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4428838388244 = 2231961367867679
BaseRepresentation
bin100000001110010101101…
…0101101100001000010100
3120200101121100202222112110
41000130223111230020110
51040030230111410434
613230325200551020
7634654513110564
oct100345325541024
916611540688473
104428838388244
1114582948a0986
125b6409022470
13261839c5871a
141144dd570da4
157a30e5264e9
hex4072b56c214

4428838388244 has 96 divisors (see below), whose sum is σ = 11086312652800. Its totient is φ = 1371903039360.

The previous prime is 4428838388231. The next prime is 4428838388267.

4428838388244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44288383882442 (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 4670397 + ... + 5538075.

Almost surely, 24428838388244 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 4428838388244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543156326400).

4428838388244 is an abundant number, since it is smaller than the sum of its proper divisors (6657474264556).

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

4428838388244 is a wasteful number, since it uses less digits than its factorization.

4428838388244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868133 (or 868131 counting only the distinct ones).

The product of its digits is 301989888, while the sum is 66.

The spelling of 4428838388244 in words is "four trillion, four hundred twenty-eight billion, eight hundred thirty-eight million, three hundred eighty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 114 122 183 228 244 366 367 732 734 1101 1159 1468 2202 2318 3477 4404 4636 6954 6973 13908 13946 20919 22387 27892 41838 44774 67161 83676 89548 134322 268644 425353 850706 867679 1276059 1701412 1735358 2552118 2603037 3470716 5104236 5206074 10412148 16485901 32971802 49457703 52928419 65943604 98915406 105856838 158785257 197830812 211713676 317570514 318438193 635141028 636876386 955314579 1005639961 1273752772 1910629158 2011279922 3016919883 3821258316 4022559844 6033839766 6050325667 12067679532 12100651334 18150977001 19424729773 24201302668 36301954002 38849459546 58274189319 72603908004 77698919092 116548378638 233096757276 369069865687 738139731374 1107209597061 1476279462748 2214419194122 4428838388244