Search a number
-
+
2071380114441 = 32112436132
BaseRepresentation
bin11110001001000111111…
…000000011110000001001
321100000121001010100221100
4132021013320003300021
5232414141302130231
64223325012332013
7302436505316001
oct36110770036011
97300531110840
102071380114441
1172951608a300
12295545014009
1312043a8b7191
14723808bd001
1538d348561e6
hex1e247e03c09

2071380114441 has 27 divisors (see below), whose sum is σ = 3288795535207. Its totient is φ = 1255353102960.

The previous prime is 2071380114403. The next prime is 2071380114451. The reversal of 2071380114441 is 1444110831702.

The square root of 2071380114441 is 1439229.

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

2071380114441 is a `hidden beast` number, since 2 + 0 + 71 + 38 + 0 + 114 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1572102207225 + 499277907216 = 1253835^2 + 706596^2 .

It is not a de Polignac number, because 2071380114441 - 225 = 2071346560009 is a prime.

It is a super-2 number, since 2×20713801144412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2071380114396 and 2071380114405.

It is not an unprimeable number, because it can be changed into a prime (2071380114451) 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, 47472751 + ... + 47516363.

Almost surely, 22071380114441 is an apocalyptic number.

2071380114441 is the 1439229-th square number.

2071380114441 is the 719615-th centered octagonal number.

It is an amenable number.

2071380114441 is a deficient number, since it is larger than the sum of its proper divisors (1217415420766).

2071380114441 is an frugal number, since it uses more digits than its factorization.

2071380114441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87254 (or 43627 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 2071380114441 by its sum of digits (36), we get a square (74569684119876 = 86353742).

The spelling of 2071380114441 in words is "two trillion, seventy-one billion, three hundred eighty million, one hundred fourteen thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 43613 130839 392517 479743 1439229 4317687 5277173 15831519 47494557 1902093769 5706281307 17118843921 20923031459 62769094377 188307283131 230153346049 690460038147 2071380114441