Search a number
-
+
11433233214 = 2331330753051
BaseRepresentation
bin10101010010111100…
…10100101100111110
31002111210122102111000
422221132110230332
5141403401430324
65130301511130
7553216610304
oct125136245476
932453572430
1011433233214
114937842377
122270b724a6
131102903770
147a6646274
1546db199c9
hex2a9794b3e

11433233214 has 64 divisors (see below), whose sum is σ = 27451226880. Its totient is φ = 3506392800.

The previous prime is 11433233197. The next prime is 11433233219. The reversal of 11433233214 is 41233233411.

It is a happy number.

11433233214 is a `hidden beast` number, since 1 + 1 + 4 + 332 + 3 + 321 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11433233219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188989 + ... + 242039.

It is an arithmetic number, because the mean of its divisors is an integer number (428925420).

Almost surely, 211433233214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11433233214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13725613440).

11433233214 is an abundant number, since it is smaller than the sum of its proper divisors (16017993666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11433233214 is a wasteful number, since it uses less digits than its factorization.

11433233214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53382 (or 53376 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 11433233214 its reverse (41233233411), we get a palindrome (52666466625).

The spelling of 11433233214 in words is "eleven billion, four hundred thirty-three million, two hundred thirty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 307 351 614 702 921 1842 2763 3991 5526 7982 8289 11973 16578 23946 35919 53051 71838 106102 107757 159153 215514 318306 477459 689663 954918 1379326 1432377 2068989 2864754 4137978 6206967 12413934 16286657 18620901 32573314 37241802 48859971 97719942 146579913 211726541 293159826 423453082 439739739 635179623 879479478 1270359246 1905538869 3811077738 5716616607 11433233214