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434232010023 = 37192940279319
BaseRepresentation
bin1100101000110100011…
…11101010010100100111
31112111211101010122201220
412110122033222110213
524103301343310043
6531252230551423
743241450120340
oct6243217522447
91474741118656
10434232010023
1115817a716179
12701a7508573
1331c42708c86
14170346b70c7
15b466d26483
hex651a3ea527

434232010023 has 64 divisors (see below), whose sum is σ = 720786432000. Its totient is φ = 226886292864.

The previous prime is 434232009979. The next prime is 434232010031. The reversal of 434232010023 is 320010232434.

It is not a de Polignac number, because 434232010023 - 28 = 434232009767 is a prime.

It is a super-2 number, since 2×4342320100232 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434232009975 and 434232010002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434232018023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46591758 + ... + 46601076.

It is an arithmetic number, because the mean of its divisors is an integer number (11262288000).

Almost surely, 2434232010023 is an apocalyptic number.

434232010023 is a deficient number, since it is larger than the sum of its proper divisors (286554421977).

434232010023 is a wasteful number, since it uses less digits than its factorization.

434232010023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13404.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 434232010023 its reverse (320010232434), we get a palindrome (754242242457).

The spelling of 434232010023 in words is "four hundred thirty-four billion, two hundred thirty-two million, ten thousand, twenty-three".

Divisors: 1 3 7 19 21 29 57 87 133 203 399 551 609 1653 3857 4027 9319 11571 12081 27957 28189 65233 76513 84567 116783 177061 195699 229539 270251 350349 531183 535591 810753 817481 1239427 1606773 1891757 2218877 2452443 3718281 5134769 5675271 6656631 15404307 15532139 35943383 37527613 46596417 107830149 112582839 262693291 713024647 788079873 1088300777 2139073941 3264902331 4991172529 7618105439 14973517587 20677714763 22854316317 62033144289 144744003341 434232010023