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5144000000 = 2956643
BaseRepresentation
bin1001100101001101…
…10011011000000000
3111021111100021102112
410302212303120000
541013331000000
62210233434452
7241321164356
oct46246633000
914244307375
105144000000
1121aa721377
12bb686ba28
1363c9397a9
1436b2677d6
152018ed235
hex1329b3600

5144000000 has 140 divisors (see below), whose sum is σ = 12867257172. Its totient is φ = 2054400000.

The previous prime is 5143999981. The next prime is 5144000033. The reversal of 5144000000 is 4415.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7999679 + ... + 8000321.

Almost surely, 25144000000 is an apocalyptic number.

5144000000 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 5144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433628586).

5144000000 is an abundant number, since it is smaller than the sum of its proper divisors (7723257172).

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

5144000000 is an frugal number, since it uses more digits than its factorization.

5144000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 5144000000 is about 71721.6843081644. The cubic root of 5144000000 is about 1726.2365984317.

Adding to 5144000000 its reverse (4415), we get a palindrome (5144004415).

The spelling of 5144000000 in words is "five billion, one hundred forty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 643 800 1000 1250 1280 1286 1600 2000 2500 2560 2572 3125 3200 3215 4000 5000 5144 6250 6400 6430 8000 10000 10288 12500 12800 12860 15625 16000 16075 20000 20576 25000 25720 31250 32000 32150 40000 41152 50000 51440 62500 64000 64300 80000 80375 82304 100000 102880 125000 128600 160000 160750 164608 200000 205760 250000 257200 320000 321500 329216 400000 401875 411520 500000 514400 643000 800000 803750 823040 1000000 1028800 1286000 1600000 1607500 1646080 2000000 2009375 2057600 2572000 3215000 4000000 4018750 4115200 5144000 6430000 8000000 8037500 8230400 10046875 10288000 12860000 16075000 20093750 20576000 25720000 32150000 40187500 41152000 51440000 64300000 80375000 102880000 128600000 160750000 205760000 257200000 321500000 514400000 643000000 1028800000 1286000000 2572000000 5144000000