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14022003412431 = 3271793191404919
BaseRepresentation
bin1100110000001100000010…
…0010000100110111001111
31211122111020112020010012200
43030003000202010313033
53314214030333144211
645453341444332543
72645025213311040
oct314030042046717
954574215203180
1014022003412431
114516775412063
1216a56846a4153
137a93666cc211
1436695085a8c7
15194b279a2b56
hexcc0c0884dcf

14022003412431 has 48 divisors (see below), whose sum is σ = 24511695436800. Its totient is φ = 7540430932224.

The previous prime is 14022003412427. The next prime is 14022003412451. The reversal of 14022003412431 is 13421430022041.

14022003412431 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 200 + 3 + 412 + 43 + 1 = 666.

It is not a de Polignac number, because 14022003412431 - 22 = 14022003412427 is a prime.

It is a super-2 number, since 2×140220034124312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14022003412395 and 14022003412404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14022003412451) 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, 9278190 + ... + 10683108.

It is an arithmetic number, because the mean of its divisors is an integer number (510660321600).

Almost surely, 214022003412431 is an apocalyptic number.

14022003412431 is a deficient number, since it is larger than the sum of its proper divisors (10489692024369).

14022003412431 is a wasteful number, since it uses less digits than its factorization.

14022003412431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414268 (or 1414265 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14022003412431 its reverse (13421430022041), we get a palindrome (27443433434472).

The spelling of 14022003412431 in words is "fourteen trillion, twenty-two billion, three million, four hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 9319 27957 65233 83871 158423 195699 475269 587097 1108961 1404919 1425807 3326883 4214757 9834433 9980649 12644271 23883623 29503299 71650869 88509897 167185361 214952607 501556083 1504668249 13092440161 39277320483 91647081127 117831961449 222571482737 274941243381 667714448211 824823730143 1558000379159 2003143344633 4674001137477 14022003412431