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44205092013481 = 72532179212
BaseRepresentation
bin10100000110100010011001…
…10011101000010110101001
312210111222001212102111001221
422003101030303220112221
521243224012023412411
6234003312223542041
712211466250311200
oct1203211463502651
9183458055374057
1044205092013481
11130a3302020a43
124b5b2aba5a921
131b886a3619499
14acb775cb0237
15519d211cb071
hex28344cce85a9

44205092013481 has 27 divisors (see below), whose sum is σ = 52413711980133. Its totient is φ = 37173097328640.

The previous prime is 44205092013479. The next prime is 44205092013491. The reversal of 44205092013481 is 18431029050244.

The square root of 44205092013481 is 6648691.

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 8031074227225 + 36174017786256 = 2833915^2 + 6014484^2 .

It is not a de Polignac number, because 44205092013481 - 21 = 44205092013479 is a prime.

It is a super-2 number, since 2×442050920134812 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44205092013421) 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, 2466655401 + ... + 2466673321.

Almost surely, 244205092013481 is an apocalyptic number.

44205092013481 is the 6648691-st square number.

44205092013481 is the 3324346-th centered octagonal number.

It is an amenable number.

44205092013481 is a deficient number, since it is larger than the sum of its proper divisors (8208619966652).

44205092013481 is an frugal number, since it uses more digits than its factorization.

44205092013481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35962 (or 17981 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 44205092013481 in words is "forty-four trillion, two hundred five billion, ninety-two million, thirteen thousand, four hundred eighty-one".

Divisors: 1 7 49 53 371 2597 2809 17921 19663 125447 137641 878129 949813 6648691 46540837 50340089 321162241 352380623 2248135687 2466664361 15736949809 17021598773 119151191411 834058339877 902144734969 6315013144783 44205092013481