Search a number
-
+
214135531412 = 221173137587829
BaseRepresentation
bin1100011101101101111…
…0001110011110010100
3202110201110210002012212
43013123132032132110
512002022144001122
6242212243332552
721320322661565
oct3073336163624
9673643702185
10214135531412
11828a5a1a170
1235601681158
1317267a3244a
14a51559816c
155884429ce2
hex31db78e794

214135531412 has 96 divisors (see below), whose sum is σ = 418644616320. Its totient is φ = 95023134720.

The previous prime is 214135531411. The next prime is 214135531417.

214135531412 is nontrivially palindromic in base 10.

214135531412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214135531411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258305414 + ... + 258306242.

It is an arithmetic number, because the mean of its divisors is an integer number (4360881420).

Almost surely, 2214135531412 is an apocalyptic number.

214135531412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214135531412 is a deficient number, since it is larger than the sum of its proper divisors (204509084908).

214135531412 is a wasteful number, since it uses less digits than its factorization.

214135531412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1639 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

It can be divided in two parts, 214135 and 531412, that added together give a palindrome (745547).

The spelling of 214135531412 in words is "two hundred fourteen billion, one hundred thirty-five million, five hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 4 11 22 44 73 137 146 274 292 548 587 803 829 1174 1507 1606 1658 2348 3014 3212 3316 6028 6457 9119 10001 12914 18238 20002 25828 36476 40004 42851 60517 80419 85702 110011 113573 121034 160838 171404 220022 227146 242068 321676 440044 454292 471361 486623 665687 884609 942722 973246 1249303 1331374 1769218 1885444 1946492 2498606 2662748 3538436 4997212 5352853 5870587 8290829 10705706 11741174 16581658 21411412 23482348 33163316 35523479 64576457 66667351 71046958 91199119 129152914 133334702 142093916 182398238 258305828 266669404 364796476 390758269 733340861 781516538 1466681722 1563033076 2933363444 4866716623 9733433246 19466866492 53533882853 107067765706 214135531412