Search a number
-
+
140577444 = 223677197
BaseRepresentation
bin10000110000100…
…00101010100100
3100210112002000000
420120100222210
5241441434234
621541021300
73324613530
oct1030205244
9323462000
10140577444
1172396a07
123b0b4830
1323180127
1414954bc0
15c51c899
hex8610aa4

140577444 has 168 divisors, whose sum is σ = 431883648. Its totient is φ = 39191040.

The previous prime is 140577439. The next prime is 140577461. The reversal of 140577444 is 444775041.

It is a happy number.

140577444 is a `hidden beast` number, since 1 + 40 + 577 + 4 + 44 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 140577399 and 140577408.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1449204 + ... + 1449300.

It is an arithmetic number, because the mean of its divisors is an integer number (2570736).

Almost surely, 2140577444 is an apocalyptic number.

140577444 is a gapful number since it is divisible by the number (14) 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 140577444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215941824).

140577444 is an abundant number, since it is smaller than the sum of its proper divisors (291306204).

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

140577444 is an equidigital number, since it uses as much as digits as its factorization.

140577444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 140577444 is about 11856.5359190617. The cubic root of 140577444 is about 519.9623296182.

The spelling of 140577444 in words is "one hundred forty million, five hundred seventy-seven thousand, four hundred forty-four".