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14114141123031 = 32232711116122543
BaseRepresentation
bin1100110101100011010001…
…0111100011000111010111
31211222022001202120202222200
43031120310113203013113
53322221230111414111
650003540311255543
72654466401033025
oct315306427430727
954868052522880
1014114141123031
114551856788824
1216bb4b937a5b3
137b4c5b383ac1
1436b1b161d715
1519721b845256
hexcd6345e31d7

14114141123031 has 48 divisors (see below), whose sum is σ = 21354848366592. Its totient is φ = 8965909180800.

The previous prime is 14114141123011. The next prime is 14114141123039. The reversal of 14114141123031 is 13032114141141.

14114141123031 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 414 + 11 + 230 + 3 + 1 = 666.

It is not a de Polignac number, because 14114141123031 - 29 = 14114141122519 is a prime.

It is a super-2 number, since 2×141141411230312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14114141122986 and 14114141123004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14114141123039) 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, 626087346 + ... + 626109888.

It is an arithmetic number, because the mean of its divisors is an integer number (444892674304).

Almost surely, 214114141123031 is an apocalyptic number.

14114141123031 is a deficient number, since it is larger than the sum of its proper divisors (7240707243561).

14114141123031 is a wasteful number, since it uses less digits than its factorization.

14114141123031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34004 (or 34001 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 14114141123031 its reverse (13032114141141), we get a palindrome (27146255264172).

The spelling of 14114141123031 in words is "fourteen trillion, one hundred fourteen billion, one hundred forty-one million, one hundred twenty-three thousand, thirty-one".

Divisors: 1 3 9 23 69 207 271 813 2439 6233 11161 18699 22543 33483 56097 67629 100449 202887 256703 518489 770109 1555467 2310327 3024631 4666401 6109153 9073893 18327459 27221679 54982377 69566513 140510519 208699539 251602423 421531557 626098617 754807269 1264594671 2264421807 5786855729 17360567187 52081701561 68184256633 204552769899 613658309697 1568237902559 4704713707677 14114141123031