Search a number
-
+
141251041034325 = 325217148957247913
BaseRepresentation
bin100000000111011110010010…
…001000000000000001010101
3200112010110121220122211211100
4200013132102020000001111
5122003224113001044300
61220225455450100313
741516023321442265
oct4007362210000125
9615113556584740
10141251041034325
1141009259290932
1213a13493a1a699
1360a7bba641861
1426c48304d57a5
15114e3e5156700
hex807792200055

141251041034325 has 72 divisors (see below), whose sum is σ = 267881323781448. Its totient is φ = 70901721354240.

The previous prime is 141251041034239. The next prime is 141251041034351. The reversal of 141251041034325 is 523430140152141.

141251041034325 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 510 + 4 + 103 + 4 + 32 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 62098150936644 + 79152890097681 = 7880238^2 + 8896791^2 .

It is not a de Polignac number, because 141251041034325 - 217 = 141251040903253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 141251041034325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 569636569 + ... + 569884481.

It is an arithmetic number, because the mean of its divisors is an integer number (3720573941409).

Almost surely, 2141251041034325 is an apocalyptic number.

141251041034325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141251041034325 is a deficient number, since it is larger than the sum of its proper divisors (126630282747123).

141251041034325 is a wasteful number, since it uses less digits than its factorization.

141251041034325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396903 (or 396895 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 141251041034325 its reverse (523430140152141), we get a palindrome (664681181186466).

The spelling of 141251041034325 in words is "one hundred forty-one trillion, two hundred fifty-one billion, forty-one million, thirty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 3825 148957 247913 446871 743739 744785 1239565 1340613 2231217 2234355 2532269 3718695 3723925 4214521 6197825 6703065 7596807 11156085 11171775 12643563 12661345 18593475 21072605 22790421 33515325 37930689 37984035 55780425 63217815 63306725 105363025 113952105 189653445 189920175 316089075 569760525 948267225 36928376741 110785130223 184641883705 332355390669 553925651115 627782404597 923209418525 1661776953345 1883347213791 2769628255575 3138912022985 5650041641373 8308884766725 9416736068955 15694560114925 28250208206865 47083680344775 141251041034325