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444340444032 = 2732475981049
BaseRepresentation
bin1100111011101001100…
…00010001101110000000
31120110220211221022100200
412131310300101232000
524240002123202112
6540043245445200
744050112312412
oct6356460215600
91513824838320
10444340444032
11161497662271
1272148870800
1332b93a00a84
1417712dc49b2
15b8594a2cdc
hex6774c11b80

444340444032 has 96 divisors (see below), whose sum is σ = 1278920370000. Its totient is φ = 148080531456.

The previous prime is 444340444003. The next prime is 444340444049. The reversal of 444340444032 is 230444043444.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 11 ways as a sum of consecutive naturals, for example, 5441844 + ... + 5522892.

Almost surely, 2444340444032 is an apocalyptic number.

It is an amenable number.

444340444032 is an abundant number, since it is smaller than the sum of its proper divisors (834579925968).

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

444340444032 is a wasteful number, since it uses less digits than its factorization.

444340444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85828 (or 85813 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 444340444032 its reverse (230444043444), we get a palindrome (674784487476).

The spelling of 444340444032 in words is "four hundred forty-four billion, three hundred forty million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4759 9518 14277 19036 28554 38072 42831 57108 76144 81049 85662 114216 152288 162098 171324 228432 243147 304576 324196 342648 456864 486294 609152 648392 685296 729441 913728 972588 1296784 1370592 1458882 1827456 1945176 2593568 2741184 2917764 3890352 5187136 5482368 5835528 7780704 10374272 11671056 15561408 23342112 31122816 46684224 93368448 385712191 771424382 1157136573 1542848764 2314273146 3085697528 3471409719 4628546292 6171395056 6942819438 9257092584 12342790112 13885638876 18514185168 24685580224 27771277752 37028370336 49371160448 55542555504 74056740672 111085111008 148113481344 222170222016 444340444032