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1142468112769 = 257241592
BaseRepresentation
bin10000101000000000011…
…001111111000110000001
311001012220120022102110021
4100220000121333012001
5122204233314102034
62232502000333441
7145353265505254
oct20500031770601
94035816272407
101142468112769
11400577513755
12165502314281
13839712a3c99
143d41d78509b
151eab8eb56b4
hex10a0067f181

1142468112769 has 9 divisors (see below), whose sum is σ = 1147206648387. Its totient is φ = 1137749082624.

The previous prime is 1142468112767. The next prime is 1142468112839. The reversal of 1142468112769 is 9672118642411.

It is a happy number.

The square root of 1142468112769 is 1068863.

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

It can be written as a sum of positive squares in only one way, i.e., 1124755697025 + 17712415744 = 1060545^2 + 133088^2 .

It is not a de Polignac number, because 1142468112769 - 21 = 1142468112767 is a prime.

It is a super-3 number, since 3×11424681127693 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1142468112763) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 274695712 + ... + 274699870.

Almost surely, 21142468112769 is an apocalyptic number.

1142468112769 is the 1068863-rd square number.

1142468112769 is the 534432-nd centered octagonal number.

It is an amenable number.

1142468112769 is a deficient number, since it is larger than the sum of its proper divisors (4738535618).

1142468112769 is an frugal number, since it uses more digits than its factorization.

1142468112769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8832 (or 4416 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 52.

The spelling of 1142468112769 in words is "one trillion, one hundred forty-two billion, four hundred sixty-eight million, one hundred twelve thousand, seven hundred sixty-nine".

Divisors: 1 257 4159 66049 1068863 17297281 274697791 4445401217 1142468112769