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5323014144 = 214357191
BaseRepresentation
bin1001111010100011…
…01100000000000000
3111201222012010200000
410331101230000000
541400142423034
62240110400000
7245623605450
oct47521540000
914658163600
105323014144
112291780348
121046800000
1366aa56a16
14386d45d60
152124ae599
hex13d46c000

5323014144 has 360 divisors, whose sum is σ = 18320160768. Its totient is φ = 1512898560.

The previous prime is 5323014121. The next prime is 5323014173. The reversal of 5323014144 is 4414103235.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27869089 + ... + 27869279.

Almost surely, 25323014144 is an apocalyptic number.

5323014144 is a gapful number since it is divisible by the number (54) 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 5323014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160080384).

5323014144 is an abundant number, since it is smaller than the sum of its proper divisors (12997146624).

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

5323014144 is an frugal number, since it uses more digits than its factorization.

5323014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5323014144 is about 72958.9894666860. The cubic root of 5323014144 is about 1746.0333716653.

Adding to 5323014144 its reverse (4414103235), we get a palindrome (9737117379).

The spelling of 5323014144 in words is "five billion, three hundred twenty-three million, fourteen thousand, one hundred forty-four".