Search a number
-
+
214410605032 = 231341340714759
BaseRepresentation
bin1100011110101111011…
…1100011000111101000
3202111102122101021021201
43013223313203013220
512003103103330112
6242255431213544
721330203033521
oct3075367430750
9674378337251
10214410605032
1182a27219038
12356798172b4
13172aca136c0
14a53dd1d848
15589d663257
hex31ebde31e8

214410605032 has 64 divisors (see below), whose sum is σ = 443664345600. Its totient is φ = 96510236160.

The previous prime is 214410604987. The next prime is 214410605033. The reversal of 214410605032 is 230506014412.

It is not an unprimeable number, because it can be changed into a prime (214410605033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14520069 + ... + 14534827.

It is an arithmetic number, because the mean of its divisors is an integer number (6932255400).

Almost surely, 2214410605032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214410605032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221832172800).

214410605032 is an abundant number, since it is smaller than the sum of its proper divisors (229253740568).

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

214410605032 is a wasteful number, since it uses less digits than its factorization.

214410605032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18226 (or 18222 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 214410605032 its reverse (230506014412), we get a palindrome (444916619444).

The spelling of 214410605032 in words is "two hundred fourteen billion, four hundred ten million, six hundred five thousand, thirty-two".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 3407 4264 6814 13628 14759 27256 29518 44291 59036 88582 118072 139687 177164 191867 279374 354328 383734 558748 605119 767468 1117496 1210238 1534936 1815931 2420476 3631862 4840952 7263724 7866547 14527448 15733094 31466188 50283913 62932376 100567826 201135652 402271304 653690869 1307381738 2061640433 2614763476 4123280866 5229526952 8246561732 16493123464 26801325629 53602651258 107205302516 214410605032