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131412030022224 = 24327177668769259
BaseRepresentation
bin11101111000010010111111…
…010111100110001001010000
3122020021212102022121112100100
4131320102333113212021100
5114211023314141202344
61143253504141452400
736452130415645560
oct3570227727461120
9566255368545310
10131412030022224
1138965590052246
12128a4646b71100
1358431416059b3
14246453a39cda0
15102d4dd909569
hex7784bf5e6250

131412030022224 has 120 divisors (see below), whose sum is σ = 445034017696320. Its totient is φ = 35337688740864.

The previous prime is 131412030022153. The next prime is 131412030022381. The reversal of 131412030022224 is 422220030214131.

131412030022224 is a `hidden beast` number, since 1 + 3 + 1 + 412 + 0 + 3 + 0 + 0 + 22 + 224 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3834367494 + ... + 3834401765.

It is an arithmetic number, because the mean of its divisors is an integer number (3708616814136).

Almost surely, 2131412030022224 is an apocalyptic number.

131412030022224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131412030022224 is an abundant number, since it is smaller than the sum of its proper divisors (313621987674096).

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

131412030022224 is a wasteful number, since it uses less digits than its factorization.

131412030022224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668769297 (or 7668769288 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 131412030022224 its reverse (422220030214131), we get a palindrome (553632060236355).

The spelling of 131412030022224 in words is "one hundred thirty-one trillion, four hundred twelve billion, thirty million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 17136 7668769259 15337538518 23006307777 30675077036 46012615554 53681384813 61350154072 69018923331 92025231108 107362769626 122700308144 130369077403 138037846662 161044154439 184050462216 214725539252 260738154806 276075693324 322088308878 368100924432 391107232209 429451078504 483132463317 521476309612 552151386648 644176617756 782214464418 858902157008 912583541821 966264926634 1042952619224 1104302773296 1173321696627 1288353235512 1564428928836 1825167083642 1932529853268 2085905238448 2346643393254 2576706471024 2737750625463 3128857857672 3650334167284 3865059706536 4693286786508 5475501250926 6257715715344 7300668334568 7730119413072 8213251876389 9386573573016 10951002501852 14601336669136 16426503752778 18773147146032 21902005003704 32853007505556 43804010007408 65706015011112 131412030022224