Search a number
-
+
214411410213 = 371113462115451
BaseRepresentation
bin1100011110101111101…
…0100111101100100101
3202111102200220011210020
43013223322213230211
512003103310111323
6242255500345353
721330212626140
oct3075372475445
9674380804706
10214411410213
1182a27718a80
1235679b45259
13172acc36040
14a54008d057
15589d771ae3
hex31ebea7b25

214411410213 has 64 divisors (see below), whose sum is σ = 383949318144. Its totient is φ = 102785760000.

The previous prime is 214411410179. The next prime is 214411410233. The reversal of 214411410213 is 312014114412.

It is a happy number.

It is not a de Polignac number, because 214411410213 - 210 = 214411409189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214411410233) 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 63 ways as a sum of consecutive naturals, for example, 13869138 + ... + 13884588.

It is an arithmetic number, because the mean of its divisors is an integer number (5999208096).

Almost surely, 2214411410213 is an apocalyptic number.

It is an amenable number.

214411410213 is a deficient number, since it is larger than the sum of its proper divisors (169537907931).

214411410213 is a wasteful number, since it uses less digits than its factorization.

214411410213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20106.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 214411410213 its reverse (312014114412), we get a palindrome (526425524625).

The spelling of 214411410213 in words is "two hundred fourteen billion, four hundred eleven million, four hundred ten thousand, two hundred thirteen".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 4621 13863 15451 32347 46353 50831 60073 97041 108157 152493 169961 180219 200863 324471 355817 420511 509883 602589 660803 1067451 1189727 1261533 1406041 1982409 2209493 3569181 4218123 4625621 6628479 13876863 15466451 46399353 71399071 214197213 499793497 785389781 928187923 1499380491 2356169343 2784563769 5497728467 6497315461 10210067153 16493185401 19491946383 30630201459 71470470071 214411410213