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3143752401969 = 369726772
BaseRepresentation
bin101101101111110110001…
…111101100010000110001
3102010112120111202221000000
4231233312033230100301
5403001401103330334
610404115300220213
7443062054340604
oct55576617542061
912115514687000
103143752401969
111002292300a73
1242934439a669
1319a5ba93229a
14ac230a2633b
1556b99acd299
hex2dbf63ec431

3143752401969 has 63 divisors (see below), whose sum is σ = 4769611047057. Its totient is φ = 2071164536064.

The previous prime is 3143752401901. The next prime is 3143752402019. The reversal of 3143752401969 is 9691042573413.

The square root of 3143752401969 is 1773063.

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

3143752401969 is a `hidden beast` number, since 3 + 1 + 43 + 7 + 524 + 0 + 19 + 69 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1174052430369 + 1969699971600 = 1083537^2 + 1403460^2 .

It is not a de Polignac number, because 3143752401969 - 221 = 3143750304817 is a prime.

It is a super-2 number, since 2×31437524019692 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3143752401469) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4643651659 + ... + 4643652335.

Almost surely, 23143752401969 is an apocalyptic number.

3143752401969 is the 1773063-rd square number.

3143752401969 is the 886532-nd centered octagonal number.

It is an amenable number.

3143752401969 is a deficient number, since it is larger than the sum of its proper divisors (1625858645088).

3143752401969 is an frugal number, since it uses more digits than its factorization.

3143752401969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3143752401969 in words is "three trillion, one hundred forty-three billion, seven hundred fifty-two million, four hundred one thousand, nine hundred sixty-nine".

Divisors: 1 3 9 27 81 97 243 291 677 729 873 2031 2619 6093 7857 9409 18279 23571 28227 54837 65669 70713 84681 164511 197007 254043 458329 493533 591021 762129 1374987 1773063 2286387 4124961 5319189 6369893 6859161 12374883 15957567 19109679 37124649 44457913 47872701 57329037 111373947 133373739 171987111 334121841 400121217 515961333 1200363651 1547883999 3601090953 4312417561 4643651997 10803272859 12937252683 32409818577 38811758049 116435274147 349305822441 1047917467323 3143752401969