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514032412000 = 2553156782009
BaseRepresentation
bin1110111101011101011…
…10000010010101100000
31211010210210200002201111
413132232232002111200
531410214244141000
61032050534313104
752065126260452
oct7365656022540
91733723602644
10514032412000
11188aaa994308
12837584b8794
133961c397743
141ac44b362d2
15d587a19cba
hex77aeb82560

514032412000 has 96 divisors (see below), whose sum is σ = 1263799031040. Its totient is φ = 205479244800.

The previous prime is 514032411961. The next prime is 514032412013. The reversal of 514032412000 is 214230415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6226996 + ... + 6309004.

It is an arithmetic number, because the mean of its divisors is an integer number (13164573240).

Almost surely, 2514032412000 is an apocalyptic number.

514032412000 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 514032412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631899515520).

514032412000 is an abundant number, since it is smaller than the sum of its proper divisors (749766619040).

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

514032412000 is a wasteful number, since it uses less digits than its factorization.

514032412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83601 (or 83583 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 514032412000 its reverse (214230415), we get a palindrome (514246642415).

The spelling of 514032412000 in words is "five hundred fourteen billion, thirty-two million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1567 2000 3134 4000 6268 7835 12536 15670 25072 31340 39175 50144 62680 78350 82009 125360 156700 164018 195875 250720 313400 328036 391750 410045 626800 656072 783500 820090 1253600 1312144 1567000 1640180 2050225 2624288 3134000 3280360 4100450 6268000 6560720 8200900 10251125 13121440 16401800 20502250 32803600 41004500 65607200 82009000 128508103 164018000 257016206 328036000 514032412 642540515 1028064824 1285081030 2056129648 2570162060 3212702575 4112259296 5140324120 6425405150 10280648240 12850810300 16063512875 20561296480 25701620600 32127025750 51403241200 64254051500 102806482400 128508103000 257016206000 514032412000