Search a number
-
+
424225139825088 = 263775237011181
BaseRepresentation
bin110000001110101001001110…
…0110000111001100111000000
32001122001112020101201110000000
41200131102130300321213000
5421101001041243400323
64102130201103000000
7155233153302630150
oct14035223460714700
92048045211643000
10424225139825088
111131979649a5148
123b6b5810b99000
131529334a12b414
1476a886ba6a760
15340a1094d5e43
hex181d49cc399c0

424225139825088 has 896 divisors, whose sum is σ = 1448950093793280. Its totient is φ = 120700564992000.

The previous prime is 424225139825077. The next prime is 424225139825107. The reversal of 424225139825088 is 880528931522424.

424225139825088 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 2 + 513 + 98 + 25 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 359208415858 + ... + 359208417038.

Almost surely, 2424225139825088 is an apocalyptic number.

424225139825088 is a gapful number since it is divisible by the number (48) 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 424225139825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724475046896640).

424225139825088 is an abundant number, since it is smaller than the sum of its proper divisors (1024724953968192).

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

424225139825088 is an equidigital number, since it uses as much as digits as its factorization.

424225139825088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 424225139825088 in words is "four hundred twenty-four trillion, two hundred twenty-five billion, one hundred thirty-nine million, eight hundred twenty-five thousand, eighty-eight".