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43942567108561 = 112113253332
BaseRepresentation
bin10011111110111001011010…
…00110100101111111010001
312202120212110001111112102021
421333130231012211333101
521224423334134433221
6233242534152051441
712153513530402512
oct1177345506457721
9182525401445367
1043942567108561
1113001a35609300
124b18444993b81
131b699c6730b64
14abcb8dc84a09
155130a8a09041
hex27f72d1a5fd1

43942567108561 has 27 divisors (see below), whose sum is σ = 48740867890897. Its totient is φ = 39586843640960.

The previous prime is 43942567108553. The next prime is 43942567108577. The reversal of 43942567108561 is 16580176524934.

The square root of 43942567108561 is 6628919.

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 269237492161 + 43673329616400 = 518881^2 + 6608580^2 .

It is not a de Polignac number, because 43942567108561 - 23 = 43942567108553 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 43942567108561.

It is not an unprimeable number, because it can be changed into a prime (43942567108501) 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, 8239743651 + ... + 8239748983.

It is a 1-persistent number, because it is pandigital, but 2⋅43942567108561 = 87885134217122 is not.

Almost surely, 243942567108561 is an apocalyptic number.

43942567108561 is the 6628919-th square number.

43942567108561 is the 3314460-th centered octagonal number.

It is an amenable number.

43942567108561 is a deficient number, since it is larger than the sum of its proper divisors (4798300782336).

43942567108561 is an frugal number, since it uses more digits than its factorization.

43942567108561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10914 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 43942567108561 in words is "forty-three trillion, nine hundred forty-two billion, five hundred sixty-seven million, one hundred eight thousand, five hundred sixty-one".

Divisors: 1 11 113 121 1243 5333 12769 13673 58663 140459 602629 645293 1545049 6628919 28440889 68097077 72918109 312849779 749067847 3213820457 3441347569 8239746317 35352025027 363161711641 388872275297 3994778828051 43942567108561