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13740997284 = 22327227912
BaseRepresentation
bin11001100110000011…
…01111101010100100
31022110122002222122100
430303001233222210
5211120143403114
610151301132100
7664341356400
oct146301575244
938418088570
1013740997284
115911486703
1227b59ba030
1313aca66831
14944d36100
15556521909
hex33306faa4

13740997284 has 81 divisors (see below), whose sum is σ = 40419557451. Its totient is φ = 3924592560.

The previous prime is 13740997267. The next prime is 13740997301. The reversal of 13740997284 is 48279904731.

The square root of 13740997284 is 117222.

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

13740997284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13740997267) and next prime (13740997301).

It is a self number, because there is not a number n which added to its sum of digits gives 13740997284.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4921929 + ... + 4924719.

Almost surely, 213740997284 is an apocalyptic number.

13740997284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13740997284 is the 117222-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13740997284

13740997284 is an abundant number, since it is smaller than the sum of its proper divisors (26678560167).

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

13740997284 is an equidigital number, since it uses as much as digits as its factorization.

13740997284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 13740997284 in words is "thirteen billion, seven hundred forty million, nine hundred ninety-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 2791 5582 8373 11164 16746 19537 25119 33492 39074 50238 58611 78148 100476 117222 136759 175833 234444 273518 351666 410277 547036 703332 820554 1230831 1641108 2461662 4923324 7789681 15579362 23369043 31158724 46738086 54527767 70107129 93476172 109055534 140214258 163583301 218111068 280428516 327166602 381694369 490749903 654333204 763388738 981499806 1145083107 1526777476 1962999612 2290166214 3435249321 4580332428 6870498642 13740997284