Search a number
-
+
1061424000000 = 2103656713
BaseRepresentation
bin11110111001000011100…
…11001110110000000000
310202110201110111221000000
433130201303032300000
5114342244021000000
62131340024000000
7136454035065150
oct17344163166000
93673643457000
101061424000000
1137a1691a4261
12151864900000
1379126a58480
1439532098760
151c924000000
hexf721ccec00

1061424000000 has 2156 divisors, whose sum is σ = 4894186416112. Its totient is φ = 223948800000.

The previous prime is 1061423999971. The next prime is 1061424000019. The reversal of 1061424000000 is 4241601.

1061424000000 is a `hidden beast` number, since 10 + 614 + 2 + 40 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10614240000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1061424000000 = 6003 + 102003 = 45003 + 99003.

It is an unprimeable number.

It is a polite number, since it can be written in 195 ways as a sum of consecutive naturals, for example, 81647999994 + ... + 81648000006.

Almost surely, 21061424000000 is an apocalyptic number.

1061424000000 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 1061424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447093208056).

1061424000000 is an abundant number, since it is smaller than the sum of its proper divisors (3832762416112).

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

1061424000000 is an frugal number, since it uses more digits than its factorization.

1061424000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1061424000000 its reverse (4241601), we get a palindrome (1061428241601).

The spelling of 1061424000000 in words is "one trillion, sixty-one billion, four hundred twenty-four million", and thus it is an aban number.