Search a number
-
+
44214613440 = 263546056889
BaseRepresentation
bin101001001011011001…
…010111010111000000
311020010101121002020120
4221023121113113000
51211022420112230
632151212340240
73123452004354
oct511331272700
9136111532216
1044214613440
1117829aa6548
12869b474680
1342282a697a
1421d6229464
15123ba01310
hexa4b6575c0

44214613440 has 56 divisors (see below), whose sum is σ = 140381400720. Its totient is φ = 11790563328.

The previous prime is 44214613439. The next prime is 44214613451. The reversal of 44214613440 is 4431641244.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 23027485 + ... + 23029404.

Almost surely, 244214613440 is an apocalyptic number.

44214613440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44214613440 is an abundant number, since it is smaller than the sum of its proper divisors (96166787280).

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

44214613440 is a wasteful number, since it uses less digits than its factorization.

44214613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46056909 (or 46056899 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 44214613440 in words is "forty-four billion, two hundred fourteen million, six hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 46056889 92113778 138170667 184227556 230284445 276341334 368455112 460568890 552682668 690853335 736910224 921137780 1105365336 1381706670 1473820448 1842275560 2210730672 2763413340 2947640896 3684551120 4421461344 5526826680 7369102240 8842922688 11053653360 14738204480 22107306720 44214613440