Search a number
-
+
42451245369 = 361325872
BaseRepresentation
bin100111100010010010…
…101001100100111001
311001120111111201000000
4213202102221210321
51143420004322434
631300221303213
73031660426521
oct474222514471
9131514451000
1042451245369
1117004691a65
128288a04b09
134006b71400
1420a9d6a681
151186cd1b99
hex9e24a9939

42451245369 has 63 divisors (see below), whose sum is σ = 69037957983. Its totient is φ = 26079339312.

The previous prime is 42451245313. The next prime is 42451245371. The reversal of 42451245369 is 96354215424.

The square root of 42451245369 is 206037.

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

42451245369 is a `hidden beast` number, since 4 + 2 + 45 + 1 + 245 + 369 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6279770025 + 36171475344 = 79245^2 + 190188^2 .

It is not a de Polignac number, because 42451245369 - 217 = 42451114297 is a prime.

It is a super-2 number, since 2×424512453692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42451245379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 72318694 + ... + 72319280.

Almost surely, 242451245369 is an apocalyptic number.

42451245369 is the 206037-th square number.

42451245369 is the 103019-th centered octagonal number.

It is an amenable number.

42451245369 is a deficient number, since it is larger than the sum of its proper divisors (26586712614).

42451245369 is an frugal number, since it uses more digits than its factorization.

42451245369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 603 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 42451245369 in words is "forty-two billion, four hundred fifty-one million, two hundred forty-five thousand, three hundred sixty-nine".

Divisors: 1 3 9 13 27 39 81 117 169 243 351 507 587 729 1053 1521 1761 3159 4563 5283 7631 9477 13689 15849 22893 41067 47547 68679 99203 123201 142641 206037 297609 344569 427923 618111 892827 1033707 1854333 2678481 3101121 4479397 5562999 8035443 9303363 13438191 24106329 27910089 40314573 58232161 72318987 83730267 120943719 174696483 251190801 362831157 524089449 1088493471 1572268347 3265480413 4716805041 14150415123 42451245369