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4014434000424 = 2331934616532879
BaseRepresentation
bin111010011010101110111…
…010011001111000101000
3112012202221210210220011110
4322122232322121320220
51011233030101003144
612312112220430320
7563014262663031
oct72325672317050
915182853726143
104014434000424
11130856a378841
1254a0359a83a0
132317372c19a3
14dc42a30ba88
156e65826b0b9
hex3a6aee99e28

4014434000424 has 128 divisors (see below), whose sum is σ = 10128967833600. Its totient is φ = 1325828751360.

The previous prime is 4014434000419. The next prime is 4014434000471. The reversal of 4014434000424 is 4240004344104.

It is a super-2 number, since 2×40144340004242 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014434000391 and 4014434000400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1394383417 + ... + 1394386295.

It is an arithmetic number, because the mean of its divisors is an integer number (79132561200).

Almost surely, 24014434000424 is an apocalyptic number.

It is an amenable number.

4014434000424 is an abundant number, since it is smaller than the sum of its proper divisors (6114533833176).

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

4014434000424 is a wasteful number, since it uses less digits than its factorization.

4014434000424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4191 counting only the distinct ones).

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

Adding to 4014434000424 its reverse (4240004344104), we get a palindrome (8254438344528).

The spelling of 4014434000424 in words is "four trillion, fourteen billion, four hundred thirty-four million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 193 386 461 579 653 772 922 1158 1306 1383 1544 1844 1959 2316 2612 2766 2879 3688 3918 4632 5224 5532 5758 7836 8637 11064 11516 15672 17274 23032 34548 69096 88973 126029 177946 252058 266919 301033 355892 378087 504116 533838 555647 602066 711784 756174 903099 1008232 1067676 1111294 1204132 1327219 1512348 1666941 1806198 1879987 2135352 2222588 2408264 2654438 3024696 3333882 3612396 3759974 3981657 4445176 5308876 5639961 6667764 7224792 7519948 7963314 10617752 11279922 13335528 15039896 15926628 22559844 31853256 45119688 58099369 116198738 174298107 232397476 256153267 348596214 362837491 464794952 512306534 697192428 725674982 768459801 866674007 1024613068 1088512473 1394384856 1451349964 1536919602 1733348014 2049226136 2177024946 2600022021 2902699928 3073839204 3466696028 4354049892 5200044042 6147678408 6933392056 8708099784 10400088084 20800176168 167268083351 334536166702 501804250053 669072333404 1003608500106 1338144666808 2007217000212 4014434000424