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4444433364 = 2237471995657
BaseRepresentation
bin1000010001110100…
…01010101111010100
3102110201222121102010
410020322022233110
533100233331424
62013003344220
7215065026450
oct41072125724
912421877363
104444433364
111980848628
12a40522070
1355aa1c737
143023a3660
151b02b4229
hex108e8abd4

4444433364 has 96 divisors (see below), whose sum is σ = 12166963200. Its totient is φ = 1236356352.

The previous prime is 4444433341. The next prime is 4444433407. The reversal of 4444433364 is 4633344444.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782824 + ... + 788480.

It is an arithmetic number, because the mean of its divisors is an integer number (126739200).

Almost surely, 24444433364 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 4444433364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083481600).

4444433364 is an abundant number, since it is smaller than the sum of its proper divisors (7722529836).

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

4444433364 is a wasteful number, since it uses less digits than its factorization.

4444433364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5915 counting only the distinct ones).

The product of its digits is 663552, while the sum is 39.

The square root of 4444433364 is about 66666.5835632815. The cubic root of 4444433364 is about 1644.1400165496.

The spelling of 4444433364 in words is "four billion, four hundred forty-four million, four hundred thirty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 199 282 329 398 564 597 658 796 987 1194 1316 1393 1974 2388 2786 3948 4179 5572 5657 8358 9353 11314 16716 16971 18706 22628 28059 33942 37412 39599 56118 65471 67884 79198 112236 118797 130942 158396 196413 237594 261884 265879 392826 475188 531758 785652 797637 1063516 1125743 1595274 1861153 2251486 3190548 3377229 3722306 4502972 5583459 6754458 7444612 7880201 11166918 13508916 15760402 22333836 23640603 31520804 47281206 52909921 94562412 105819842 158729763 211639684 317459526 370369447 634919052 740738894 1111108341 1481477788 2222216682 4444433364