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256257512304423 = 377910119346117189
BaseRepresentation
bin111010010001000010011001…
…111111011110111100100111
31020121022222102122011100001220
4322101002121333132330213
5232042010341122220143
62305003024224151423
7104655665021031060
oct7221023177367447
91217288378140056
10256257512304423
1174719223092593
12248a850a468573
13accac975a9276
14473cd03425567
151e95ca5263d83
hexe91099fdef27

256257512304423 has 128 divisors (see below), whose sum is σ = 402308973158400. Its totient is φ = 142088933376000.

The previous prime is 256257512304317. The next prime is 256257512304427. The reversal of 256257512304423 is 324403215752652.

It is not a de Polignac number, because 256257512304423 - 212 = 256257512300327 is a prime.

It is a super-2 number, since 2×2562575123044232 (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 (256257512304427) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14908218313 + ... + 14908235501.

It is an arithmetic number, because the mean of its divisors is an integer number (3143038852800).

Almost surely, 2256257512304423 is an apocalyptic number.

256257512304423 is a deficient number, since it is larger than the sum of its proper divisors (146051460853977).

256257512304423 is a wasteful number, since it uses less digits than its factorization.

256257512304423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18033.

The product of its (nonzero) digits is 12096000, while the sum is 51.

The spelling of 256257512304423 in words is "two hundred fifty-six trillion, two hundred fifty-seven billion, five hundred twelve million, three hundred four thousand, four hundred twenty-three".

Divisors: 1 3 7 21 79 101 193 237 303 461 553 579 707 1351 1383 1659 2121 3227 4053 7979 9681 15247 17189 19493 23937 36419 45741 46561 51567 55853 58479 88973 106729 109257 120323 136451 139683 167559 254933 266919 320187 325927 360969 409353 622811 764799 977781 1357931 1539947 1736089 1868433 3317477 3678319 4073793 4619841 5208267 7028867 7924129 8986273 9505517 9952431 10779629 11034957 12152623 21086601 23222339 23772387 25748233 26958819 28516551 32338887 36457869 49202069 55468903 62903911 69667017 77244699 137151031 147606207 166406709 188711733 262080683 335065177 411453093 626006191 709915567 786242049 800337029 960057217 1005195531 1529356897 1834564781 1878018573 2129746701 2345456239 2401011087 2880171651 4382043337 4588070691 4969408969 5503694343 5602359203 7036368717 10705498279 13146130011 14908226907 16807077609 26470148983 32116494837 63226625291 79410446949 120819194863 154465046597 185291042881 189679875873 362457584589 442586377037 463395139791 555873128643 845734364041 1081255326179 1327759131111 2537203092123 3243765978537 12202738681163 36608216043489 85419170768141 256257512304423