Search a number
-
+
44521000000 = 26562112
BaseRepresentation
bin101001011101101010…
…001000110001000000
311020220202010010120221
4221131222020301000
51212134334000000
632241435312424
73134162153551
oct513552106100
9136822103527
1044521000000
1117976a42284
128765bab714
1342768cc6a9
142224bc2328
15125887261a
hexa5da88c40

44521000000 has 147 divisors (see below), whose sum is σ = 110957388321. Its totient is φ = 17724000000.

The previous prime is 44520999983. The next prime is 44521000037. The reversal of 44521000000 is 12544.

The square root of 44521000000 is 211000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 39004670016 + 5516329984 = 197496^2 + 74272^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 210999895 + ... + 211000105.

Almost surely, 244521000000 is an apocalyptic number.

44521000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

44521000000 is the 211000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44521000000

44521000000 is an abundant number, since it is smaller than the sum of its proper divisors (66436388321).

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

44521000000 is an frugal number, since it uses more digits than its factorization.

44521000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Multiplying 44521000000 by its sum of digits (16), we get a square (712336000000 = 8440002).

44521000000 divided by its sum of digits (16) gives a square (2782562500 = 527502).

Adding to 44521000000 its reverse (12544), we get a palindrome (44521012544).

Multiplying 44521000000 by its reverse (12544), we get a square (558471424000000 = 236320002).

The spelling of 44521000000 in words is "forty-four billion, five hundred twenty-one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 211 250 320 400 422 500 625 800 844 1000 1055 1250 1600 1688 2000 2110 2500 3125 3376 4000 4220 5000 5275 6250 6752 8000 8440 10000 10550 12500 13504 15625 16880 20000 21100 25000 26375 31250 33760 40000 42200 44521 50000 52750 62500 67520 84400 89042 100000 105500 125000 131875 168800 178084 200000 211000 222605 250000 263750 337600 356168 422000 445210 500000 527500 659375 712336 844000 890420 1000000 1055000 1113025 1318750 1424672 1688000 1780840 2110000 2226050 2637500 2849344 3296875 3561680 4220000 4452100 5275000 5565125 6593750 7123360 8440000 8904200 10550000 11130250 13187500 14246720 17808400 21100000 22260500 26375000 27825625 35616800 42200000 44521000 52750000 55651250 71233600 89042000 105500000 111302500 139128125 178084000 211000000 222605000 278256250 356168000 445210000 556512500 695640625 890420000 1113025000 1391281250 1780840000 2226050000 2782562500 4452100000 5565125000 8904200000 11130250000 22260500000 44521000000