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255342105144 = 233271721753049
BaseRepresentation
bin1110110111001110010…
…0110101001000111000
3220102002020012220201100
43231303210311020320
513140420034331034
6313145203251400
724306421040220
oct3556344651070
9812066186640
10255342105144
1199320a63985
12415a1679b60
131b103a6b359
14c5040c7080
156996cea099
hex3b73935238

255342105144 has 144 divisors (see below), whose sum is σ = 839570706000. Its totient is φ = 68663384064.

The previous prime is 255342105119. The next prime is 255342105181. The reversal of 255342105144 is 441501243552.

255342105144 is a `hidden beast` number, since 2 + 5 + 534 + 2 + 105 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 255342105099 and 255342105108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 730869 + ... + 1022180.

It is an arithmetic number, because the mean of its divisors is an integer number (5830352125).

Almost surely, 2255342105144 is an apocalyptic number.

255342105144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

255342105144 is an abundant number, since it is smaller than the sum of its proper divisors (584228600856).

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

255342105144 is a wasteful number, since it uses less digits than its factorization.

255342105144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753102 (or 1753078 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 255342105144 its reverse (441501243552), we get a palindrome (696843348696).

The spelling of 255342105144 in words is "two hundred fifty-five billion, three hundred forty-two million, one hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 289 306 357 408 476 504 578 612 714 867 952 1071 1156 1224 1428 1734 2023 2142 2312 2601 2856 3468 4046 4284 5202 6069 6936 8092 8568 10404 12138 16184 18207 20808 24276 36414 48552 72828 145656 1753049 3506098 5259147 7012196 10518294 12271343 14024392 15777441 21036588 24542686 29801833 31554882 36814029 42073176 49085372 59603666 63109764 73628058 89405499 98170744 110442087 119207332 126219528 147256116 178810998 208612831 220884174 238414664 268216497 294512232 357621996 417225662 441768348 506631161 536432994 625838493 715243992 834451324 883536696 1013262322 1072865988 1251676986 1519893483 1668902648 1877515479 2026524644 2145731976 2503353972 3039786966 3546418127 3755030958 4053049288 4559680449 5006707944 6079573932 7092836254 7510061916 9119360898 10639254381 12159147864 14185672508 15020123832 18238721796 21278508762 28371345016 31917763143 36477443592 42557017524 63835526286 85114035048 127671052572 255342105144