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1016420302044 = 2233717532775387
BaseRepresentation
bin11101100101001110101…
…11101111110011011100
310121011120002010012022000
432302213113233303130
5113123112044131134
62054534222322300
7133301562005520
oct16624727576334
93534502105260
101016420302044
11362074842954
12144ba5129390
1374b041510b4
14372a3145d80
151b68d0d0e99
hexeca75efcdc

1016420302044 has 384 divisors, whose sum is σ = 3261269329920. Its totient is φ = 267148357632.

The previous prime is 1016420302021. The next prime is 1016420302103. The reversal of 1016420302044 is 4402030246101.

It is a happy number.

1016420302044 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 420 + 30 + 204 + 4 = 666.

It is a super-2 number, since 2×10164203020442 (a number of 25 digits) contains 22 as substring.

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 = 1016420301999 and 1016420302017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188677519 + ... + 188682905.

It is an arithmetic number, because the mean of its divisors is an integer number (8492888880).

Almost surely, 21016420302044 is an apocalyptic number.

1016420302044 is a gapful number since it is divisible by the number (14) 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 1016420302044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630634664960).

1016420302044 is an abundant number, since it is smaller than the sum of its proper divisors (2244849027876).

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

1016420302044 is a wasteful number, since it uses less digits than its factorization.

1016420302044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1016420302044 its reverse (4402030246101), we get a palindrome (5418450548145).

The spelling of 1016420302044 in words is "one trillion, sixteen billion, four hundred twenty million, three hundred two thousand, forty-four".