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255141253234231 = 72132791447269527
BaseRepresentation
bin111010000000110010110011…
…110001000011111000110111
31020110101021011121210020001021
4322000302303301003320313
5231420213241311443411
62302350135034242011
7104512230050343400
oct7200626361037067
91213337147706037
10255141253234231
1174328885a28501
1224748101586307
13ac4994217ab00
144700c8c82c9a7
151e76c22195a71
hexe80cb3c43e37

255141253234231 has 72 divisors (see below), whose sum is σ = 325677970437120. Its totient is φ = 199176203693376.

The previous prime is 255141253234201. The next prime is 255141253234247. The reversal of 255141253234231 is 132432352141552.

255141253234231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 255141253234231 - 213 = 255141253226039 is a prime.

It is a super-2 number, since 2×2551412532342312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255141253234201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 946491190 + ... + 946760716.

It is an arithmetic number, because the mean of its divisors is an integer number (4523305144960).

Almost surely, 2255141253234231 is an apocalyptic number.

255141253234231 is a deficient number, since it is larger than the sum of its proper divisors (70536717202889).

255141253234231 is a wasteful number, since it uses less digits than its factorization.

255141253234231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271093 (or 271073 counting only the distinct ones).

The product of its digits is 864000, while the sum is 43.

The spelling of 255141253234231 in words is "two hundred fifty-five trillion, one hundred forty-one billion, two hundred fifty-three million, two hundred thirty-four thousand, two hundred thirty-one".

Divisors: 1 7 13 49 79 91 169 553 637 1027 1183 1447 3871 7189 8281 10129 13351 18811 50323 70903 93457 114313 131677 244543 269527 654199 800191 921739 1486069 1711801 1886689 3503851 5601337 10402483 11982607 13206823 19318897 21292633 24526957 45550063 72817381 135232279 149048431 171688699 276804229 318850441 390005569 946625953 1043339017 1937629603 2231953087 2730038983 3598454977 5070072397 13563407221 19110272881 25189184839 30810439951 35490506779 65910941161 176324293873 215673079657 248433547453 400535719363 461376588127 1509711557599 2803750035541 3229636116889 5206964351719 19626250248787 36448750462033 255141253234231