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4274312288481 = 32683210092
BaseRepresentation
bin111110001100110000110…
…111011001100011100001
3120010121202011122210000100
4332030300313121203201
51030012242421212411
613031331510213013
7620544304663314
oct76146067314341
916117664583010
104274312288481
1113a87a8946014
12590482654169
132500b1a94b31
1410ac40a3c97b
15762b8400456
hex3e330dd98e1

4274312288481 has 27 divisors (see below), whose sum is σ = 6189193396659. Its totient is φ = 2842549440192.

The previous prime is 4274312288473. The next prime is 4274312288513. The reversal of 4274312288481 is 1848822134724.

The square root of 4274312288481 is 2067441.

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

4274312288481 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 312 + 288 + 48 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1311920542881 + 2962391745600 = 1145391^2 + 1721160^2 .

It is not a de Polignac number, because 4274312288481 - 23 = 4274312288473 is a prime.

It is a super-2 number, since 2×42743122884812 (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 (4274312288581) 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, 4236186105 + ... + 4236187113.

Almost surely, 24274312288481 is an apocalyptic number.

4274312288481 is the 2067441-st square number.

4274312288481 is the 1033721-st centered octagonal number.

It is an amenable number.

4274312288481 is a deficient number, since it is larger than the sum of its proper divisors (1914881108178).

4274312288481 is an frugal number, since it uses more digits than its factorization.

4274312288481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390 (or 1695 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The spelling of 4274312288481 in words is "four trillion, two hundred seventy-four billion, three hundred twelve million, two hundred eighty-eight thousand, four hundred eighty-one".

Divisors: 1 3 9 683 1009 2049 3027 6147 9081 466489 689147 1018081 1399467 2067441 3054243 4198401 6202323 9162729 470687401 695349323 1412062203 2086047969 4236186609 6258143907 474923587609 1424770762827 4274312288481