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4241342431424 = 26771390734129
BaseRepresentation
bin111101101110000011101…
…101011000000011000000
3120000110122110001111122102
4331232003231120003000
51023442232130301144
613004240143525532
7615266263554140
oct75560355300300
916013573044572
104241342431424
11139581a25a46a
12586000bb98a8
13249c59340587
141093d3dd6920
15754d8bd8b4e
hex3db83b580c0

4241342431424 has 112 divisors (see below), whose sum is σ = 9757016686080. Its totient is φ = 1791605329920.

The previous prime is 4241342431303. The next prime is 4241342431429.

4241342431424 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (4241342431429) 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, 124256792 + ... + 124290920.

Almost surely, 24241342431424 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 4241342431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878508343040).

4241342431424 is an abundant number, since it is smaller than the sum of its proper divisors (5515674254656).

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

4241342431424 is a wasteful number, since it uses less digits than its factorization.

4241342431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38126 (or 38116 counting only the distinct ones).

The product of its digits is 294912, while the sum is 38.

The spelling of 4241342431424 in words is "four trillion, two hundred forty-one billion, three hundred forty-two million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 568 994 1136 1988 2272 3907 3976 4544 7814 7952 15628 15904 27349 31256 31808 34129 54698 62512 68258 109396 125024 136516 218792 238903 250048 273032 277397 437584 477806 546064 554794 875168 955612 1092128 1109588 1750336 1911224 1941779 2184256 2219176 2423159 3822448 3883558 4438352 4846318 7644896 7767116 8876704 9692636 15289792 15534232 16962113 17753408 19385272 31068464 33924226 38770544 62136928 67848452 77541088 124273856 133342003 135696904 155082176 266684006 271393808 533368012 542787616 933394021 1066736024 1085575232 1866788042 2133472048 3733576084 4266944096 7467152168 8533888192 9467282213 14934304336 18934564426 29868608672 37869128852 59737217344 66270975491 75738257704 132541950982 151476515408 265083901964 302953030816 530167803928 605906061632 1060335607856 2120671215712 4241342431424