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14402093310081 = 32832152412
BaseRepresentation
bin1101000110010011111110…
…1001111110000010000001
31212222211022122102111100100
43101210333221332002001
53341430441341410311
650344121430113013
73014342204163321
oct321447751760201
955884278374310
1014402093310081
114652991236914
12174727baab769
1380615b17a0b9
1437b0ca659281
1519e97148ba56
hexd193fa7e081

14402093310081 has 27 divisors (see below), whose sum is σ = 21058063926627. Its totient is φ = 9485093694240.

The previous prime is 14402093310043. The next prime is 14402093310097. The reversal of 14402093310081 is 18001339020441.

The square root of 14402093310081 is 3795009.

It is a perfect power (a square), and thus also a powerful number.

14402093310081 is a `hidden beast` number, since 1 + 4 + 40 + 209 + 331 + 0 + 0 + 81 = 666.

14402093310081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11398665668481 + 3003427641600 = 3376191^2 + 1733040^2 .

It is not a de Polignac number, because 14402093310081 - 225 = 14402059755649 is a prime.

It is a super-2 number, since 2×144020933100812 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14402093110081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 944949621 + ... + 944964861.

Almost surely, 214402093310081 is an apocalyptic number.

14402093310081 is the 3795009-th square number.

14402093310081 is the 1897505-th centered octagonal number.

It is an amenable number.

14402093310081 is a deficient number, since it is larger than the sum of its proper divisors (6655970616546).

14402093310081 is an frugal number, since it uses more digits than its factorization.

14402093310081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30654 (or 15327 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 14402093310081 by its sum of digits (36), we get a square (518475359162916 = 227700542).

The spelling of 14402093310081 in words is "fourteen trillion, four hundred two billion, ninety-three million, three hundred ten thousand, eighty-one".

Divisors: 1 3 9 83 249 747 6889 15241 20667 45723 62001 137169 1265003 3795009 11385027 104995249 232288081 314985747 696864243 944957241 2090592729 19279910723 57839732169 173519196507 1600232590009 4800697770027 14402093310081