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432131121131234 = 272177313725935649
BaseRepresentation
bin110001001000001010101110…
…1111110001010111011100010
32002200001022221211100100010212
41202100111131332022323202
5423120014014002144414
64131022144012054122
7160010305011140300
oct14220253576127342
92080038854310125
10432131121131234
111157658632750a8
1240571aa6164342
1315717a36464b45
14789d3877cd270
1534e5ac73a583e
hex189055df8aee2

432131121131234 has 96 divisors (see below), whose sum is σ = 815223252308400. Its totient is φ = 170662373425152.

The previous prime is 432131121131191. The next prime is 432131121131239.

It is a happy number.

432131121131234 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 288762898650625 + 143368222480609 = 16993025^2 + 11973647^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 432131121131234.

It is not an unprimeable number, because it can be changed into a prime (432131121131239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3693842 + ... + 29629490.

Almost surely, 2432131121131234 is an apocalyptic number.

432131121131234 is a deficient number, since it is larger than the sum of its proper divisors (383092131177166).

432131121131234 is a wasteful number, since it uses less digits than its factorization.

432131121131234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25935892 (or 25935885 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The spelling of 432131121131234 in words is "four hundred thirty-two trillion, one hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-one thousand, two hundred thirty-four".

Divisors: 1 2 7 14 17 34 49 73 98 119 137 146 238 274 511 833 959 1022 1241 1666 1918 2329 2482 3577 4658 6713 7154 8687 10001 13426 16303 17374 20002 32606 60809 70007 114121 121618 140014 170017 228242 340034 490049 980098 1190119 2380238 8330833 16661666 25935649 51871298 181549543 363099086 440906033 881812066 1270846801 1893302377 2541693602 3086342231 3553183913 3786604754 6172684462 7106367826 13253116639 21604395617 24872287391 26506233278 32186140409 43208791234 49744574782 60404126521 64372280818 92771816473 120808253042 174106011737 185543632946 225302982863 259382425649 348212023474 422828885647 450605965726 518764851298 845657771294 1577120880041 1815676979543 2959802199529 3154241760082 3631353959086 4409501236033 5919604399058 8819002472066 12709738856801 25419477713602 30866508652231 61733017304462 216065560565617 432131121131234