Search a number
-
+
1144530420525 = 335229471244021
BaseRepresentation
bin10000101001111011010…
…101000100001100101101
311001102020021220111212000
4100221323111010030231
5122222444241424100
62233442351002513
7145455350025312
oct20517325041455
94042207814760
101144530420525
11401435648028
12165998b09439
1383c0c62582b
143d57761cd09
151eb8a084900
hex10a7b54432d

1144530420525 has 96 divisors (see below), whose sum is σ = 2221325683200. Its totient is φ = 576827193600.

The previous prime is 1144530420497. The next prime is 1144530420541. The reversal of 1144530420525 is 5250240354411.

1144530420525 is a `hidden beast` number, since 1 + 1 + 44 + 53 + 0 + 42 + 0 + 525 = 666.

It is not a de Polignac number, because 1144530420525 - 25 = 1144530420493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1144530420525.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 298015 + ... + 1542035.

It is an arithmetic number, because the mean of its divisors is an integer number (23138809200).

Almost surely, 21144530420525 is an apocalyptic number.

1144530420525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1144530420525 is a deficient number, since it is larger than the sum of its proper divisors (1076795262675).

1144530420525 is a wasteful number, since it uses less digits than its factorization.

1144530420525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244116 (or 1244105 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 1144530420525 its reverse (5250240354411), we get a palindrome (6394770774936).

The spelling of 1144530420525 in words is "one trillion, one hundred forty-four billion, five hundred thirty million, four hundred twenty thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 47 75 87 135 141 145 225 235 261 423 435 675 705 725 783 1175 1269 1305 1363 2115 2175 3525 3915 4089 6345 6525 6815 10575 12267 19575 20445 31725 34075 36801 61335 102225 184005 306675 920025 1244021 3732063 6220105 11196189 18660315 31100525 33588567 36076609 55980945 58468987 93301575 108229827 167942835 175406961 180383045 279904725 292344935 324689481 526220883 541149135 839714175 877034805 901915225 974068443 1461724675 1578662649 1623447405 1695600623 2631104415 2705745675 4385174025 4870342215 5086801869 7893313245 8117237025 8478003115 13155522075 15260405607 24351711075 25434009345 39466566225 42390015575 45781216821 76302028035 127170046725 228906084105 381510140175 1144530420525