Search a number
-
+
44444444444460 = 223354311065117929
BaseRepresentation
bin10100001101100000001110…
…10100101100011100101100
312211100211212202020210101000
422012300013110230130230
521311134210234210320
6234305255041120300
712235001523355524
oct1206600724543454
9184324782223330
1044444444444460
1113185868251a75
124b9976a629090
131ba51297a8578
14ad91a0552684
1552117e36ec90
hex286c0752c72c

44444444444460 has 192 divisors, whose sum is σ = 138613163673600. Its totient is φ = 11822583744000.

The previous prime is 44444444444459. The next prime is 44444444444483. The reversal of 44444444444460 is 6444444444444.

44444444444460 is a `hidden beast` number, since 44 + 44 + 44 + 44 + 44 + 446 + 0 = 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 = 44444444444397 and 44444444444406.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2478904776 + ... + 2478922704.

It is an arithmetic number, because the mean of its divisors is an integer number (721943560800).

Almost surely, 244444444444460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44444444444460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69306581836800).

44444444444460 is an abundant number, since it is smaller than the sum of its proper divisors (94168719229140).

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

44444444444460 is a wasteful number, since it uses less digits than its factorization.

44444444444460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29029 (or 29021 counting only the distinct ones).

The product of its (nonzero) digits is 100663296, while the sum is 54.

The spelling of 44444444444460 in words is "forty-four trillion, four hundred forty-four billion, four hundred forty-four million, four hundred forty-four thousand, four hundred sixty".