Search a number
-
+
1421314224 = 2431126910007
BaseRepresentation
bin101010010110111…
…1000100010110000
310200001110020120120
41110231320202300
510402324023344
6353011410240
750135654151
oct12455704260
93601406516
101421314224
1166a327460
12337bb3980
13198602145
14d6a9d928
1584ba5219
hex54b788b0

1421314224 has 80 divisors (see below), whose sum is σ = 4020814080. Its totient is φ = 429057280.

The previous prime is 1421314207. The next prime is 1421314229. The reversal of 1421314224 is 4224131241.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1421314194 and 1421314203.

It is not an unprimeable number, because it can be changed into a prime (1421314229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137029 + ... + 147035.

It is an arithmetic number, because the mean of its divisors is an integer number (50260176).

Almost surely, 21421314224 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 1421314224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010407040).

1421314224 is an abundant number, since it is smaller than the sum of its proper divisors (2599499856).

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

1421314224 is a wasteful number, since it uses less digits than its factorization.

1421314224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10298 (or 10292 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 1421314224 is about 37700.3212718406. The cubic root of 1421314224 is about 1124.3375125698.

Adding to 1421314224 its reverse (4224131241), we get a palindrome (5645445465).

The spelling of 1421314224 in words is "one billion, four hundred twenty-one million, three hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 269 528 538 807 1076 1614 2152 2959 3228 4304 5918 6456 8877 10007 11836 12912 17754 20014 23672 30021 35508 40028 47344 60042 71016 80056 110077 120084 142032 160112 220154 240168 330231 440308 480336 660462 880616 1320924 1761232 2641848 2691883 5283696 5383766 8075649 10767532 16151298 21535064 29610713 32302596 43070128 59221426 64605192 88832139 118442852 129210384 177664278 236885704 355328556 473771408 710657112 1421314224