.

It is a cyclic number.

It is not a de Polignac number, because 348831419874121 - 217 = 348831419743049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (348831419874221) 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, 6052184515 + ... + 6052242151.

It is an arithmetic number, because the mean of its divisors is an integer number (5987579535000).

Almost surely, 2348831419874121 is an apocalyptic number.

It is an amenable number.

348831419874121 is a deficient number, since it is larger than the sum of its proper divisors (34373670365879).

348831419874121 is a wasteful number, since it uses less digits than its factorization.

348831419874121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58402.

The product of its digits is 37158912, while the sum is 64.

The spelling of 348831419874121 in words is "three hundred forty-eight trillion, eight hundred thirty-one billion, four hundred nineteen million, eight hundred seventy-four thousand, one hundred twenty-one".

Divisors: 1 17 59 89 151 449 1003 1513 2567 5251 7633 8909 13439 26491 39961 57637 67799 89267 151453 228463 450347 679337 792901 979829 1152583 2357699 3400583 4000141 5129693 6034111 8703187 13479317 25879013 40080883 57809911 68002397 87204781 102579887 147954179 302651887 356012549 439943221 513488033 774583643 1526861767 2303232157 3907730963 5145082079 6052213333 8729296561 13167921931 25956650039 39154946669 45700434937 66431426371 135890697263 230556126817 347788055707 776907393929 2310141853471 3919454155889 5912396947019 20519495286713 348831419874121