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5341434113344 = 2673383635309
BaseRepresentation
bin100110110111010011001…
…0010000110110101000000
3200220122011201122012022211
41031232212102012311000
51200003224113111334
615205453154311504
71060622500561000
oct115564622066500
920818151565284
105341434113344
11177a32034043a
12723257588594
132c99061091b4
14146753728000
1593e22749a64
hex4dba6486d40

5341434113344 has 112 divisors (see below), whose sum is σ = 12393119232000. Its totient is φ = 2283205467648.

The previous prime is 5341434113341. The next prime is 5341434113363. The reversal of 5341434113344 is 4433114341435.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 5341434113297 and 5341434113306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5341434113341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8089962 + ... + 8725270.

Almost surely, 25341434113344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5341434113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196559616000).

5341434113344 is an abundant number, since it is smaller than the sum of its proper divisors (7051685118656).

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

5341434113344 is an equidigital number, since it uses as much as digits as its factorization.

5341434113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635725 (or 635701 counting only the distinct ones).

The product of its digits is 414720, while the sum is 40.

Adding to 5341434113344 its reverse (4433114341435), we get a palindrome (9774548454779).

The spelling of 5341434113344 in words is "five trillion, three hundred forty-one billion, four hundred thirty-four million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 383 392 448 686 766 784 1372 1532 1568 2681 2744 3064 3136 5362 5488 6128 10724 10976 12256 18767 21448 21952 24512 37534 42896 75068 85792 131369 150136 171584 262738 300272 525476 600544 635309 1050952 1201088 1270618 2101904 2541236 4203808 4447163 5082472 8407616 8894326 10164944 17788652 20329888 31130141 35577304 40659776 62260282 71154608 124520564 142309216 217910987 243323347 249041128 284618432 435821974 486646694 498082256 871643948 973293388 996164512 1703263429 1743287896 1946586776 1992329024 3406526858 3486575792 3893173552 6813053716 6973151584 7786347104 11922844003 13626107432 13946303168 15572694208 23845688006 27252214864 47691376012 54504429728 83459908021 95382752024 109008859456 166919816042 190765504048 333839632084 381531008096 667679264168 763062016192 1335358528336 2670717056672 5341434113344