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14011199059932 = 22341794715591723
BaseRepresentation
bin1100101111100011110010…
…0010101111011111011100
31211121110100112221010220000
43023320330202233133130
53314024413424404212
645444353405454300
72644163400654054
oct313707442573734
954543315833800
1014011199059932
114512130664118
1216a356a271390
137a8334196a29
14366207958564
151946e41ad1dc
hexcbe3c8af7dc

14011199059932 has 240 divisors, whose sum is σ = 38871035723520. Its totient is φ = 4385665202688.

The previous prime is 14011199059927. The next prime is 14011199059933. The reversal of 14011199059932 is 23995099111041.

14011199059932 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 1 + 19 + 9 + 0 + 599 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14011199059933) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8131861623 + ... + 8131863345.

It is an arithmetic number, because the mean of its divisors is an integer number (161962648848).

Almost surely, 214011199059932 is an apocalyptic number.

14011199059932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14011199059932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19435517861760).

14011199059932 is an abundant number, since it is smaller than the sum of its proper divisors (24859836663588).

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

14011199059932 is a wasteful number, since it uses less digits than its factorization.

14011199059932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 54.

The spelling of 14011199059932 in words is "fourteen trillion, eleven billion, one hundred ninety-nine million, fifty-nine thousand, nine hundred thirty-two".