Search a number
-
+
42251547014161 = 6192105012
BaseRepresentation
bin10011001101101011101000…
…11100110111010000010001
312112121012121221212011212121
421212311310130313100101
521014222132013423121
6225510032010454241
711620400502636652
oct1146656434672021
9175535557764777
1042251547014161
111250a864880801
1248a4771734381
131a763c45612c4
14a60db2ddb529
154d40d6748141
hex266d74737411

42251547014161 has 9 divisors (see below), whose sum is σ = 42323945502843. Its totient is φ = 42179272191000.

The previous prime is 42251547014147. The next prime is 42251547014167. The reversal of 42251547014161 is 16141074515224.

The square root of 42251547014161 is 6500119.

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

42251547014161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12444533237761 + 29807013776400 = 3527681^2 + 5459580^2 .

It is not a de Polignac number, because 42251547014161 - 29 = 42251547013649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42251547014167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4023568411 + ... + 4023578911.

It is an arithmetic number, because the mean of its divisors is an integer number (4702660611427).

Almost surely, 242251547014161 is an apocalyptic number.

42251547014161 is the 6500119-th square number.

42251547014161 is the 3250060-th centered octagonal number.

It is an amenable number.

42251547014161 is a deficient number, since it is larger than the sum of its proper divisors (72398488682).

42251547014161 is an frugal number, since it uses more digits than its factorization.

42251547014161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22240 (or 11120 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 42251547014161 in words is "forty-two trillion, two hundred fifty-one billion, five hundred forty-seven million, fourteen thousand, one hundred sixty-one".

Divisors: 1 619 10501 383161 6500119 110271001 4023573661 68257749619 42251547014161