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44158685144 = 23721071052801
BaseRepresentation
bin101001001000000100…
…000000111111011000
311012222111100122001012
4221020010000333120
51210414110411034
632141453513052
73122202426200
oct511004007730
9135874318035
1044158685144
1117800476812
1286847a2788
1342198240c2
1421cca2b400
151236b54cce
hexa48100fd8

44158685144 has 48 divisors (see below), whose sum is σ = 97215736680. Its totient is φ = 18748262400.

The previous prime is 44158685143. The next prime is 44158685161.

It is a happy number.

44158685144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44158685092 and 44158685101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44158685143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 484457 + ... + 568344.

Almost surely, 244158685144 is an apocalyptic number.

It is an amenable number.

44158685144 is an abundant number, since it is smaller than the sum of its proper divisors (53057051536).

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

44158685144 is a wasteful number, since it uses less digits than its factorization.

44158685144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052928 (or 1052917 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 50.

The spelling of 44158685144 in words is "forty-four billion, one hundred fifty-eight million, six hundred eighty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 107 196 214 392 428 749 856 1498 2996 5243 5992 10486 20972 41944 1052801 2105602 4211204 7369607 8422408 14739214 29478428 51587249 58956856 103174498 112649707 206348996 225299414 412697992 450598828 788547949 901197656 1577095898 3154191796 5519835643 6308383592 11039671286 22079342572 44158685144