Search a number
-
+
131404355131120 = 245311013491503181
BaseRepresentation
bin11101111000001011110101…
…111010001101011011110000
3122020021010121102221200000021
4131320023311322031123300
5114210412104403143440
61143250154414133224
736451436263313011
oct3570136572153360
9566233542850007
10131404355131120
1138962301848a35
12128a30647b1214
1358424ba542306
14246400cd63008
15102d1dec2c84a
hex7782f5e8d6f0

131404355131120 has 160 divisors (see below), whose sum is σ = 319405731724800. Its totient is φ = 50218237440000.

The previous prime is 131404355131103. The next prime is 131404355131139. The reversal of 131404355131120 is 21131553404131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86665930 + ... + 88169110.

It is an arithmetic number, because the mean of its divisors is an integer number (1996285823280).

Almost surely, 2131404355131120 is an apocalyptic number.

131404355131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131404355131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159702865862400).

131404355131120 is an abundant number, since it is smaller than the sum of its proper divisors (188001376593680).

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

131404355131120 is a wasteful number, since it uses less digits than its factorization.

131404355131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503675 (or 1503669 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 131404355131120 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred fifty-five million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 101 124 155 202 248 310 349 404 496 505 620 698 808 1010 1240 1396 1616 1745 2020 2480 2792 3131 3490 4040 5584 6262 6980 8080 10819 12524 13960 15655 21638 25048 27920 31310 35249 43276 50096 54095 62620 70498 86552 108190 125240 140996 173104 176245 216380 250480 281992 352490 432760 563984 704980 865520 1092719 1409960 1503181 2185438 2819920 3006362 4370876 5463595 6012724 7515905 8741752 10927190 12025448 15031810 17483504 21854380 24050896 30063620 43708760 46598611 60127240 87417520 93197222 120254480 151821281 186394444 232993055 303642562 372788888 465986110 524610169 607285124 745577776 759106405 931972220 1049220338 1214570248 1518212810 1863944440 2098440676 2429140496 2623050845 3036425620 3727888880 4196881352 4706459711 5246101690 6072851240 8393762704 9412919422 10492203380 12145702480 16262915239 18825838844 20984406760 23532298555 32525830478 37651677688 41968813520 47064597110 52985627069 65051660956 75303355376 81314576195 94129194220 105971254138 130103321912 162629152390 188258388440 211942508276 260206643824 264928135345 325258304780 376516776880 423885016552 529856270690 650516609560 847770033104 1059712541380 1301033219120 1642554439139 2119425082760 3285108878278 4238850165520 6570217756556 8212772195695 13140435513112 16425544391390 26280871026224 32851088782780 65702177565560 131404355131120