Search a number
-
+
141470040 = 23357914923
BaseRepresentation
bin10000110111010…
…10100101011000
3100212012102102010
420123222211120
5242204020130
622012105520
73335322045
oct1033524530
9325172363
10141470040
1172946598
123b4652a0
13234034aa
1414b081cc
15c6470b0
hex86ea958

141470040 has 64 divisors (see below), whose sum is σ = 429811200. Its totient is φ = 37245312.

The previous prime is 141470027. The next prime is 141470057. The reversal of 141470040 is 40074141.

It is a junction number, because it is equal to n+sod(n) for n = 141469989 and 141470016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2019 + ... + 16941.

It is an arithmetic number, because the mean of its divisors is an integer number (6715800).

Almost surely, 2141470040 is an apocalyptic number.

141470040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141470040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214905600).

141470040 is an abundant number, since it is smaller than the sum of its proper divisors (288341160).

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

141470040 is a wasteful number, since it uses less digits than its factorization.

141470040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15016 (or 15012 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 141470040 is about 11894.1178739745. The cubic root of 141470040 is about 521.0605082716.

The spelling of 141470040 in words is "one hundred forty-one million, four hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 9480 14923 29846 44769 59692 74615 89538 119384 149230 179076 223845 298460 358152 447690 596920 895380 1178917 1790760 2357834 3536751 4715668 5894585 7073502 9431336 11789170 14147004 17683755 23578340 28294008 35367510 47156680 70735020 141470040