Search a number
-
+
1022023402344 = 2332726783113461
BaseRepresentation
bin11101101111101010101…
…01111000001101101000
310121201000120100011221100
432313311111320031220
5113221100442333334
62101302220241400
7133560456404100
oct16676525701550
93551016304840
101022023402344
1136448a62605a
121460a96a0260
13754b7c22769
143767535a200
151b8b9e68c99
hexedf5578368

1022023402344 has 576 divisors, whose sum is σ = 3343832331840. Its totient is φ = 281056849920.

The previous prime is 1022023402333. The next prime is 1022023402357. The reversal of 1022023402344 is 4432043202201.

1022023402344 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 3 + 402 + 34 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2216970274 + ... + 2216970734.

It is an arithmetic number, because the mean of its divisors is an integer number (5805264465).

Almost surely, 21022023402344 is an apocalyptic number.

1022023402344 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 1022023402344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671916165920).

1022023402344 is an abundant number, since it is smaller than the sum of its proper divisors (2321808929496).

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

1022023402344 is a wasteful number, since it uses less digits than its factorization.

1022023402344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1022023402344 its reverse (4432043202201), we get a palindrome (5454066604545).

The spelling of 1022023402344 in words is "one trillion, twenty-two billion, twenty-three million, four hundred two thousand, three hundred forty-four".