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500014120000 = 265452123993
BaseRepresentation
bin1110100011010110010…
…10011111110001000000
31202210121211210002020111
413101223022133301000
531143012103320000
61021411525521104
751060546615463
oct7215312376100
91683554702214
10500014120000
11183066a3201a
1280aa5873194
13381c70529c5
141a2b505b2da
15d016ec1cba
hex746b29fc40

500014120000 has 140 divisors (see below), whose sum is σ = 1242304082316. Its totient is φ = 199613440000.

The previous prime is 500014119973. The next prime is 500014120043. The reversal of 500014120000 is 21410005.

It can be written as a sum of positive squares in 10 ways, for example, as 499781130304 + 232989696 = 706952^2 + 15264^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20828004 + ... + 20851996.

Almost surely, 2500014120000 is an apocalyptic number.

500014120000 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 500014120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621152041158).

500014120000 is an abundant number, since it is smaller than the sum of its proper divisors (742289962316).

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

500014120000 is an equidigital number, since it uses as much as digits as its factorization.

500014120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24546 (or 24521 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

Adding to 500014120000 its reverse (21410005), we get a palindrome (500035530005).

The spelling of 500014120000 in words is "five hundred billion, fourteen million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 521 625 800 1000 1042 1250 1600 2000 2084 2500 2605 4000 4168 5000 5210 8000 8336 10000 10420 13025 16672 20000 20840 23993 26050 33344 40000 41680 47986 52100 65125 83360 95972 104200 119965 130250 166720 191944 208400 239930 260500 325625 383888 416800 479860 521000 599825 651250 767776 833600 959720 1042000 1199650 1302500 1535552 1919440 2084000 2399300 2605000 2999125 3838880 4168000 4798600 5210000 5998250 7677760 9597200 10420000 11996500 12500353 14995625 19194400 20840000 23993000 25000706 29991250 38388800 47986000 50001412 59982500 62501765 95972000 100002824 119965000 125003530 191944000 200005648 239930000 250007060 312508825 400011296 479860000 500014120 625017650 800022592 959720000 1000028240 1250035300 1562544125 2000056480 2500070600 3125088250 4000112960 5000141200 6250176500 7812720625 10000282400 12500353000 15625441250 20000564800 25000706000 31250882500 50001412000 62501765000 100002824000 125003530000 250007060000 500014120000