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110014302311040 = 273537261686143
BaseRepresentation
bin11001000000111010110011…
…011010001101001010000000
3112102112021010212212110110210
4121000322303122031022000
5103404433242342423130
61025551512303554120
732113161653251431
oct3100726332151200
9472467125773423
10110014302311040
1132065892651166
12104096132bb940
1349503c5409cba
141d24a1362d488
15cabad015e5b0
hex640eb368d280

110014302311040 has 384 divisors, whose sum is σ = 366313124459520. Its totient is φ = 28076271943680.

The previous prime is 110014302311027. The next prime is 110014302311041. The reversal of 110014302311040 is 40113203410011.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 110014302310998 and 110014302311016.

It is not an unprimeable number, because it can be changed into a prime (110014302311041) 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 47 ways as a sum of consecutive naturals, for example, 159994209 + ... + 160680351.

It is an arithmetic number, because the mean of its divisors is an integer number (953940428280).

Almost surely, 2110014302311040 is an apocalyptic number.

110014302311040 is a gapful number since it is divisible by the number (10) 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 110014302311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183156562229760).

110014302311040 is an abundant number, since it is smaller than the sum of its proper divisors (256298822148480).

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

110014302311040 is an equidigital number, since it uses as much as digits as its factorization.

110014302311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686300 (or 686251 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 110014302311040 its reverse (40113203410011), we get a palindrome (150127505721051).

The spelling of 110014302311040 in words is "one hundred ten trillion, fourteen billion, three hundred two million, three hundred eleven thousand, forty".