Search a number
-
+
20443411434402 = 232111018111260509
BaseRepresentation
bin1001010010111110110100…
…10001101100101110100010
32200101101000111022020101100
410221133122101230232202
510134421101311400102
6111251323520015230
74206662536023405
oct451373221545642
980341014266340
1020443411434402
116572002883650
1223620a1161516
13b53a616a1b68
14509675ad3d3c
15256ba79cba1c
hex1297da46cba2

20443411434402 has 96 divisors (see below), whose sum is σ = 48859424752320. Its totient is φ = 6126068880000.

The previous prime is 20443411434389. The next prime is 20443411434409.

20443411434402 is a `hidden beast` number, since 2 + 0 + 44 + 34 + 1 + 143 + 440 + 2 = 666.

20443411434402 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (20443411434409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15588124 + ... + 16848632.

It is an arithmetic number, because the mean of its divisors is an integer number (508952341170).

Almost surely, 220443411434402 is an apocalyptic number.

20443411434402 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 20443411434402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24429712376160).

20443411434402 is an abundant number, since it is smaller than the sum of its proper divisors (28416013317918).

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

20443411434402 is a wasteful number, since it uses less digits than its factorization.

20443411434402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261440 (or 1261437 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 2044341 and 1434402, that added together give a palindrome (3478743).

The spelling of 20443411434402 in words is "twenty trillion, four hundred forty-three billion, four hundred eleven million, four hundred thirty-four thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 606 811 909 1111 1622 1818 2222 2433 3333 4866 6666 7299 8921 9999 14598 17842 19998 26763 53526 80289 81911 160578 163822 245733 491466 737199 901021 1260509 1474398 1802042 2521018 2703063 3781527 5406126 7563054 8109189 11344581 13865599 16218378 22689162 27731198 41596797 83193594 124790391 127311409 249580782 254622818 381934227 763868454 1022272799 1145802681 1400425499 2044545598 2291605362 2800850998 3066818397 4201276497 6133636794 8402552994 9200455191 11245000789 12603829491 18400910382 22490001578 25207658982 33735002367 67470004734 101205007101 103249552699 202410014202 206499105398 309748658097 619497316194 929245974291 1135745079689 1858491948582 2271490159378 3407235239067 6814470478134 10221705717201 20443411434402