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1214999136 = 253313253157
BaseRepresentation
bin100100001101011…
…0110101001100000
310010200020100111000
41020122312221200
54442014433021
6320321352000
742052215351
oct11032665140
93120210430
101214999136
1157392091a
1229aa98600
13164946600
14b7515d28
15719eeb26
hex486b6a60

1214999136 has 288 divisors, whose sum is σ = 3934617120. Its totient is φ = 364455936.

The previous prime is 1214999131. The next prime is 1214999147. The reversal of 1214999136 is 6319994121.

1214999136 is a `hidden beast` number, since 1 + 21 + 499 + 9 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1214999091 and 1214999100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214999131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7738770 + ... + 7738926.

It is an arithmetic number, because the mean of its divisors is an integer number (13661865).

Almost surely, 21214999136 is an apocalyptic number.

1214999136 is a gapful number since it is divisible by the number (16) 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 1214999136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967308560).

1214999136 is an abundant number, since it is smaller than the sum of its proper divisors (2719617984).

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

1214999136 is a wasteful number, since it uses less digits than its factorization.

1214999136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 228 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 1214999136 is about 34856.8377223178. The cubic root of 1214999136 is about 1067.0677384123.

The spelling of 1214999136 in words is "one billion, two hundred fourteen million, nine hundred ninety-nine thousand, one hundred thirty-six".