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14020120100431 = 417997153129147
BaseRepresentation
bin1100110000000101000001…
…0001110011111001001111
31211122022101021102221211101
43030001100101303321033
53314201201221203211
645452430530403531
72644630434364354
oct314012021637117
954568337387741
1014020120100431
114515999324965
1216a5239a305a7
137a912648c413
1436681269862b
15194a6748e5c1
hexcc050473e4f

14020120100431 has 32 divisors (see below), whose sum is σ = 14703911470080. Its totient is φ = 13356609177600.

The previous prime is 14020120100417. The next prime is 14020120100489. The reversal of 14020120100431 is 13400102102041.

It is a cyclic number.

It is not a de Polignac number, because 14020120100431 - 215 = 14020120067663 is a prime.

It is a super-3 number, since 3×140201201004313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14020120100399 and 14020120100408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14020120109431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480999600 + ... + 481028746.

It is an arithmetic number, because the mean of its divisors is an integer number (459497233440).

Almost surely, 214020120100431 is an apocalyptic number.

14020120100431 is a deficient number, since it is larger than the sum of its proper divisors (683791369649).

14020120100431 is a wasteful number, since it uses less digits than its factorization.

14020120100431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30895.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 14020120100431 its reverse (13400102102041), we get a palindrome (27420222202472).

The spelling of 14020120100431 in words is "fourteen trillion, twenty billion, one hundred twenty million, one hundred thousand, four hundred thirty-one".

Divisors: 1 41 79 97 1531 3239 3977 7663 29147 62771 120949 148507 314183 1195027 2302613 2827259 4958909 6088787 11732053 44624057 94407133 115917619 223353461 481014173 1829586337 3525300503 4328533529 9157491901 144537320623 177469874689 341954148791 14020120100431