Search a number
-
+
114929656275625 = 5457127512
BaseRepresentation
bin11010001000011100100101…
…010101100010001010101001
3120001221011112100112110110021
4122020130211111202022221
5110031001414001310000
61044233542154120441
733131252010503332
oct3210344525421251
9501834470473407
10114929656275625
1133690436837454
1210a82179420121
134c18a87951479
1420548a7199289
15d448b657911a
hex6887255622a9

114929656275625 has 45 divisors (see below), whose sum is σ = 144059879511009. Its totient is φ = 91660488750000.

The previous prime is 114929656275541. The next prime is 114929656275631. The reversal of 114929656275625 is 526572656929411.

The square root of 114929656275625 is 10720525.

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

It can be written as a sum of positive squares in 2 ways, for example, as 9010485052009 + 105919171223616 = 3001747^2 + 10291704^2 .

It is not a de Polignac number, because 114929656275625 - 211 = 114929656273577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 153035494000 + ... + 153035494750.

Almost surely, 2114929656275625 is an apocalyptic number.

114929656275625 is the 10720525-th square number.

114929656275625 is the 5360263-rd centered octagonal number.

It is an amenable number.

114929656275625 is a deficient number, since it is larger than the sum of its proper divisors (29130223235384).

114929656275625 is an frugal number, since it uses more digits than its factorization.

114929656275625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 1327 counting only the distinct ones).

The product of its digits is 489888000, while the sum is 70.

The spelling of 114929656275625 in words is "one hundred fourteen trillion, nine hundred twenty-nine billion, six hundred fifty-six million, two hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 571 625 751 2855 3755 14275 18775 71375 93875 326041 356875 428821 469375 564001 1630205 2144105 2820005 8151025 10720525 14100025 40755125 53602625 70500125 203775625 244856791 268013125 322044571 352500625 1224283955 1610222855 6121419775 8051114275 30607098875 40255571375 153035494375 183887450041 201277856875 919437250205 4597186251025 22985931255125 114929656275625