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231242224014032 = 24711714188763113
BaseRepresentation
bin110100100101000001000110…
…100111101001001011010000
31010022202112121011222002020112
4310211001012213221023100
5220302133033321422112
62135451113340300452
766464461610634560
oct6445010647511320
91108675534862215
10231242224014032
1167754304a90160
1221b28360b41728
139c05081a571ca
14411627d1d4da0
151bb021a8eca22
hexd250469e92d0

231242224014032 has 160 divisors (see below), whose sum is σ = 566475007279104. Its totient is φ = 88821910195200.

The previous prime is 231242224014019. The next prime is 231242224014101. The reversal of 231242224014032 is 230410422242132.

It is a self number, because there is not a number n which added to its sum of digits gives 231242224014032.

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, 3663908108 + ... + 3663971220.

Almost surely, 2231242224014032 is an apocalyptic number.

231242224014032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231242224014032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283237503639552).

231242224014032 is an abundant number, since it is smaller than the sum of its proper divisors (335232783265072).

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

231242224014032 is a wasteful number, since it uses less digits than its factorization.

231242224014032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105097 (or 105091 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 231242224014032 its reverse (230410422242132), we get a palindrome (461652646256164).

The spelling of 231242224014032 in words is "two hundred thirty-one trillion, two hundred forty-two billion, two hundred twenty-four million, fourteen thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 71 77 88 112 142 154 176 284 308 497 568 616 781 994 1136 1232 1562 1988 3124 3976 5467 6248 7952 10934 12496 21868 41887 43736 63113 83774 87472 126226 167548 252452 293209 335096 441791 460757 504904 586418 670192 694243 883582 921514 1009808 1172836 1388486 1767164 1843028 2345672 2776972 2973977 3225299 3534328 3686056 4481023 4691344 4859701 5553944 5947954 6450598 7068656 7372112 8962046 9719402 11107888 11895908 12901196 17924092 19438804 20817839 23791816 25802392 31367161 32713747 35848184 38877608 41635678 47583632 49291253 51604784 62734322 65427494 71696368 77755216 83271356 98582506 125468644 130854988 166542712 197165012 228996229 250937288 261709976 333085424 345038771 394330024 457992458 501874576 523419952 690077542 788660048 915984916 1380155084 1831969832 2643614231 2760310168 3663939664 5287228462 5520620336 10574456924 18505299617 21148913848 29079756541 37010599234 42297827696 58159513082 74021198468 116319026164 148042396936 187696610401 203558295787 232638052328 296084793872 375393220802 407116591574 465276104656 750786441604 814233183148 1313876272807 1501572883208 1628466366296 2064662714411 2627752545614 3003145766416 3256932732592 4129325428822 5255505091228 8258650857644 10511010182456 14452639000877 16517301715288 21022020364912 28905278001754 33034603430576 57810556003508 115621112007016 231242224014032