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14124133412104 = 2323292379240829
BaseRepresentation
bin1100110110001000011111…
…1101000110110100001000
31212000020212010211122201011
43031202013331012310020
53322402211123141404
650012312020533304
72655302123061112
oct315420775066410
955006763748634
1014124133412104
114556014106471
121701427851234
137b5b915a15a1
1436b87c7363b2
15197603bcd604
hexcd887f46d08

14124133412104 has 96 divisors (see below), whose sum is σ = 28695568824000. Its totient is φ = 6504852904704.

The previous prime is 14124133412101. The next prime is 14124133412167. The reversal of 14124133412104 is 40121433142141.

It is a super-2 number, since 2×141241334121042 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14124133412101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58527562 + ... + 58768390.

It is an arithmetic number, because the mean of its divisors is an integer number (298912175250).

Almost surely, 214124133412104 is an apocalyptic number.

It is an amenable number.

14124133412104 is an abundant number, since it is smaller than the sum of its proper divisors (14571435411896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14124133412104 is a wasteful number, since it uses less digits than its factorization.

14124133412104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241295 (or 241262 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 14124133412104 its reverse (40121433142141), we get a palindrome (54245566554245).

The spelling of 14124133412104 in words is "fourteen trillion, one hundred twenty-four billion, one hundred thirty-three million, four hundred twelve thousand, one hundred four".

Divisors: 1 2 4 8 23 29 46 58 92 116 184 232 379 667 758 841 1334 1516 1682 2668 3032 3364 5336 6728 8717 10991 17434 19343 21982 34868 38686 43964 69736 77372 87928 154744 240829 252793 318739 481658 505586 637478 963316 1011172 1274956 1926632 2022344 2549912 5539067 6984041 7330997 11078134 13968082 14661994 22156268 27936164 29323988 44312536 55872328 58647976 91274191 160632943 182548382 202537189 321265886 365096764 405074378 642531772 730193528 810148756 1285063544 1620297512 2099306393 2646951539 4198612786 4658355347 5293903078 8397225572 9316710694 10587806156 16794451144 18633421388 21175612312 37266842776 60879885397 76761594631 121759770794 153523189262 243519541588 307046378524 487039083176 614092757048 1765516676513 3531033353026 7062066706052 14124133412104