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942144011328 = 2631319101239823
BaseRepresentation
bin11011011010111000010…
…10001011110001000000
310100001211122011200100210
431231130022023301000
5110414002331330303
62000452011514120
7125032130651142
oct15553412136100
93301748150323
10942144011328
11333619807323
12132716158940
136aac7a98b10
1433858618c92
1519792371203
hexdb5c28bc40

942144011328 has 448 divisors, whose sum is σ = 2869197004800. Its totient is φ = 270447206400.

The previous prime is 942144011321. The next prime is 942144011359. The reversal of 942144011328 is 823110441249.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (942144011321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1144767525 + ... + 1144768347.

It is an arithmetic number, because the mean of its divisors is an integer number (6404457600).

Almost surely, 2942144011328 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 942144011328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434598502400).

942144011328 is an abundant number, since it is smaller than the sum of its proper divisors (1927052993472).

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

942144011328 is a wasteful number, since it uses less digits than its factorization.

942144011328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 942144011328 in words is "nine hundred forty-two billion, one hundred forty-four million, eleven thousand, three hundred twenty-eight".