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278023143841 = 3127322332
BaseRepresentation
bin1000000101110110111…
…10001000000110100001
3222120121220121001122121
410002323132020012201
514023342411100331
6331415544504241
726041446505402
oct4027336100641
9876556531577
10278023143841
11a79aa8a8a63
1245a7147b081
13202a9a21001
14d6564a79a9
157373102c11
hex40bb7881a1

278023143841 has 27 divisors (see below), whose sum is σ = 292525654617. Its totient is φ = 264230052480.

The previous prime is 278023143829. The next prime is 278023143899. The reversal of 278023143841 is 148341320872.

The square root of 278023143841 is 527279.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17024769441 + 260998374400 = 130479^2 + 510880^2 .

It is not a de Polignac number, because 278023143841 - 211 = 278023141793 is a prime.

It is a super-2 number, since 2×2780231438412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (278023140841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1193232261 + ... + 1193232493.

Almost surely, 2278023143841 is an apocalyptic number.

278023143841 is the 527279-th square number.

278023143841 is the 263640-th centered octagonal number.

It is an amenable number.

278023143841 is a deficient number, since it is larger than the sum of its proper divisors (14502510776).

278023143841 is an frugal number, since it uses more digits than its factorization.

278023143841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 278023143841 in words is "two hundred seventy-eight billion, twenty-three million, one hundred forty-three thousand, eight hundred forty-one".

Divisors: 1 31 73 233 961 2263 5329 7223 17009 54289 70153 165199 223913 527279 1241657 1682959 3963097 5121169 16345649 38491367 52171729 122856007 289306081 1193232377 3808536217 8968488511 278023143841