Search a number
-
+
141408500166 = 2337327012
BaseRepresentation
bin1000001110110010011…
…0100111100111000110
3111112000000001002202000
42003230212213213012
54304101034001131
6144543454530130
713134143263533
oct2035446474706
9445000032660
10141408500166
1154a7545916a
12234a5506946
131044762874b
146bb6713d8a
153a296e4ce6
hex20ec9a79c6

141408500166 has 72 divisors (see below), whose sum is σ = 319059901080. Its totient is φ = 46424145600.

The previous prime is 141408500147. The next prime is 141408500227. The reversal of 141408500166 is 661005804141.

141408500166 is a `hidden beast` number, since 1 + 4 + 140 + 8 + 500 + 1 + 6 + 6 = 666.

141408500166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 141408500166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201723616 + ... + 201724316.

It is an arithmetic number, because the mean of its divisors is an integer number (4431387515).

Almost surely, 2141408500166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141408500166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159529950540).

141408500166 is an abundant number, since it is smaller than the sum of its proper divisors (177651400914).

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

141408500166 is an frugal number, since it uses more digits than its factorization.

141408500166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 141408500166 in words is "one hundred forty-one billion, four hundred eight million, five hundred thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 657 701 1314 1402 1971 2103 3942 4206 5329 6309 10658 12618 15987 18927 31974 37854 47961 51173 95922 102346 143883 153519 287766 307038 460557 491401 921114 982802 1381671 1474203 2763342 2948406 3735629 4422609 7471258 8845218 11206887 13267827 22413774 26535654 33620661 35872273 67241322 71744546 100861983 107616819 201723966 215233638 322850457 645700914 968551371 1937102742 2618675929 5237351858 7856027787 15712055574 23568083361 47136166722 70704250083 141408500166