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1020098094444 = 223211213157179641
BaseRepresentation
bin11101101100000101001…
…01011010010101101100
310121112001101112102000100
432312002211122111230
5113203130103010234
62100343202231100
7133461660510402
oct16660245322554
93545041472010
101020098094444
11363691864800
12145850955490
137526c09a810
1437531785472
151b805e0c399
hexed8295a56c

1020098094444 has 432 divisors, whose sum is σ = 3093753368160. Its totient is φ = 281500876800.

The previous prime is 1020098094443. The next prime is 1020098094473. The reversal of 1020098094444 is 4444908900201.

1020098094444 is a `hidden beast` number, since 10 + 20 + 0 + 98 + 0 + 94 + 444 = 666.

1020098094444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1020098094444.

It is not an unprimeable number, because it can be changed into a prime (1020098094443) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1591416364 + ... + 1591417004.

It is an arithmetic number, because the mean of its divisors is an integer number (7161466130).

Almost surely, 21020098094444 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 1020098094444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546876684080).

1020098094444 is an abundant number, since it is smaller than the sum of its proper divisors (2073655273716).

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

1020098094444 is a wasteful number, since it uses less digits than its factorization.

1020098094444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1020098094444 in words is "one trillion, twenty billion, ninety-eight million, ninety-four thousand, four hundred forty-four".