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131404321342554 = 231319227733153281
BaseRepresentation
bin11101111000001011110011…
…111001010100010001011010
3122020021010112002101000210220
4131320023303321110101122
5114210412022230430204
61143250151210020510
736451435403155041
oct3570136371242132
9566233462330726
10131404321342554
11389622947700a7
12128a3055417736
1358424b3541a90
142464008689558
15102d1dbca61d9
hex7782f3e5445a

131404321342554 has 128 divisors (see below), whose sum is σ = 299279589073920. Its totient is φ = 38129435596800.

The previous prime is 131404321342531. The next prime is 131404321342579. The reversal of 131404321342554 is 455243123404131.

It is a super-2 number, since 2×1314043213425542 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2466224394 + ... + 2466277674.

It is an arithmetic number, because the mean of its divisors is an integer number (2338121789640).

Almost surely, 2131404321342554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131404321342554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149639794536960).

131404321342554 is an abundant number, since it is smaller than the sum of its proper divisors (167875267731366).

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

131404321342554 is a wasteful number, since it uses less digits than its factorization.

131404321342554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60876.

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 131404321342554 its reverse (455243123404131), we get a palindrome (586647444746685).

The spelling of 131404321342554 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred twenty-one million, three hundred forty-two thousand, five hundred fifty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 227 247 454 494 681 741 1362 1482 2951 4313 5902 7331 8626 8853 12939 14662 17706 21993 25878 43986 53281 56069 95303 106562 112138 139289 159843 168207 190606 278578 285909 319686 336414 417867 571818 692653 835734 1012339 1385306 1664137 1810757 2024678 2077959 3037017 3328274 3621514 4155918 4992411 5432271 6074034 9984822 10864542 12094787 13160407 21633781 24189574 26320814 31618603 36284361 39481221 43267562 63237206 64901343 72568722 78962442 94855809 129802686 157232231 189711618 229800953 314464462 390603011 411041839 459601906 471696693 689402859 781206022 822083678 943393386 1171809033 1233125517 1378805718 2343618066 2466251034 2987412389 5077839143 5974824778 7421457209 8962237167 10155678286 14842914418 15233517429 17924474334 22264371627 30467034858 44528743254 88666883497 96478943717 177333766994 192957887434 266000650491 289436831151 532001300982 578873662302 1152669485461 1684670786443 2305338970922 3369341572886 3458008456383 5054012359329 6916016912766 10108024718658 21900720223759 43801440447518 65702160671277 131404321342554