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44443144224 = 25321093914107
BaseRepresentation
bin101001011001000001…
…001001000000100000
311020201022121122112200
4221121001021000200
51212004421103344
632230014453200
73132225331023
oct513101110040
9136638548480
1044443144224
1117936aa6066
128743b04200
13426374029b
1422187171ba
151251ae4069
hexa59049020

44443144224 has 72 divisors (see below), whose sum is σ = 126405704880. Its totient is φ = 14811977088.

The previous prime is 44443144153. The next prime is 44443144241. The reversal of 44443144224 is 42244134444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3143379 + ... + 3157485.

It is an arithmetic number, because the mean of its divisors is an integer number (1755634790).

Almost surely, 244443144224 is an apocalyptic number.

It is an amenable number.

44443144224 is an abundant number, since it is smaller than the sum of its proper divisors (81962560656).

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

44443144224 is a wasteful number, since it uses less digits than its factorization.

44443144224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25062 (or 25051 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

Adding to 44443144224 its reverse (42244134444), we get a palindrome (86687278668).

The spelling of 44443144224 in words is "forty-four billion, four hundred forty-three million, one hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10939 14107 21878 28214 32817 42321 43756 56428 65634 84642 87512 98451 112856 126963 131268 169284 175024 196902 225712 253926 262536 338568 350048 393804 451424 507852 525072 677136 787608 1015704 1050144 1354272 1575216 2031408 3150432 4062816 154316473 308632946 462949419 617265892 925898838 1234531784 1388848257 1851797676 2469063568 2777696514 3703595352 4938127136 5555393028 7407190704 11110786056 14814381408 22221572112 44443144224