Search a number
-
+
141861456 = 24351131107
BaseRepresentation
bin10000111010010…
…10001001010000
3100212221022100000
420131022021100
5242304031311
622024330000
73341542152
oct1035121120
9325838300
10141861456
1173093680
123b613900
132350c6b9
1414baaad2
15c6c3056
hex874a250

141861456 has 240 divisors, whose sum is σ = 467970048. Its totient is φ = 41212800.

The previous prime is 141861451. The next prime is 141861457. The reversal of 141861456 is 654168141.

141861456 is a `hidden beast` number, since 141 + 8 + 61 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 141861456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141861451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1325755 + ... + 1325861.

Almost surely, 2141861456 is an apocalyptic number.

141861456 is a gapful number since it is divisible by the number (16) 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 141861456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

141861456 is an abundant number, since it is smaller than the sum of its proper divisors (326108592).

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

141861456 is a wasteful number, since it uses less digits than its factorization.

141861456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

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

The square root of 141861456 is about 11910.5606920917. The cubic root of 141861456 is about 521.5406184360.

The spelling of 141861456 in words is "one hundred forty-one million, eight hundred sixty-one thousand, four hundred fifty-six".