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4426111045344 = 253432808138183
BaseRepresentation
bin100000001101000100011…
…0001101100111011100000
3120200010120021210121102110
41000122020301230323200
51040004133411422334
613225154412315320
7634530105063552
oct100321061547340
916603507717373
104426111045344
11145711532988a
125b5987772b40
132614c3bba561
141143212614d2
157a1eed8eae9
hex40688c6cee0

4426111045344 has 96 divisors (see below), whose sum is σ = 11889474879744. Its totient is φ = 1440970352640.

The previous prime is 4426111045333. The next prime is 4426111045361. The reversal of 4426111045344 is 4435401116244.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115899277 + ... + 115937459.

It is an arithmetic number, because the mean of its divisors is an integer number (123848696664).

Almost surely, 24426111045344 is an apocalyptic number.

It is an amenable number.

4426111045344 is an abundant number, since it is smaller than the sum of its proper divisors (7463363834400).

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

4426111045344 is a wasteful number, since it uses less digits than its factorization.

4426111045344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66320 (or 66312 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 4426111045344 in words is "four trillion, four hundred twenty-six billion, one hundred eleven million, forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 28081 38183 56162 76366 84243 112324 114549 152732 168486 224648 229098 305464 336972 449296 458196 610928 673944 898592 916392 1207483 1221856 1347888 1641869 1832784 2414966 2695776 3283738 3622449 3665568 4829932 4925607 6567476 7244898 9659864 9851214 13134952 14489796 19319728 19702428 26269904 28979592 38639456 39404856 52539808 57959184 78809712 115918368 157619424 1072216823 2144433646 3216650469 4288867292 6433300938 8577734584 12866601876 17155469168 25733203752 34310938336 46105323389 51466407504 92210646778 102932815008 138315970167 184421293556 276631940334 368842587112 553263880668 737685174224 1106527761336 1475370348448 2213055522672 4426111045344