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1114133344344 = 233215474074227
BaseRepresentation
bin10000001101100111100…
…001011011000001011000
310221111202212110001100200
4100031213201123001120
5121223221114004334
62211454212102200
7143331156113046
oct20154741330130
93844685401320
101114133344344
1139a557255869
1215bb15004960
13810a6c03c17
143bcd2571396
151deab673799
hex1036785b058

1114133344344 has 24 divisors (see below), whose sum is σ = 3017444474460. Its totient is φ = 371377781424.

The previous prime is 1114133344343. The next prime is 1114133344403. The reversal of 1114133344344 is 4434433314111.

1114133344344 is a `hidden beast` number, since 1 + 1 + 141 + 3 + 33 + 443 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1114133344299 and 1114133344308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114133344343) by changing a digit.

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, 7737037042 + ... + 7737037185.

Almost surely, 21114133344344 is an apocalyptic number.

It is an amenable number.

1114133344344 is an abundant number, since it is smaller than the sum of its proper divisors (1903311130116).

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

1114133344344 is a wasteful number, since it uses less digits than its factorization.

1114133344344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15474074239 (or 15474074232 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 1114133344344 its reverse (4434433314111), we get a palindrome (5548566658455).

The spelling of 1114133344344 in words is "one trillion, one hundred fourteen billion, one hundred thirty-three million, three hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 15474074227 30948148454 46422222681 61896296908 92844445362 123792593816 139266668043 185688890724 278533336086 371377781448 557066672172 1114133344344