Search a number
-
+
1214229909024 = 253411109390703
BaseRepresentation
bin10001101010110101101…
…111100000111000100000
311022002010202210101110000
4101222311233200320200
5124343220324042044
62325450504540000
7153503514635166
oct21526557407040
94262122711400
101214229909024
11428a52146390
121773ab181600
138a669723612
1442aaa36b236
15218b90d4d69
hex11ab5be0e20

1214229909024 has 240 divisors, whose sum is σ = 3931404301440. Its totient is φ = 364571850240.

The previous prime is 1214229909019. The next prime is 1214229909041. The reversal of 1214229909024 is 4209099224121.

It is a happy number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2912457 + ... + 3303159.

It is an arithmetic number, because the mean of its divisors is an integer number (16380851256).

Almost surely, 21214229909024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214229909024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965702150720).

1214229909024 is an abundant number, since it is smaller than the sum of its proper divisors (2717174392416).

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

1214229909024 is a wasteful number, since it uses less digits than its factorization.

1214229909024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390845 (or 390828 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1214229909024 in words is "one trillion, two hundred fourteen billion, two hundred twenty-nine million, nine hundred nine thousand, twenty-four".