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20440205130 = 2351961738053
BaseRepresentation
bin10011000010010101…
…001100011101001010
31221202111212000011110
4103002111030131022
5313330143031010
613220132311150
71322345606532
oct230225143512
957674760143
1020440205130
118739a65714
123b654724b6
131c09955247
14dbc9544c2
157e9722120
hex4c254c74a

20440205130 has 128 divisors (see below), whose sum is σ = 53210522880. Its totient is φ = 5008988160.

The previous prime is 20440205113. The next prime is 20440205131. The reversal of 20440205130 is 3150204402.

It is a junction number, because it is equal to n+sod(n) for n = 20440205097 and 20440205106.

It is not an unprimeable number, because it can be changed into a prime (20440205131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2534184 + ... + 2542236.

It is an arithmetic number, because the mean of its divisors is an integer number (415707210).

Almost surely, 220440205130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20440205130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26605261440).

20440205130 is an abundant number, since it is smaller than the sum of its proper divisors (32770317750).

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

20440205130 is a wasteful number, since it uses less digits than its factorization.

20440205130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8216.

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 20440205130 its reverse (3150204402), we get a palindrome (23590409532).

The spelling of 20440205130 in words is "twenty billion, four hundred forty million, two hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 61 73 95 114 122 146 183 190 219 285 305 365 366 438 570 610 730 915 1095 1159 1387 1830 2190 2318 2774 3477 4161 4453 5795 6935 6954 8053 8322 8906 11590 13359 13870 16106 17385 20805 22265 24159 26718 34770 40265 41610 44530 48318 66795 80530 84607 120795 133590 153007 169214 241590 253821 306014 423035 459021 491233 507642 587869 765035 846070 918042 982466 1175738 1269105 1473699 1530070 1763607 2295105 2456165 2538210 2939345 2947398 3527214 4590210 4912330 5878690 7368495 8818035 9333427 11169511 14736990 17636070 18666854 22339022 28000281 33508533 35860009 46667135 55847555 56000562 67017066 71720018 93334270 107580027 111695110 140001405 167542665 179300045 215160054 280002810 335085330 358600090 537900135 681340171 1075800270 1362680342 2044020513 3406700855 4088041026 6813401710 10220102565 20440205130