Search a number
-
+
1000124111448 = 233273116754949
BaseRepresentation
bin11101000110111000000…
…10101101101001011000
310112121111100221221101100
432203130002231221120
5112341223233031243
62043241202351400
7132154002453000
oct16433402555130
93477440857340
101000124111448
11356171a95740
121419b765b560
1373407c01c77
1436598b13000
151b0375d00d3
hexe8dc0ada58

1000124111448 has 384 divisors, whose sum is σ = 3497457600000. Its totient is φ = 255890638080.

The previous prime is 1000124111447. The next prime is 1000124111449. The reversal of 1000124111448 is 8441114210001.

1000124111448 is a `hidden beast` number, since 100 + 0 + 1 + 2 + 4 + 111 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (1000124111447) and next prime (1000124111449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000124111447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18173478 + ... + 18228426.

It is an arithmetic number, because the mean of its divisors is an integer number (9107962500).

Almost surely, 21000124111448 is an apocalyptic number.

1000124111448 is a gapful number since it is divisible by the number (18) 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 1000124111448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748728800000).

1000124111448 is an abundant number, since it is smaller than the sum of its proper divisors (2497333488552).

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

1000124111448 is a wasteful number, since it uses less digits than its factorization.

1000124111448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55060 (or 55039 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 1000124111448 its reverse (8441114210001), we get a palindrome (9441238321449).

The spelling of 1000124111448 in words is "one trillion, one hundred twenty-four million, one hundred eleven thousand, four hundred forty-eight".