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131433468453 = 357677971447
BaseRepresentation
bin111101001101000001…
…0111001001000100101
3110120020211020222200000
41322122002321020211
54123133431442303
6140214003211513
712332021022450
oct1723202711045
9416224228600
10131433468453
1150816848201
1221580976b99
13c517b70c11
14650ba10497
153643b19da3
hex1e9a0b9225

131433468453 has 96 divisors (see below), whose sum is σ = 228808280064. Its totient is φ = 73839978432.

The previous prime is 131433468451. The next prime is 131433468461. The reversal of 131433468453 is 354864334131.

131433468453 is a `hidden beast` number, since 1 + 3 + 143 + 3 + 468 + 45 + 3 = 666.

It is not a de Polignac number, because 131433468453 - 21 = 131433468451 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131433468399 and 131433468408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131433468451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90830976 + ... + 90832422.

It is an arithmetic number, because the mean of its divisors is an integer number (2383419584).

Almost surely, 2131433468453 is an apocalyptic number.

It is an amenable number.

131433468453 is a deficient number, since it is larger than the sum of its proper divisors (97374811611).

131433468453 is an equidigital number, since it uses as much as digits as its factorization.

131433468453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2321 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 131433468453 in words is "one hundred thirty-one billion, four hundred thirty-three million, four hundred sixty-eight thousand, four hundred fifty-three".

Divisors: 1 3 7 9 21 27 63 67 81 189 201 243 469 567 603 797 1407 1447 1701 1809 2391 4221 4341 5427 5579 7173 10129 12663 13023 16281 16737 21519 30387 37989 39069 50211 53399 64557 91161 96949 113967 117207 150633 160197 193671 273483 290847 351621 373793 451899 480591 678643 820449 872541 1121379 1153259 1355697 1441773 2035929 2461347 2617623 3364137 3459777 4325319 6107787 7852869 8072813 10092411 10379331 12975957 18323361 23558607 24218439 30277233 31137993 54970083 72655317 77268353 90831699 93413979 164910249 217965951 231805059 280241937 540878471 653897853 695415177 1622635413 1961693559 2086245531 4867906239 6258736593 14603718717 18776209779 43811156151 131433468453