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44247543201 = 32701172
BaseRepresentation
bin101001001101010110…
…111110110110100001
311020012200120002101100
4221031112332312201
51211104332340301
632154350225013
73124331624451
oct511526766641
9136180502340
1044247543201
1117846648124
1286aa4b5169
134232066334
1421da75bd61
15123e858286
hexa4d5beda1

44247543201 has 9 divisors (see below), whose sum is σ = 63914029491. Its totient is φ = 29497941432.

The previous prime is 44247543163. The next prime is 44247543209. The reversal of 44247543201 is 10234574244.

The square root of 44247543201 is 210351.

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

44247543201 is a `hidden beast` number, since 44 + 247 + 54 + 320 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17523140625 + 26724402576 = 132375^2 + 163476^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 44247543201 - 211 = 44247541153 is a prime.

It is a super-2 number, since 2×442475432012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44247543209) 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, 595995 + ... + 666111.

Almost surely, 244247543201 is an apocalyptic number.

44247543201 is the 210351-st square number.

44247543201 is the 105176-th centered octagonal number.

It is an amenable number.

44247543201 is a deficient number, since it is larger than the sum of its proper divisors (19666486290).

44247543201 is an frugal number, since it uses more digits than its factorization.

44247543201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140240 (or 70120 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Multiplying 44247543201 by its sum of digits (36), we get a square (1592911555236 = 12621062).

The spelling of 44247543201 in words is "forty-four billion, two hundred forty-seven million, five hundred forty-three thousand, two hundred one".

Divisors: 1 3 9 70117 210351 631053 4916393689 14749181067 44247543201