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4316130316134 = 23272131991891601
BaseRepresentation
bin111110110011101101011…
…010100000111101100110
3120021121200112122200121100
4332303231122200331212
51031203413330104014
613102445231500530
7623554506234300
oct76635532407546
916247615580540
104316130316134
11141450805114a
125985b3387746
132540176a9bb0
1410cc8a856970
1577414802009
hex3eced6a0f66

4316130316134 has 144 divisors (see below), whose sum is σ = 11774087488800. Its totient is φ = 1132599283200.

The previous prime is 4316130316129. The next prime is 4316130316187.

4316130316134 is a `hidden beast` number, since 4 + 3 + 1 + 6 + 1 + 3 + 0 + 31 + 613 + 4 = 666.

4316130316134 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1335934 + ... + 3227534.

It is an arithmetic number, because the mean of its divisors is an integer number (81764496450).

Almost surely, 24316130316134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4316130316134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887043744400).

4316130316134 is an abundant number, since it is smaller than the sum of its proper divisors (7457957172666).

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

4316130316134 is a wasteful number, since it uses less digits than its factorization.

4316130316134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891835 (or 1891825 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 4316130316134 in words is "four trillion, three hundred sixteen billion, one hundred thirty million, three hundred sixteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 199 234 273 294 398 441 546 597 637 819 882 1194 1274 1393 1638 1791 1911 2587 2786 3582 3822 4179 5174 5733 7761 8358 9751 11466 12537 15522 18109 19502 23283 25074 29253 36218 46566 54327 58506 87759 108654 126763 162981 175518 253526 325962 380289 760578 1140867 1891601 2281734 3783202 5674803 11349606 13241207 17024409 24590813 26482414 34048818 39723621 49181626 73772439 79447242 92688449 119170863 147544878 172135691 185376898 221317317 238341726 278065347 344271382 376428599 442634634 516407073 556130694 752857198 834196041 1032814146 1129285797 1204949837 1549221219 1668392082 2258571594 2409899674 2635000193 3098442438 3387857391 3614849511 4893571787 5270000386 6775714782 7229699022 7905000579 9787143574 10844548533 14680715361 15810001158 18445001351 21689097066 23715001737 29361430722 34255002509 36890002702 44042146083 47430003474 55335004053 68510005018 88084292166 102765007527 110670008106 166005012159 205530015054 239785017563 308295022581 332010024318 479570035126 616590045162 719355052689 1438710105378 2158065158067 4316130316134