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1350415044 = 22331119292063
BaseRepresentation
bin101000001111101…
…1011001011000100
310111010001012012000
41100133123023010
510231201240134
6342000025300
745315224046
oct12037331304
93433035160
101350415044
116333018a0
12318302230
13186a0a274
14cb4c5a96
157d84ce99
hex507db2c4

1350415044 has 192 divisors, whose sum is σ = 4161024000. Its totient is φ = 374129280.

The previous prime is 1350415021. The next prime is 1350415051. The reversal of 1350415044 is 4405140531.

It is a happy number.

1350415044 is a `hidden beast` number, since 1 + 3 + 504 + 150 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1350414999 and 1350415017.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 653557 + ... + 655619.

It is an arithmetic number, because the mean of its divisors is an integer number (21672000).

Almost surely, 21350415044 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 1350415044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080512000).

1350415044 is an abundant number, since it is smaller than the sum of its proper divisors (2810608956).

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

1350415044 is a wasteful number, since it uses less digits than its factorization.

1350415044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1350415044 is about 36747.9937411554. The cubic root of 1350415044 is about 1105.3226998514.

Adding to 1350415044 its reverse (4405140531), we get a palindrome (5755555575).

The spelling of 1350415044 in words is "one billion, three hundred fifty million, four hundred fifteen thousand, forty-four".