Search a number
-
+
141246440334 = 2344347942331
BaseRepresentation
bin1000001110001011110…
…0011010001110001110
3111111120201002121110000
42003202330122032032
54303233042042314
6144515425225130
713130134635066
oct2034274321616
9444521077400
10141246440334
11549a1a2a21a
122345b1921a6
131041cb9655c
146b9cdaa3a6
153a1a382209
hex20e2f1a38e

141246440334 has 80 divisors (see below), whose sum is σ = 324540817920. Its totient is φ = 45890122320.

The previous prime is 141246440333. The next prime is 141246440341. The reversal of 141246440334 is 433044642141.

141246440334 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 4 + 644 + 0 + 3 + 3 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141246440333) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3315549 + ... + 3357879.

It is an arithmetic number, because the mean of its divisors is an integer number (4056760224).

Almost surely, 2141246440334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141246440334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162270408960).

141246440334 is an abundant number, since it is smaller than the sum of its proper divisors (183294377586).

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

141246440334 is a wasteful number, since it uses less digits than its factorization.

141246440334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42867 (or 42858 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 141246440334 in words is "one hundred forty-one billion, two hundred forty-six million, four hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 258 387 479 774 958 1161 1437 2322 2874 3483 4311 6966 8622 12933 20597 25866 38799 41194 42331 61791 77598 84662 123582 126993 185373 253986 370746 380979 556119 761958 1112238 1142937 1668357 1820233 2285874 3336714 3428811 3640466 5460699 6857622 10921398 16382097 20276549 32764194 40553098 49146291 60829647 98292582 121659294 147438873 182488941 294877746 364977882 547466823 871891607 1094933646 1642400469 1743783214 2615674821 3284800938 5231349642 7847024463 15694048926 23541073389 47082146778 70623220167 141246440334