Search a number
-
+
114271168671 = 32115919563631
BaseRepresentation
bin110101001101100010…
…1111010100010011111
3101220221202100211022100
41222123011322202133
53333011404344141
6124255003420143
711153513623152
oct1523305724237
9356852324270
10114271168671
114450a106380
121a191224653
13aa1136334a
145760563c99
152e8c0840b6
hex1a9b17a89f

114271168671 has 24 divisors (see below), whose sum is σ = 183115595520. Its totient is φ = 68081432400.

The previous prime is 114271168657. The next prime is 114271168681. The reversal of 114271168671 is 176861172411.

114271168671 is a `hidden beast` number, since 1 + 1 + 427 + 1 + 168 + 67 + 1 = 666.

It is not a de Polignac number, because 114271168671 - 25 = 114271168639 is a prime.

It is a super-2 number, since 2×1142711686712 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114271168621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9775975 + ... + 9787656.

It is an arithmetic number, because the mean of its divisors is an integer number (7629816480).

Almost surely, 2114271168671 is an apocalyptic number.

114271168671 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114271168671 is a deficient number, since it is larger than the sum of its proper divisors (68844426849).

114271168671 is a wasteful number, since it uses less digits than its factorization.

114271168671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19563707 (or 19563704 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The spelling of 114271168671 in words is "one hundred fourteen billion, two hundred seventy-one million, one hundred sixty-eight thousand, six hundred seventy-one".

Divisors: 1 3 9 11 33 59 99 177 531 649 1947 5841 19563631 58690893 176072679 215199941 645599823 1154254229 1936799469 3462762687 10388288061 12696796519 38090389557 114271168671