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14133480134148 = 2232392596670393
BaseRepresentation
bin1100110110101011010100…
…0100000001011000000100
31212001010222112100022221200
43031222311010001120010
53323030331403243043
650020455305342500
72656052545644444
oct315526504013004
955033875308850
1014133480134148
114559a80093041
1217031b5a97a30
137b6a20b2aa4b
1436c0c7c04124
1519799e5477d3
hexcdab5101604

14133480134148 has 18 divisors (see below), whose sum is σ = 35726297005854. Its totient is φ = 4711160044704.

The previous prime is 14133480134077. The next prime is 14133480134161. The reversal of 14133480134148 is 84143108433141.

14133480134148 is a `hidden beast` number, since 1 + 4 + 1 + 33 + 480 + 134 + 1 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7183729341504 + 6949750792644 = 2680248^2 + 2636238^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 196298335161 + ... + 196298335232.

It is an arithmetic number, because the mean of its divisors is an integer number (1984794278103).

Almost surely, 214133480134148 is an apocalyptic number.

14133480134148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14133480134148 is an abundant number, since it is smaller than the sum of its proper divisors (21592816871706).

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

14133480134148 is a wasteful number, since it uses less digits than its factorization.

14133480134148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392596670403 (or 392596670398 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

Adding to 14133480134148 its reverse (84143108433141), we get a palindrome (98276588567289).

The spelling of 14133480134148 in words is "fourteen trillion, one hundred thirty-three billion, four hundred eighty million, one hundred thirty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 392596670393 785193340786 1177790011179 1570386681572 2355580022358 3533370033537 4711160044716 7066740067074 14133480134148