Search a number
-
+
141382014444 = 223211357025289
BaseRepresentation
bin1000001110101100000…
…1100101010111101100
3111111221011012111011100
42003223001211113230
54304022243430234
6144541111123100
713133402202636
oct2035301452754
9444834174140
10141382014444
1154a61509040
1223498673490
1310441cb4218
146bb2dbba56
153a27212399
hex20eb0655ec

141382014444 has 36 divisors (see below), whose sum is σ = 389871616680. Its totient is φ = 42843034560.

The previous prime is 141382014443. The next prime is 141382014467. The reversal of 141382014444 is 444410283141.

141382014444 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 8 + 201 + 4 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 141382014399 and 141382014408.

It is not an unprimeable number, because it can be changed into a prime (141382014443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178512249 + ... + 178513040.

It is an arithmetic number, because the mean of its divisors is an integer number (10829767130).

Almost surely, 2141382014444 is an apocalyptic number.

It is an amenable number.

141382014444 is an abundant number, since it is smaller than the sum of its proper divisors (248489602236).

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

141382014444 is a wasteful number, since it uses less digits than its factorization.

141382014444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357025310 (or 357025305 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 141382014444 its reverse (444410283141), we get a palindrome (585792297585).

The spelling of 141382014444 in words is "one hundred forty-one billion, three hundred eighty-two million, fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 357025289 714050578 1071075867 1428101156 2142151734 3213227601 3927278179 4284303468 6426455202 7854556358 11781834537 12852910404 15709112716 23563669074 35345503611 47127338148 70691007222 141382014444