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4440031431108 = 2237132421742913
BaseRepresentation
bin100000010011100011001…
…1111110000100111000100
3120201110111102110110210120
41000213012133300213010
51040221141021243413
613235420002421540
7635532055313610
oct100470637604704
916643442413716
104440031431108
111462008a9a729
125b86116618b0
13262901b72800
14114c81d32340
157a766ee8723
hex409c67f09c4

4440031431108 has 144 divisors (see below), whose sum is σ = 12851389950336. Its totient is φ = 1168214261760.

The previous prime is 4440031431107. The next prime is 4440031431127. The reversal of 4440031431108 is 8011341300444.

It is not an unprimeable number, because it can be changed into a prime (4440031431107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5605060 + ... + 6347972.

It is an arithmetic number, because the mean of its divisors is an integer number (89245763544).

Almost surely, 24440031431108 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 4440031431108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6425694975168).

4440031431108 is an abundant number, since it is smaller than the sum of its proper divisors (8411358519228).

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

4440031431108 is a wasteful number, since it uses less digits than its factorization.

4440031431108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743374 (or 743359 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 4440031431108 in words is "four trillion, four hundred forty billion, thirty-one million, four hundred thirty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 421 507 546 676 842 1014 1092 1183 1263 1684 2028 2366 2526 2947 3549 4732 5052 5473 5894 7098 8841 10946 11788 14196 16419 17682 21892 32838 35364 38311 65676 71149 76622 114933 142298 153244 213447 229866 284596 426894 459732 498043 742913 853788 996086 1485826 1494129 1992172 2228739 2971652 2988258 4457478 5200391 5976516 8914956 9657869 10400782 15601173 19315738 20801564 28973607 31202346 38631476 57947214 62404692 67605083 115894428 125552297 135210166 202815249 251104594 270420332 312766373 376656891 405630498 502209188 625532746 753313782 811260996 878866079 938299119 1251065492 1506627564 1757732158 1876598238 2189364611 2636598237 3515464316 3753196476 4065962849 4378729222 5273196474 6568093833 8131925698 8757458444 10546392948 12197888547 13136187666 16263851396 24395777094 26272375332 28461739943 48791554188 52857517037 56923479886 85385219829 105715034074 113846959772 158572551111 170770439658 211430068148 317145102222 341540879316 370002619259 634290204444 740005238518 1110007857777 1480010477036 2220015715554 4440031431108