Search a number
-
+
8421000144 = 243592973517
BaseRepresentation
bin1111101011110111…
…00100001111010000
3210201212121010112020
413311323210033100
5114221234001034
63511335131440
7415452214554
oct76573441720
923655533466
108421000144
113631487057
121770213b80
13a4282812b
1459c577864
1534445b249
hex1f5ee43d0

8421000144 has 40 divisors (see below), whose sum is σ = 22122973920. Its totient is φ = 2759422848.

The previous prime is 8421000121. The next prime is 8421000151. The reversal of 8421000144 is 4410001248.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1483927 + ... + 1489590.

It is an arithmetic number, because the mean of its divisors is an integer number (553074348).

Almost surely, 28421000144 is an apocalyptic number.

It is an amenable number.

8421000144 is an abundant number, since it is smaller than the sum of its proper divisors (13701973776).

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

8421000144 is a wasteful number, since it uses less digits than its factorization.

8421000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973587 (or 2973581 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8421000144 is about 91766.0075627135. The cubic root of 8421000144 is about 2034.4853094501.

It can be divided in two parts, 842 and 1000144, that multiplied together give a palindrome (842121248).

The spelling of 8421000144 in words is "eight billion, four hundred twenty-one million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 2973517 5947034 8920551 11894068 17841102 23788136 35682204 47576272 71364408 142728816 175437503 350875006 526312509 701750012 1052625018 1403500024 2105250036 2807000048 4210500072 8421000144