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214044023130 = 235721741208907
BaseRepresentation
bin1100011101011000000…
…1001001100101011010
3202110111002120222110020
43013112001021211122
512001330232220010
6242155214131310
721315132114600
oct3072601114532
9673432528406
10214044023130
11828592a8693
1235596ab0b36
1317251aa2b32
14a507377870
15587b3a1470
hex31d604995a

214044023130 has 192 divisors, whose sum is σ = 648162974592. Its totient is φ = 44923146240.

The previous prime is 214044023129. The next prime is 214044023131. The reversal of 214044023130 is 31320440412.

214044023130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214044023129) and next prime (214044023131).

It is a self number, because there is not a number n which added to its sum of digits gives 214044023130.

It is not an unprimeable number, because it can be changed into a prime (214044023131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 920137 + ... + 1129043.

It is an arithmetic number, because the mean of its divisors is an integer number (3375848826).

Almost surely, 2214044023130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214044023130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324081487296).

214044023130 is an abundant number, since it is smaller than the sum of its proper divisors (434118951462).

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

214044023130 is a wasteful number, since it uses less digits than its factorization.

214044023130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208989 (or 208982 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 214044023130 its reverse (31320440412), we get a palindrome (245364463542).

The spelling of 214044023130 in words is "two hundred fourteen billion, forty-four million, twenty-three thousand, one hundred thirty".