Search a number
-
+
141132145320555 = 35479711319195621
BaseRepresentation
bin100000000101101111100011…
…011000110110001001101011
3200111201002201212101210020220
4200011233203120312021223
5121444302113200224210
61220055113522221123
741504314061524254
oct4005574330661153
9614632655353226
10141132145320555
1140a728967a9364
12139b4431ab47a3
1360999201790bc
1426bcb91ac5b2b
15114b2870d1c70
hex805be363626b

141132145320555 has 128 divisors (see below), whose sum is σ = 236288430637056. Its totient is φ = 71885188300800.

The previous prime is 141132145320539. The next prime is 141132145320601. The reversal of 141132145320555 is 555023541231141.

It is not a de Polignac number, because 141132145320555 - 24 = 141132145320539 is a prime.

It is a super-3 number, since 3×1411321453205553 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1475905645 + ... + 1476001265.

It is an arithmetic number, because the mean of its divisors is an integer number (1846003364352).

Almost surely, 2141132145320555 is an apocalyptic number.

141132145320555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

141132145320555 is a deficient number, since it is larger than the sum of its proper divisors (95156285316501).

141132145320555 is a wasteful number, since it uses less digits than its factorization.

141132145320555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96077.

The product of its (nonzero) digits is 360000, while the sum is 42.

Adding to 141132145320555 its reverse (555023541231141), we get a palindrome (696155686551696).

The spelling of 141132145320555 in words is "one hundred forty-one trillion, one hundred thirty-two billion, one hundred forty-five million, three hundred twenty thousand, five hundred fifty-five".

Divisors: 1 3 5 15 47 97 113 141 191 235 291 339 485 565 573 705 955 1455 1695 2865 4559 5311 8977 10961 13677 15933 18527 21583 22795 26555 26931 32883 44885 54805 55581 64749 68385 79665 92635 95621 107915 134655 164415 277905 286863 323745 478105 515167 870769 1014401 1434315 1545501 2093551 2575835 2612307 3043203 4353845 4494187 5072005 6280653 7727505 9275237 10467755 10805173 13061535 13482561 15216015 18263611 22470935 27825711 31403265 32415519 46376185 54025865 54790833 67412805 91318055 98396897 139128555 162077595 273954165 295190691 435936139 491984485 507843131 858389717 1048101781 1307808417 1475953455 1523529393 1771570267 2063788043 2179680695 2539215655 2575169151 3144305343 4291948585 5240508905 5314710801 6191364129 6539042085 7617646965 8857851335 10318940215 12875845755 15721526715 26573554005 30956820645 49260783707 83263802549 96998038021 147782351121 200187440171 246303918535 249791407647 290994114063 416319012745 484990190105 600562320513 738911755605 1000937200855 1248957038235 1454970570315 3002811602565 9408809688037 28226429064111 47044048440185 141132145320555