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131342240223304 = 231147317413924203
BaseRepresentation
bin11101110111010001111111…
…100100101001000001001000
3122020001012021112210102010221
4131313101333210221001020
5114203402401444121204
61143201443040115424
736444110103311215
oct3567217744510110
9566035245712127
10131342240223304
1138938a27580380
121289300a605b74
13583969b8a78a6
142460dd9662b0c
15102b7a69ba654
hex77747f929048

131342240223304 has 128 divisors (see below), whose sum is σ = 275314032691200. Its totient is φ = 58229981021440.

The previous prime is 131342240223289. The next prime is 131342240223323. The reversal of 131342240223304 is 403322042243131.

131342240223304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 131342240223304.

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, 5426680467 + ... + 5426704669.

It is an arithmetic number, because the mean of its divisors is an integer number (2150890880400).

Almost surely, 2131342240223304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131342240223304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137657016345600).

131342240223304 is an abundant number, since it is smaller than the sum of its proper divisors (143971792467896).

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

131342240223304 is a wasteful number, since it uses less digits than its factorization.

131342240223304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28723 (or 28719 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 131342240223304 its reverse (403322042243131), we get a palindrome (534664282466435).

The spelling of 131342240223304 in words is "one hundred thirty-one trillion, three hundred forty-two billion, two hundred forty million, two hundred twenty-three thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 317 376 517 634 1034 1268 2068 2536 3487 4136 4139 6974 8278 13948 14899 16556 24203 27896 29798 33112 45529 48406 59596 91058 96812 119192 163889 182116 193624 194533 266233 327778 364232 389066 532466 655556 778132 1064932 1137541 1311112 1312063 1556264 2129864 2139863 2275082 2624126 4279726 4550164 5248252 7672351 8559452 9100328 10496504 12512951 14432693 15344702 17118904 25025902 28865386 30689404 50051804 57730772 61378808 61666961 84395861 100103608 100176217 115461544 123333922 168791722 200352434 246667844 337583444 360600497 400704868 493335688 675166888 678336571 721200994 801409736 1101938387 1356673142 1442401988 2203876774 2713346284 2884803976 3966605467 4407753548 4708282199 5426692568 7933210934 8815507096 9416564398 15866421868 18833128796 31732843736 31755860789 37666257592 51791104189 63511721578 103582208378 127023443156 207164416756 254046886312 349314468679 414328833512 698628937358 1397257874716 1492525457083 2794515749432 2985050914166 5970101828332 11940203656664 16417780027913 32835560055826 65671120111652 131342240223304