Search a number
-
+
141204123234 = 2337337994513
BaseRepresentation
bin1000001110000001101…
…0111110111001100010
3111111110202110200022000
42003200122332321202
54303141223420414
6144511314224430
713126112146446
oct2034032767142
9444422420260
10141204123234
1154980056809
1223448b85116
131041419b155
146b97512826
153a167c3b09
hex20e06bee62

141204123234 has 64 divisors (see below), whose sum is σ = 318928041600. Its totient is φ = 46300294656.

The previous prime is 141204123187. The next prime is 141204123239. The reversal of 141204123234 is 432321402141.

141204123234 is a `hidden beast` number, since 1 + 4 + 12 + 0 + 412 + 3 + 234 = 666.

It is a super-3 number, since 3×1412041232343 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 141204123198 and 141204123207.

It is not an unprimeable number, because it can be changed into a prime (141204123239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1446762 + ... + 1541274.

It is an arithmetic number, because the mean of its divisors is an integer number (4983250650).

Almost surely, 2141204123234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141204123234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159464020800).

141204123234 is an abundant number, since it is smaller than the sum of its proper divisors (177723918366).

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

141204123234 is a wasteful number, since it uses less digits than its factorization.

141204123234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94976 (or 94970 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 141204123234 its reverse (432321402141), we get a palindrome (573525525375).

The spelling of 141204123234 in words is "one hundred forty-one billion, two hundred four million, one hundred twenty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 379 438 657 758 1137 1314 1971 2274 3411 3942 6822 10233 20466 27667 55334 83001 94513 166002 189026 249003 283539 498006 567078 747009 850617 1494018 1701234 2551851 5103702 6899449 13798898 20698347 35820427 41396694 62095041 71640854 107461281 124190082 186285123 214922562 322383843 372570246 644767686 967151529 1934303058 2614891171 5229782342 7844673513 15689347026 23534020539 47068041078 70602061617 141204123234