Search a number
-
+
1242901671025 = 52725326012
BaseRepresentation
bin10010000101100010101…
…101100110110001110001
311101211010221202210211011
4102011202231212301301
5130330430311433100
62350551532150521
7155540155614100
oct22054255466161
94354127683734
101242901671025
1143a125655563
12180a71308441
1390288874771
144422a224037
15224e62e1bba
hex12162b66c71

1242901671025 has 81 divisors (see below), whose sum is σ = 1830332794563. Its totient is φ = 834803424000.

The previous prime is 1242901671013. The next prime is 1242901671061. The reversal of 1242901671025 is 5201761092421.

The square root of 1242901671025 is 1114855.

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 125889426481 + 1117012244544 = 354809^2 + 1056888^2 .

It is not a de Polignac number, because 1242901671025 - 215 = 1242901638257 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2068055725 + ... + 2068056325.

Almost surely, 21242901671025 is an apocalyptic number.

1242901671025 is the 1114855-th square number.

1242901671025 is the 557428-th centered octagonal number.

It is an amenable number.

1242901671025 is a deficient number, since it is larger than the sum of its proper divisors (587431123538).

1242901671025 is an frugal number, since it uses more digits than its factorization.

1242901671025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 1242901671025 in words is "one trillion, two hundred forty-two billion, nine hundred one million, six hundred seventy-one thousand, twenty-five".

Divisors: 1 5 7 25 35 49 53 175 245 265 371 601 1225 1325 1855 2597 2809 3005 4207 9275 12985 14045 15025 19663 21035 29449 31853 64925 70225 98315 105175 137641 147245 159265 222971 361201 491575 688205 736225 796325 1114855 1560797 1688209 1806005 2528407 3441025 5574275 7803985 8441045 9030025 11817463 12642035 17698849 19143653 39019925 42205225 59087315 63210175 82722241 88494245 95718265 134005571 295436575 413611205 442471225 478591325 670027855 938038997 1014613609 2068056025 3350139275 4690194985 5073068045 7102295263 23450974925 25365340225 35511476315 49716066841 177557381575 248580334205 1242901671025