Search a number
-
+
41350554555255 = 33511211365936067
BaseRepresentation
bin10010110011011101011010…
…00111011001001101110111
312102102002000020120221222000
421121232231013121031313
520404441413431232010
6223540103231310343
711465323201254141
oct1131565507311567
9172362006527860
1041350554555255
11121a2743048940
12477a02107b3b3
131a0c4572a860a
14a2d53dcabc91
154ba9520297c0
hex259bad1d9377

41350554555255 has 128 divisors (see below), whose sum is σ = 80599341772800. Its totient is φ = 19947729513600.

The previous prime is 41350554555181. The next prime is 41350554555293. The reversal of 41350554555255 is 55255545505314.

41350554555255 is a `hidden beast` number, since 4 + 1 + 35 + 0 + 5 + 5 + 4 + 5 + 552 + 55 = 666.

It is not a de Polignac number, because 41350554555255 - 213 = 41350554547063 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1146474732 + ... + 1146510798.

It is an arithmetic number, because the mean of its divisors is an integer number (629682357600).

Almost surely, 241350554555255 is an apocalyptic number.

41350554555255 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41350554555255 is a deficient number, since it is larger than the sum of its proper divisors (39248787217545).

41350554555255 is a wasteful number, since it uses less digits than its factorization.

41350554555255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39962 (or 39956 counting only the distinct ones).

The product of its (nonzero) digits is 37500000, while the sum is 54.

The spelling of 41350554555255 in words is "forty-one trillion, three hundred fifty billion, five hundred fifty-four million, five hundred fifty-five thousand, two hundred fifty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 211 297 495 633 1055 1485 1899 2321 3165 3659 5697 6963 9495 10977 11605 18295 20889 28485 32931 34815 36067 40249 54885 62667 98793 104445 108201 120747 164655 180335 201245 313335 324603 362241 396737 493965 541005 603735 772049 973809 1086723 1190211 1623015 1811205 1983685 2316147 3570633 3860245 4869045 5433615 5951055 6948441 7610137 8492539 10711899 11580735 17853165 20845323 22830411 25477617 34742205 38050685 42462695 53559495 68491233 76432851 83711507 104226615 114152055 127388085 131969153 205473699 229298553 251134521 342456165 382164255 395907459 418557535 659845765 753403563 1027368495 1146492765 1187722377 1255672605 1451660683 1979537295 2260210689 3563167131 3767017815 4354982049 5938611885 7258303415 11301053445 13064946147 17815835655 21774910245 27845491283 39194838441 65324730735 83536473849 139227456415 195974192205 250609421547 306300404113 417682369245 751828264641 918901212339 1253047107735 1531502020565 2756703637017 3759141323205 4594506061695 8270110911051 13783518185085 41350554555255