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4401444224 = 27374321613
BaseRepresentation
bin1000001100101100…
…01011010110000000
3102100202002112101202
410012112023112000
533003232203344
62004430120332
7214033441622
oct40626132600
912322075352
104401444224
111959556211
12a2a0500a8
13551b4a488
142da7b2c12
151ab62194e
hex10658b580

4401444224 has 64 divisors (see below), whose sum is σ = 9215345040. Its totient is φ = 2091350016.

The previous prime is 4401444149. The next prime is 4401444227. The reversal of 4401444224 is 4224441044.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×44014442242 = 38745422513965924352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4401444227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192842 + ... + 214454.

Almost surely, 24401444224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4401444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607672520).

4401444224 is an abundant number, since it is smaller than the sum of its proper divisors (4813900816).

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

4401444224 is a wasteful number, since it uses less digits than its factorization.

4401444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21707 (or 21695 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

The square root of 4401444224 is about 66343.3811619516. The cubic root of 4401444224 is about 1638.8218069592.

Adding to 4401444224 its reverse (4224441044), we get a palindrome (8625885268).

The spelling of 4401444224 in words is "four billion, four hundred one million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 43 64 74 86 128 148 172 296 344 592 688 1184 1376 1591 2368 2752 3182 4736 5504 6364 12728 21613 25456 43226 50912 86452 101824 172904 203648 345808 691616 799681 929359 1383232 1599362 1858718 2766464 3198724 3717436 6397448 7434872 12794896 14869744 25589792 29739488 34386283 51179584 59478976 68772566 102359168 118957952 137545132 275090264 550180528 1100361056 2200722112 4401444224