Search a number
-
+
140550144 = 213371943
BaseRepresentation
bin10000110000010…
…10000000000000
3100210110200112220
420120022000000
5241440101034
621540251040
73324441120
oct1030120000
9323420486
10140550144
1172378449
123b0a0a80
1323170887
1414948c80
15c514749
hex860a000

140550144 has 224 divisors, whose sum is σ = 461345280. Its totient is φ = 37158912.

The previous prime is 140550139. The next prime is 140550149. The reversal of 140550144 is 441055041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140550139) and next prime (140550149).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140550149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3268587 + ... + 3268629.

Almost surely, 2140550144 is an apocalyptic number.

140550144 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 140550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230672640).

140550144 is an abundant number, since it is smaller than the sum of its proper divisors (320795136).

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

140550144 is an equidigital number, since it uses as much as digits as its factorization.

140550144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 140550144 is about 11855.3845994130. The cubic root of 140550144 is about 519.9286687165.

The spelling of 140550144 in words is "one hundred forty million, five hundred fifty thousand, one hundred forty-four".