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34044441024 = 2631123700849
BaseRepresentation
bin11111101101001101…
…001111000111000000
310020212121121210110010
4133231031033013000
51024210334103044
623350110304520
72313436655046
oct375515170700
9106777553403
1034044441024
1113490221480
1267214b8140
133297276879
14190d64a396
15d43c2bbb9
hex7ed34f1c0

34044441024 has 112 divisors (see below), whose sum is σ = 102537158400. Its totient is φ = 9867939840.

The previous prime is 34044441019. The next prime is 34044441037. The reversal of 34044441024 is 42014444043.

It is a super-2 number, since 2×340444410242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34044440982 and 34044441000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 301849 + ... + 399000.

Almost surely, 234044441024 is an apocalyptic number.

It is an amenable number.

34044441024 is an abundant number, since it is smaller than the sum of its proper divisors (68492717376).

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

34044441024 is a wasteful number, since it uses less digits than its factorization.

34044441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700898 (or 700888 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 34044441024 its reverse (42014444043), we get a palindrome (76058885067).

The spelling of 34044441024 in words is "thirty-four billion, forty-four million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 1012 1056 1104 1472 1518 2024 2112 2208 3036 4048 4416 6072 8096 12144 16192 24288 48576 700849 1401698 2102547 2803396 4205094 5606792 7709339 8410188 11213584 15418678 16119527 16820376 22427168 23128017 30837356 32239054 33640752 44854336 46256034 48358581 61674712 64478108 67281504 92512068 96717162 123349424 128956216 134563008 177314797 185024136 193434324 246698848 257912432 354629594 370048272 386868648 493397696 515824864 531944391 709259188 740096544 773737296 1031649728 1063888782 1418518376 1480193088 1547474592 2127777564 2837036752 3094949184 4255555128 5674073504 8511110256 11348147008 17022220512 34044441024