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47044442000 = 245399723593
BaseRepresentation
bin101011110100000100…
…010011011110010000
311111102121102021020202
4223310010103132100
51232321334121000
633340101354332
73253543105403
oct536404233620
9144377367222
1047044442000
1118a513a7636
12914b1089a8
134589648b3a
1423c3db5d3a
15135517ddd5
hexaf4113790

47044442000 has 80 divisors (see below), whose sum is σ = 113872382832. Its totient is φ = 18798105600.

The previous prime is 47044441987. The next prime is 47044442009. The reversal of 47044442000 is 24444074.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17390224384 + 29654217616 = 131872^2 + 172204^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (47044442009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1982204 + ... + 2005796.

Almost surely, 247044442000 is an apocalyptic number.

47044442000 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 47044442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56936191416).

47044442000 is an abundant number, since it is smaller than the sum of its proper divisors (66827940832).

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

47044442000 is a wasteful number, since it uses less digits than its factorization.

47044442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24613 (or 24597 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 29.

Adding to 47044442000 its reverse (24444074), we get a palindrome (47068886074).

The spelling of 47044442000 in words is "forty-seven billion, forty-four million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 997 1000 1994 2000 3988 4985 7976 9970 15952 19940 23593 24925 39880 47186 49850 79760 94372 99700 117965 124625 188744 199400 235930 249250 377488 398800 471860 498500 589825 943720 997000 1179650 1887440 1994000 2359300 2949125 4718600 5898250 9437200 11796500 23522221 23593000 47044442 47186000 94088884 117611105 188177768 235222210 376355536 470444420 588055525 940888840 1176111050 1881777680 2352222100 2940277625 4704444200 5880555250 9408888400 11761110500 23522221000 47044442000