Search a number
-
+
44070478840080 = 243457111719318821
BaseRepresentation
bin10100000010100111101010…
…01111001000000100010000
312210001002121102222202020000
422001103311033020010100
521234022320040340310
6233421410512250000
712165662356233540
oct1201236517100420
9183032542882200
1044070478840080
1113051204432410
124b391a2240900
131b78a9ca94564
14ac5045c79320
155165933714c0
hex2814f53c8110

44070478840080 has 3200 divisors, whose sum is σ = 219578128957440. Its totient is φ = 7900913664000.

The previous prime is 44070478840051. The next prime is 44070478840103. The reversal of 44070478840080 is 8004887407044.

44070478840080 is a `hidden beast` number, since 4 + 40 + 7 + 0 + 47 + 88 + 400 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 44070478839999 and 44070478840026.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 4996082070 + ... + 4996090890.

Almost surely, 244070478840080 is an apocalyptic number.

44070478840080 is a gapful number since it is divisible by the number (40) 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 44070478840080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109789064478720).

44070478840080 is an abundant number, since it is smaller than the sum of its proper divisors (175507650117360).

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

44070478840080 is a wasteful number, since it uses less digits than its factorization.

44070478840080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8931 (or 8916 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 54.

The spelling of 44070478840080 in words is "forty-four trillion, seventy billion, four hundred seventy-eight million, eight hundred forty thousand, eighty".