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14000059390752 = 253437982917191
BaseRepresentation
bin1100101110111010010010…
…0100010001101100100000
31211120101121012200022120000
43023232210210101230200
53313334110201001002
645435312152020000
72643320344226331
oct313564444215440
954511535608500
1014000059390752
1145084345aa856
1216a137b691600
137a727a3497c6
1436586c2cc288
1519429123061c
hexcbba4911b20

14000059390752 has 240 divisors, whose sum is σ = 41334625886400. Its totient is φ = 4648488445440.

The previous prime is 14000059390739. The next prime is 14000059390753. The reversal of 14000059390752 is 25709395000041.

It is a happy number.

14000059390752 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 0 + 0 + 593 + 9 + 0 + 7 + 52 = 666.

It is a super-2 number, since 2×140000593907522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14000059390698 and 14000059390707.

It is not an unprimeable number, because it can be changed into a prime (14000059390753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 814374477 + ... + 814391667.

It is an arithmetic number, because the mean of its divisors is an integer number (172227607860).

Almost surely, 214000059390752 is an apocalyptic number.

14000059390752 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 14000059390752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20667312943200).

14000059390752 is an abundant number, since it is smaller than the sum of its proper divisors (27334566495648).

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

14000059390752 is a wasteful number, since it uses less digits than its factorization.

14000059390752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18421 (or 18404 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 14000059390752 in words is "fourteen trillion, fifty-nine million, three hundred ninety thousand, seven hundred fifty-two".