Search a number
-
+
2042504000000 = 2956255313
BaseRepresentation
bin11101101110001110101…
…110011011001000000000
321020021001121121202201022
4131232032232123020000
5231431022011000000
64202151405125012
7300365103354302
oct35561656331000
97207047552638
102042504000000
11718248295112
1228ba26559768
1311a7b8316929
1470c0182d972
15381e4730585
hex1db8eb9b200

2042504000000 has 140 divisors (see below), whose sum is σ = 5101228101882. Its totient is φ = 816998400000.

The previous prime is 2042503999993. The next prime is 2042504000039. The reversal of 2042504000000 is 4052402.

It can be written as a sum of positive squares in 7 ways, for example, as 505737167104 + 1536766832896 = 711152^2 + 1239664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7872344 + ... + 8127656.

Almost surely, 22042504000000 is an apocalyptic number.

2042504000000 is a gapful number since it is divisible by the number (20) 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 2042504000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550614050941).

2042504000000 is an abundant number, since it is smaller than the sum of its proper divisors (3058724101882).

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

2042504000000 is an frugal number, since it uses more digits than its factorization.

2042504000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255361 (or 255320 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

Adding to 2042504000000 its reverse (4052402), we get a palindrome (2042508052402).

The spelling of 2042504000000 in words is "two trillion, forty-two billion, five hundred four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 31250 32000 40000 50000 62500 64000 80000 100000 125000 160000 200000 250000 255313 320000 400000 500000 510626 800000 1000000 1021252 1276565 1600000 2000000 2042504 2553130 4000000 4085008 5106260 6382825 8000000 8170016 10212520 12765650 16340032 20425040 25531300 31914125 32680064 40850080 51062600 63828250 65360128 81700160 102125200 127656500 130720256 159570625 163400320 204250400 255313000 319141250 326800640 408500800 510626000 638282500 653601280 797853125 817001600 1021252000 1276565000 1595706250 1634003200 2042504000 2553130000 3191412500 3268006400 3989265625 4085008000 5106260000 6382825000 7978531250 8170016000 10212520000 12765650000 15957062500 16340032000 20425040000 25531300000 31914125000 40850080000 51062600000 63828250000 81700160000 102125200000 127656500000 204250400000 255313000000 408500800000 510626000000 1021252000000 2042504000000