Search a number
-
+
255430404345402 = 234111311397576019
BaseRepresentation
bin111010000101000000000110…
…100001000000111000111010
31020111101220112001121121010000
4322011000012201000320322
5231434432432003023102
62303131035142133430
7104542144352261406
oct7205000641007072
91214356461547100
10255430404345402
117442a476217a80
1224794159721276
13ac6aca347c970
144710c7cb98106
151e7e4e71b401c
hexe85006840e3a

255430404345402 has 160 divisors (see below), whose sum is σ = 678365664419520. Its totient is φ = 70816770823680.

The previous prime is 255430404345323. The next prime is 255430404345461. The reversal of 255430404345402 is 204543404034552.

255430404345402 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 30 + 40 + 4 + 34 + 540 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46170252 + ... + 51405767.

It is an arithmetic number, because the mean of its divisors is an integer number (4239785402622).

Almost surely, 2255430404345402 is an apocalyptic number.

255430404345402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

255430404345402 is an abundant number, since it is smaller than the sum of its proper divisors (422935260074118).

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

255430404345402 is a wasteful number, since it uses less digits than its factorization.

255430404345402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97576170 (or 97576161 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 45.

Adding to 255430404345402 its reverse (204543404034552), we get a palindrome (459973808379954).

The spelling of 255430404345402 in words is "two hundred fifty-five trillion, four hundred thirty billion, four hundred four million, three hundred forty-five thousand, four hundred two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 113 117 143 162 198 226 234 286 297 339 351 429 594 678 702 858 891 1017 1053 1243 1287 1469 1782 2034 2106 2486 2574 2938 3051 3729 3861 4407 6102 7458 7722 8814 9153 11187 11583 13221 16159 18306 22374 23166 26442 32318 33561 39663 48477 67122 79326 96954 100683 118989 145431 201366 237978 290862 436293 872586 1308879 2617758 97576019 195152038 292728057 585456114 878184171 1073336209 1268488247 1756368342 2146672418 2536976494 2634552513 3220008627 3805464741 5269105026 6440017254 7610929482 7903657539 9660025881 11026090147 11416394223 13953370717 15807315078 19320051762 22052180294 22832788446 27906741434 28980077643 33078270441 34249182669 41860112151 57960155286 66156540882 68498365338 83720224302 86940232929 99234811323 102747548007 121286991617 125580336453 143339171911 173880465858 198469622646 205495096014 242573983234 251160672906 286678343822 297704433969 363860974851 376741009359 430017515733 595408867938 727721949702 753482018718 860035031466 893113301907 1091582924553 1130223028077 1290052547199 1576730891021 1786226603814 2183165849106 2260446056154 2580105094398 3153461782042 3274748773659 3870157641597 4730192673063 6549497547318 7740315283194 9460385346126 9824246320977 11610472924791 14190578019189 19648492641954 23220945849582 28381156038378 42571734057567 85143468115134 127715202172701 255430404345402