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1391680293025 = 521128922412
BaseRepresentation
bin10100010000000110100…
…111000000100010100001
311221001011120222220001111
4110100012213000202201
5140300130123334100
62543155030303321
7202355064211411
oct24200647004241
94831146886044
101391680293025
11497232276300
121a5872ab7b41
13a1309086039
144b5016bc641
1526302a616ba
hex144069c08a1

1391680293025 has 81 divisors (see below), whose sum is σ = 1926370955019. Its totient is φ = 996606336000.

The previous prime is 1391680293023. The next prime is 1391680293071. The reversal of 1391680293025 is 5203920861931.

The square root of 1391680293025 is 1179695.

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

It can be written as a sum of positive squares in 13 ways, for example, as 978945999889 + 412734293136 = 989417^2 + 642444^2 .

It is not a de Polignac number, because 1391680293025 - 21 = 1391680293023 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1391680293025.

It is not an unprimeable number, because it can be changed into a prime (1391680293023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5774606905 + ... + 5774607145.

Almost surely, 21391680293025 is an apocalyptic number.

1391680293025 is the 1179695-th square number.

1391680293025 is the 589848-th centered octagonal number.

It is an amenable number.

1391680293025 is a deficient number, since it is larger than the sum of its proper divisors (534690661994).

1391680293025 is an frugal number, since it uses more digits than its factorization.

1391680293025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

Multiplying 1391680293025 by its sum of digits (49), we get a square (68192334358225 = 82578652).

The spelling of 1391680293025 in words is "one trillion, three hundred ninety-one billion, six hundred eighty million, two hundred ninety-three thousand, twenty-five".

Divisors: 1 5 11 25 55 89 121 241 275 445 605 979 1205 2225 2651 3025 4895 6025 7921 10769 13255 21449 24475 29161 39605 53845 58081 66275 87131 107245 145805 198025 235939 269225 290405 435655 536225 638891 729025 958441 1179695 1452025 1908961 2178275 2595329 3194455 4792205 5169209 5898475 7027801 9544805 12976645 15972275 20998571 23961025 25846045 35139005 47724025 56861299 64883225 104992855 129230225 175695025 230984281 284306495 460059601 524964275 625474289 1154921405 1421532475 2300298005 3127371445 5060655611 5774607025 11501490025 15636857225 25303278055 55667211721 126516390275 278336058605 1391680293025