Search a number
-
+
44444396048 = 241338111559
BaseRepresentation
bin101001011001000101…
…111010101000010000
311020201101222020201112
4221121011322220100
51212010231133143
632230101352452
73132242063453
oct513105725020
9136641866645
1044444396048
1117937780628
128744408728
134263a8b000
14221896149a
151251c8ee18
hexa5917aa10

44444396048 has 80 divisors (see below), whose sum is σ = 93458601600. Its totient is φ = 20474363520.

The previous prime is 44444396023. The next prime is 44444396053. The reversal of 44444396048 is 84069344444.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 44444395987 and 44444396005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28507493 + ... + 28509051.

It is an arithmetic number, because the mean of its divisors is an integer number (1168232520).

Almost surely, 244444396048 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 44444396048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46729300800).

44444396048 is an abundant number, since it is smaller than the sum of its proper divisors (49014205552).

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

44444396048 is a wasteful number, since it uses less digits than its factorization.

44444396048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 50.

The spelling of 44444396048 in words is "forty-four billion, four hundred forty-four million, three hundred ninety-six thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 811 1352 1559 1622 2197 2704 3118 3244 4394 6236 6488 8788 10543 12472 12976 17576 20267 21086 24944 35152 40534 42172 81068 84344 137059 162136 168688 263471 274118 324272 526942 548236 1053884 1096472 1264349 1781767 2107768 2192944 2528698 3425123 3563534 4215536 5057396 6850246 7127068 10114792 13700492 14254136 16436537 20229584 27400984 28508272 32873074 54801968 65746148 131492296 213674981 262984592 427349962 854699924 1709399848 2777774753 3418799696 5555549506 11111099012 22222198024 44444396048