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4114042302032 = 241335837551917
BaseRepresentation
bin111011110111100000000…
…001111010111001010000
3112120022001200101220020022
4323313200001322321100
51014401024312131112
612425544232203012
7603141542403515
oct73674001727120
915508050356208
104114042302032
111346834699063
125653b4539468
1323ac4c908620
1410319932930c
1572037dd1d72
hex3bde007ae50

4114042302032 has 40 divisors (see below), whose sum is σ = 8584362581256. Its totient is φ = 1898732330496.

The previous prime is 4114042302017. The next prime is 4114042302077. The reversal of 4114042302032 is 2302032404114.

4114042302032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 84532073536 + 4029510228496 = 290744^2 + 2007364^2 .

It is a super-2 number, since 2×41140423020322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 4114042301992 and 4114042302010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7178138 + ... + 7730054.

Almost surely, 24114042302032 is an apocalyptic number.

It is an amenable number.

4114042302032 is an abundant number, since it is smaller than the sum of its proper divisors (4470320279224).

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

4114042302032 is a wasteful number, since it uses less digits than its factorization.

4114042302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587775 (or 587769 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4114042302032 its reverse (2302032404114), we get a palindrome (6416074706146).

The spelling of 4114042302032 in words is "four trillion, one hundred fourteen billion, forty-two million, three hundred two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 35837 71674 143348 286696 465881 551917 573392 931762 1103834 1863524 2207668 3727048 4415336 7174921 7454096 8830672 14349842 28699684 57399368 114798736 19779049529 39558099058 79116198116 158232396232 257127643877 316464792464 514255287754 1028510575508 2057021151016 4114042302032