Search a number
-
+
214432042340 = 22543124876107
BaseRepresentation
bin1100011110110100100…
…1010100110101100100
3202111111010201101202002
43013231021110311210
512003124100323330
6242301514504432
721330553200125
oct3075511246544
9674433641662
10214432042340
1182a3833021a
1235684a35118
13172b42ab0b9
14a542b0004c
1558a0499e45
hex31ed254d64

214432042340 has 24 divisors (see below), whose sum is σ = 451352103552. Its totient is φ = 85573804640.

The previous prime is 214432042339. The next prime is 214432042343. The reversal of 214432042340 is 43240234412.

214432042340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2144320423402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214432042343) 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 7 ways as a sum of consecutive naturals, for example, 12429434 + ... + 12446673.

It is an arithmetic number, because the mean of its divisors is an integer number (18806337648).

Almost surely, 2214432042340 is an apocalyptic number.

214432042340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214432042340 is an abundant number, since it is smaller than the sum of its proper divisors (236920061212).

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

214432042340 is a wasteful number, since it uses less digits than its factorization.

214432042340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24876547 (or 24876545 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 214432042340 its reverse (43240234412), we get a palindrome (257672276752).

The spelling of 214432042340 in words is "two hundred fourteen billion, four hundred thirty-two million, forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 431 862 1724 2155 4310 8620 24876107 49752214 99504428 124380535 248761070 497522140 10721602117 21443204234 42886408468 53608010585 107216021170 214432042340