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514340534112 = 25317397793853
BaseRepresentation
bin1110111110000010001…
…01011011011101100000
31211011121021110022210120
413133001011123131200
531411332134042422
61032141302400240
752105560255606
oct7370105333540
91734537408716
10514340534112
11189148905a89
1283823730080
133966b17a412
141ac73a21876
15d5a4ad045c
hex77c115b760

514340534112 has 96 divisors (see below), whose sum is σ = 1433166854112. Its totient is φ = 160955080704.

The previous prime is 514340534111. The next prime is 514340534117. The reversal of 514340534112 is 211435043415.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514340534111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250978 + ... + 1044830.

It is an arithmetic number, because the mean of its divisors is an integer number (14928821397).

Almost surely, 2514340534112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514340534112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716583427056).

514340534112 is an abundant number, since it is smaller than the sum of its proper divisors (918826320000).

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

514340534112 is a wasteful number, since it uses less digits than its factorization.

514340534112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794280 (or 794272 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 514340534112 its reverse (211435043415), we get a palindrome (725775577527).

The spelling of 514340534112 in words is "five hundred fourteen billion, three hundred forty million, five hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 397 408 544 794 816 1191 1588 1632 2382 3176 4764 6352 6749 9528 12704 13498 19056 20247 26996 38112 40494 53992 80988 107984 161976 215968 323952 647904 793853 1587706 2381559 3175412 4763118 6350824 9526236 12701648 13495501 19052472 25403296 26991002 38104944 40486503 53982004 76209888 80973006 107964008 161946012 215928016 315159641 323892024 431856032 630319282 647784048 945478923 1260638564 1295568096 1890957846 2521277128 3781915692 5042554256 5357713897 7563831384 10085108512 10715427794 15127662768 16073141691 21430855588 30255325536 32146283382 42861711176 64292566764 85723422352 128585133528 171446844704 257170267056 514340534112