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1021402736640 = 2113251113174797
BaseRepresentation
bin11101101110100000101…
…10001110100000000000
310121122102022110002122200
432313100112032200000
5113213313100033030
62101120445233200
7133536212004066
oct16672026164000
93548368402580
101021402736640
113641a12427a0
12145b55862800
137541946c750
1437616b54036
151b880717d60
hexedd058e800

1021402736640 has 2304 divisors, whose sum is σ = 4543574031360. Its totient is φ = 208373022720.

The previous prime is 1021402736639. The next prime is 1021402736647. The reversal of 1021402736640 is 466372041201.

1021402736640 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 0 + 2 + 7 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1021402736595 and 1021402736604.

It is not an unprimeable number, because it can be changed into a prime (1021402736647) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10529925072 + ... + 10529925168.

It is an arithmetic number, because the mean of its divisors is an integer number (1972037340).

Almost surely, 21021402736640 is an apocalyptic number.

1021402736640 is a gapful number since it is divisible by the number (10) 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 1021402736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271787015680).

1021402736640 is an abundant number, since it is smaller than the sum of its proper divisors (3522171294720).

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

1021402736640 is a wasteful number, since it uses less digits than its factorization.

1021402736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 1021402736640 its reverse (466372041201), we get a palindrome (1487774777841).

The spelling of 1021402736640 in words is "one trillion, twenty-one billion, four hundred two million, seven hundred thirty-six thousand, six hundred forty".