Search a number
-
+
151324144 = 2431595171
BaseRepresentation
bin10010000010100…
…00010111110000
3101112202001200221
421001100113300
5302214333034
623003222424
73515143156
oct1101202760
9345661627
10151324144
1178467084
1242817a14
132547381a
14161513d6
15d441bb4
hex90505f0

151324144 has 40 divisors (see below), whose sum is σ = 307837440. Its totient is φ = 71966400.

The previous prime is 151324139. The next prime is 151324207. The reversal of 151324144 is 441423151.

151324144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26679 + ... + 31849.

It is an arithmetic number, because the mean of its divisors is an integer number (7695936).

Almost surely, 2151324144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153918720).

151324144 is an abundant number, since it is smaller than the sum of its proper divisors (156513296).

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

151324144 is a wasteful number, since it uses less digits than its factorization.

151324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269 (or 5263 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 151324144 is about 12301.3878891774. The cubic root of 151324144 is about 532.8881653317. Note that the first 3 decimals are identical.

Adding to 151324144 its reverse (441423151), we get a palindrome (592747295).

The spelling of 151324144 in words is "one hundred fifty-one million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 59 62 118 124 236 248 472 496 944 1829 3658 5171 7316 10342 14632 20684 29264 41368 82736 160301 305089 320602 610178 641204 1220356 1282408 2440712 2564816 4881424 9457759 18915518 37831036 75662072 151324144