Search a number
-
+
1042046931249 = 34101211232
BaseRepresentation
bin11110010100111101101…
…01100101000100110001
310200121201001010211210000
433022132311211010301
5114033103003244444
62114413150100213
7135166615525302
oct17123665450461
93617631124700
101042046931249
11371a25365755
12149b574aa669
1377359447b0c
14386148087a9
151c18ccd1469
hexf29ed65131

1042046931249 has 45 divisors (see below), whose sum is σ = 1573604111739. Its totient is φ = 687207272400.

The previous prime is 1042046931221. The next prime is 1042046931257. The reversal of 1042046931249 is 9421396402401.

The square root of 1042046931249 is 1020807.

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

1042046931249 is a `hidden beast` number, since 10 + 420 + 4 + 6 + 93 + 124 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1001186351649 + 40860579600 = 1000593^2 + 202140^2 .

It is not a de Polignac number, because 1042046931249 - 25 = 1042046931217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1042046931449) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 927913002 + ... + 927914124.

Almost surely, 21042046931249 is an apocalyptic number.

1042046931249 is the 1020807-th square number.

1042046931249 is the 510404-th centered octagonal number.

It is an amenable number.

1042046931249 is a deficient number, since it is larger than the sum of its proper divisors (531557180490).

1042046931249 is an frugal number, since it uses more digits than its factorization.

1042046931249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1042046931249 in words is "one trillion, forty-two billion, forty-six million, nine hundred thirty-one thousand, two hundred forty-nine".

Divisors: 1 3 9 27 81 101 303 909 1123 2727 3369 8181 10107 10201 30321 30603 90963 91809 113423 275427 340269 826281 1020807 1261129 3062421 3783387 9187263 11350161 11455723 34050483 34367169 102151449 103101507 127374029 309304521 382122087 927913563 1146366261 3439098783 10317296349 12864776929 38594330787 115782992361 347348977083 1042046931249