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5434232324345 = 511243534878093
BaseRepresentation
bin100111100010100000101…
…1111001100000011111001
3201020111200222211202022122
41033011001133030003321
51203013301433334340
615320241334131025
71100416225422056
oct117050137140371
921214628752278
105434232324345
111805710527900
127392354b0a75
133055a4880316
1414b03810202d
15965545aadb5
hex4f1417cc0f9

5434232324345 has 96 divisors (see below), whose sum is σ = 7489146905856. Its totient is φ = 3779178923520.

The previous prime is 5434232324327. The next prime is 5434232324347.

5434232324345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5434232324345 - 214 = 5434232307961 is a prime.

It is a super-2 number, since 2×54342323243452 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5434232324296 and 5434232324305.

It is not an unprimeable number, because it can be changed into a prime (5434232324347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 671469119 + ... + 671477211.

It is an arithmetic number, because the mean of its divisors is an integer number (78011946936).

Almost surely, 25434232324345 is an apocalyptic number.

5434232324345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5434232324345 is a deficient number, since it is larger than the sum of its proper divisors (2054914581511).

5434232324345 is a wasteful number, since it uses less digits than its factorization.

5434232324345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8703 (or 8692 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 44.

The spelling of 5434232324345 in words is "five trillion, four hundred thirty-four billion, two hundred thirty-two million, three hundred twenty-four thousand, three hundred forty-five".

Divisors: 1 5 11 43 53 55 121 215 265 473 487 583 605 2279 2365 2435 2915 5203 5357 6413 8093 11395 20941 25069 25811 26015 26785 32065 40465 58927 89023 104705 125345 129055 230351 275759 283921 294635 347999 428929 445115 979253 1109873 1151755 1378795 1419605 1739995 2144645 2533861 3123131 3827989 3941291 4718219 4896265 5549365 12208603 12669305 15615655 18443947 19139945 19706455 23591095 42107879 43354201 51900409 61043015 92219735 134294633 169475513 202883417 208888423 210539395 216771005 259502045 476896211 671473165 847377565 1014417085 1044442115 1864230643 2231717587 2297772653 2384481055 8982202189 9321153215 11158587935 11488863265 20506537073 25275499183 44911010945 98804224079 102532685365 126377495915 494021120395 1086846464869 5434232324345