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5142320000 = 275464279
BaseRepresentation
bin1001100101000000…
…11001001110000000
3111021101011220220022
410302200121032000
541012413220000
62210133433012
7241300666406
oct46240311600
914241156808
105142320000
1121a9784144
12bb619b768
1363c49bbcc
1436ad4b476
152016ba585
hex132819380

5142320000 has 80 divisors (see below), whose sum is σ = 12801683400. Its totient is φ = 2056896000.

The previous prime is 5142319997. The next prime is 5142320017. The reversal of 5142320000 is 232415.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 47861 + ... + 112139.

Almost surely, 25142320000 is an apocalyptic number.

5142320000 is a gapful number since it is divisible by the number (50) 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 5142320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400841700).

5142320000 is an abundant number, since it is smaller than the sum of its proper divisors (7659363400).

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

5142320000 is an frugal number, since it uses more digits than its factorization.

5142320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64313 (or 64286 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 5142320000 is about 71709.9714126285. The cubic root of 5142320000 is about 1726.0486517457.

Adding to 5142320000 its reverse (232415), we get a palindrome (5142552415).

The spelling of 5142320000 in words is "five billion, one hundred forty-two million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 64279 80000 128558 257116 321395 514232 642790 1028464 1285580 1606975 2056928 2571160 3213950 4113856 5142320 6427900 8034875 8227712 10284640 12855800 16069750 20569280 25711600 32139500 40174375 41138560 51423200 64279000 80348750 102846400 128558000 160697500 205692800 257116000 321395000 514232000 642790000 1028464000 1285580000 2571160000 5142320000