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13743341824 = 281724312
BaseRepresentation
bin11001100110010101…
…01100000100000000
31022110210112002202011
430303022230010000
5211121243414244
610151423302304
7664400322652
oct146312540400
938423462664
1013743341824
115912838143
1227b674a994
1313b03a7a34
149453866d2
15556836434
hex3332ac100

13743341824 has 81 divisors (see below), whose sum is σ = 29209399261. Its totient is φ = 6452449280.

The previous prime is 13743341803. The next prime is 13743341837. The reversal of 13743341824 is 42814334731.

The square root of 13743341824 is 117232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10699833600 + 3043508224 = 103440^2 + 55168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31886889 + ... + 31887319.

Almost surely, 213743341824 is an apocalyptic number.

13743341824 is the 117232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13743341824

13743341824 is an abundant number, since it is smaller than the sum of its proper divisors (15466057437).

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

13743341824 is an frugal number, since it uses more digits than its factorization.

13743341824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 450 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The spelling of 13743341824 in words is "thirteen billion, seven hundred forty-three million, three hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 431 544 578 862 1088 1156 1724 2176 2312 3448 4352 4624 6896 7327 9248 13792 14654 18496 27584 29308 36992 55168 58616 73984 110336 117232 124559 185761 234464 249118 371522 468928 498236 743044 937856 996472 1486088 1875712 1992944 2972176 3157937 3985888 5944352 6315874 7971776 11888704 12631748 15943552 23777408 25263496 31887104 47554816 50526992 53684929 101053984 107369858 202107968 214739716 404215936 429479432 808431872 858958864 1717917728 3435835456 6871670912 13743341824