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20114420134432 = 251385356684609
BaseRepresentation
bin1001001001011010000001…
…10111011111001000100000
32122012220211112010120120111
410210231000313133020200
510114023313023300212
6110440234222421104
74144135040066431
oct444550067371040
978186745116514
1020114420134432
116455528869608
12230a386731794
13b2ba214732b0
144d77864bb488
1524d350042ea7
hex124b40ddf220

20114420134432 has 48 divisors (see below), whose sum is σ = 42696435421080. Its totient is φ = 9272694915072.

The previous prime is 20114420134421. The next prime is 20114420134469. The reversal of 20114420134432 is 23443102441102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2092663132816 + 18021757001616 = 1446604^2 + 4245204^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20114420134394 and 20114420134403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27987457 + ... + 28697152.

Almost surely, 220114420134432 is an apocalyptic number.

It is an amenable number.

20114420134432 is an abundant number, since it is smaller than the sum of its proper divisors (22582015286648).

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

20114420134432 is a wasteful number, since it uses less digits than its factorization.

20114420134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56685485 (or 56685477 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 20114420134432 its reverse (23443102441102), we get a palindrome (43557522575534).

The spelling of 20114420134432 in words is "twenty trillion, one hundred fourteen billion, four hundred twenty million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 853 1706 3412 6824 11089 13648 22178 27296 44356 88712 177424 354848 56684609 113369218 226738436 453476872 736899917 906953744 1473799834 1813907488 2947599668 5895199336 11790398672 23580797344 48351971477 96703942954 193407885908 386815771816 628575629201 773631543632 1257151258402 1547263087264 2514302516804 5028605033608 10057210067216 20114420134432