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5000314000 = 2453111671361
BaseRepresentation
bin1001010100000101…
…01011110010010000
3110220110222021021211
410222002223302100
540220040022000
62144102025504
7234624652633
oct45202536220
913813867254
105000314000
112136601a10
12b76718294
13618c3b7a6
14356143c1a
151e3eb97ba
hex12a0abc90

5000314000 has 160 divisors (see below), whose sum is σ = 13278650112. Its totient is φ = 1806080000.

The previous prime is 5000313979. The next prime is 5000314019. The reversal of 5000314000 is 4130005.

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 31 ways as a sum of consecutive naturals, for example, 3673320 + ... + 3674680.

Almost surely, 25000314000 is an apocalyptic number.

5000314000 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 5000314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639325056).

5000314000 is an abundant number, since it is smaller than the sum of its proper divisors (8278336112).

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

5000314000 is a wasteful number, since it uses less digits than its factorization.

5000314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 5000314000 is about 70712.8983990898. The cubic root of 5000314000 is about 1710.0117414239.

Adding to 5000314000 its reverse (4130005), we get a palindrome (5004444005).

The spelling of 5000314000 in words is "five billion, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 167 176 200 220 250 275 334 400 440 500 550 668 835 880 1000 1100 1336 1361 1375 1670 1837 2000 2200 2672 2722 2750 3340 3674 4175 4400 5444 5500 6680 6805 7348 8350 9185 10888 11000 13360 13610 14696 14971 16700 18370 20875 21776 22000 27220 29392 29942 33400 34025 36740 41750 45925 54440 59884 66800 68050 73480 74855 83500 91850 108880 119768 136100 146960 149710 167000 170125 183700 227287 229625 239536 272200 299420 334000 340250 367400 374275 454574 459250 544400 598840 680500 734800 748550 909148 918500 1136435 1197680 1361000 1497100 1818296 1837000 1871375 2272870 2500157 2722000 2994200 3636592 3674000 3742750 4545740 5000314 5682175 5988400 7485500 9091480 10000628 11364350 12500785 14971000 18182960 20001256 22728700 25001570 28410875 29942000 40002512 45457400 50003140 56821750 62503925 90914800 100006280 113643500 125007850 200012560 227287000 250015700 312519625 454574000 500031400 625039250 1000062800 1250078500 2500157000 5000314000