Search a number
-
+
21144105340 = 22543239102871
BaseRepresentation
bin10011101100010010…
…010111000101111100
32000120120100211201121
4103230102113011330
5321300342332330
613414035320324
71345653633661
oct235422270574
960516324647
1021144105340
118a70329326
1241211500a4
131cbc72b947
141048225a68
1583b41517a
hex4ec49717c

21144105340 has 48 divisors (see below), whose sum is σ = 45625789440. Its totient is φ = 8226308160.

The previous prime is 21144105329. The next prime is 21144105397. The reversal of 21144105340 is 4350144112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154105 + ... + 256975.

It is an arithmetic number, because the mean of its divisors is an integer number (950537280).

Almost surely, 221144105340 is an apocalyptic number.

21144105340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21144105340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22812894720).

21144105340 is an abundant number, since it is smaller than the sum of its proper divisors (24481684100).

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

21144105340 is a wasteful number, since it uses less digits than its factorization.

21144105340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103162 (or 103160 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 21144105340 its reverse (4350144112), we get a palindrome (25494249452).

The spelling of 21144105340 in words is "twenty-one billion, one hundred forty-four million, one hundred five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 239 430 478 860 956 1195 2390 4780 10277 20554 41108 51385 102770 102871 205540 205742 411484 514355 1028710 2057420 4423453 8846906 17693812 22117265 24586169 44234530 49172338 88469060 98344676 122930845 245861690 491723380 1057205267 2114410534 4228821068 5286026335 10572052670 21144105340