Search a number
-
+
10440042403320 = 23335611491063561
BaseRepresentation
bin1001011111101100001100…
…0001001101010111111000
31100222001120111122110202000
42113323003001031113320
52332022201323401240
634112031140541000
72125160661144045
oct227730301152770
940861514573660
1010440042403320
113365662846722
1212074250b1760
135a965157482a
1428142d37a1cc
15131881dec430
hex97ec304d5f8

10440042403320 has 256 divisors, whose sum is σ = 35608055760000. Its totient is φ = 2719990886400.

The previous prime is 10440042403309. The next prime is 10440042403391. The reversal of 10440042403320 is 2330424004401.

It is a happy number.

10440042403320 is a `hidden beast` number, since 10 + 4 + 400 + 4 + 240 + 3 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 9284340 + ... + 10347900.

Almost surely, 210440042403320 is an apocalyptic number.

10440042403320 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 10440042403320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17804027880000).

10440042403320 is an abundant number, since it is smaller than the sum of its proper divisors (25168013356680).

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

10440042403320 is a wasteful number, since it uses less digits than its factorization.

10440042403320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063791 (or 1063781 counting only the distinct ones).

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

Adding to 10440042403320 its reverse (2330424004401), we get a palindrome (12770466407721).

The spelling of 10440042403320 in words is "ten trillion, four hundred forty billion, forty-two million, four hundred three thousand, three hundred twenty".