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13741310403280 = 2451091575838349
BaseRepresentation
bin1100011111110110010111…
…1011001110001011010000
31210122122201112210211212201
43013331211323032023100
53300114200430401110
645120400523132544
72615530324145425
oct307754573161320
953578645724781
1013741310403280
11441872553a849
12165b1a9074154
13788a52815b65
14357123965d4c
1518c69a2bdb3a
hexc7f65ece2d0

13741310403280 has 40 divisors (see below), whose sum is σ = 32241652641000. Its totient is φ = 5446097330688.

The previous prime is 13741310403239. The next prime is 13741310403281. The reversal of 13741310403280 is 8230401314731.

It can be written as a sum of positive squares in 4 ways, for example, as 6911304492096 + 6830005911184 = 2628936^2 + 2613428^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×137413104032802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13741310403281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 787910455 + ... + 787927894.

It is an arithmetic number, because the mean of its divisors is an integer number (806041316025).

Almost surely, 213741310403280 is an apocalyptic number.

13741310403280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13741310403280 is an abundant number, since it is smaller than the sum of its proper divisors (18500342237720).

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

13741310403280 is a wasteful number, since it uses less digits than its factorization.

13741310403280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575838471 (or 1575838465 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 13741310403280 in words is "thirteen trillion, seven hundred forty-one billion, three hundred ten million, four hundred three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 1575838349 3151676698 6303353396 7879191745 12606706792 15758383490 25213413584 31516766980 63033533960 126067067920 171766380041 343532760082 687065520164 858831900205 1374131040328 1717663800410 2748262080656 3435327600820 6870655201640 13741310403280