Search a number
-
+
20440433442 = 231121313915581
BaseRepresentation
bin10011000010010110…
…000100001100100010
31221202112021121100110
4103002112010030202
5313330222332232
613220141232150
71322350550262
oct230226041442
957675247313
1020440433442
11873a101200
123b65562656
131c09a05140
14dbc9b37a2
157e9769acc
hex4c2584322

20440433442 has 96 divisors (see below), whose sum is σ = 48742989120. Its totient is φ = 5676105600.

The previous prime is 20440433441. The next prime is 20440433471. The reversal of 20440433442 is 24433404402.

It is a super-3 number, since 3×204404334423 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (20440433441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1304092 + ... + 1319672.

It is an arithmetic number, because the mean of its divisors is an integer number (507739470).

Almost surely, 220440433442 is an apocalyptic number.

20440433442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20440433442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24371494560).

20440433442 is an abundant number, since it is smaller than the sum of its proper divisors (28302555678).

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

20440433442 is a wasteful number, since it uses less digits than its factorization.

20440433442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15760 (or 15749 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 20440433442 its reverse (24433404402), we get a palindrome (44873837844).

The spelling of 20440433442 in words is "twenty billion, four hundred forty million, four hundred thirty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 139 143 242 278 286 363 417 429 726 834 858 1529 1573 1807 3058 3146 3614 4587 4719 5421 9174 9438 10842 15581 16819 19877 31162 33638 39754 46743 50457 59631 93486 100914 119262 171391 202553 218647 342782 405106 437294 514173 607659 655941 1028346 1215318 1311882 1885301 2165759 2228083 3770602 4331518 4456166 5655903 6497277 6684249 11311806 12994554 13368498 23823349 24508913 28154867 47646698 49017826 56309734 71470047 73526739 84464601 142940094 147053478 168929202 262056839 309703537 524113678 619407074 786170517 929110611 1572341034 1858221222 3406738907 6813477814 10220216721 20440433442