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1423431144 = 23343759369
BaseRepresentation
bin101010011010111…
…1101010111101000
310200012102210110000
41110311331113220
510403344244034
6353125023000
750162652012
oct12465752750
93605383400
101423431144
11670542983
12338854a60
13198b93865
14d70911b2
1584e72599
hex54d7d5e8

1423431144 has 80 divisors (see below), whose sum is σ = 4094748900. Its totient is φ = 461645568.

The previous prime is 1423431137. The next prime is 1423431167. The reversal of 1423431144 is 4411343241.

It can be written as a sum of positive squares in 2 ways, for example, as 1416619044 + 6812100 = 37638^2 + 2610^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5709 + ... + 53660.

Almost surely, 21423431144 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 1423431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047374450).

1423431144 is an abundant number, since it is smaller than the sum of its proper divisors (2671317756).

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

1423431144 is a wasteful number, since it uses less digits than its factorization.

1423431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59424 (or 59411 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1423431144 is about 37728.3864484025. The cubic root of 1423431144 is about 1124.8954356148.

Adding to 1423431144 its reverse (4411343241), we get a palindrome (5834774385).

The spelling of 1423431144 in words is "one billion, four hundred twenty-three million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1998 2664 2997 3996 5994 7992 11988 23976 59369 118738 178107 237476 356214 474952 534321 712428 1068642 1424856 1602963 2137284 2196653 3205926 4274568 4393306 4808889 6411852 6589959 8786612 9617778 12823704 13179918 17573224 19235556 19769877 26359836 38471112 39539754 52719672 59309631 79079508 118619262 158159016 177928893 237238524 355857786 474477048 711715572 1423431144