Search a number
-
+
411242033132244 = 2232193119394549761
BaseRepresentation
bin101110110000001011011111…
…1010011010011001011010100
31222221002100120100221211120100
41131200112333103103023110
5412400242140440212434
64014345552032334100
7152423153643611016
oct13540267723231324
91887070510854510
10411242033132244
1110a041848711126
123a1595649a4330
1314860c5a31b452
14737a3134b01b6
153282537e9d699
hex17605bf4d32d4

411242033132244 has 72 divisors (see below), whose sum is σ = 1129538578138880. Its totient is φ = 125676682444800.

The previous prime is 411242033132233. The next prime is 411242033132261. The reversal of 411242033132244 is 442231330242114.

411242033132244 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 420 + 3 + 3 + 1 + 3 + 224 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 411242033132199 and 411242033132208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9697253677 + ... + 9697296084.

Almost surely, 2411242033132244 is an apocalyptic number.

It is an amenable number.

411242033132244 is an abundant number, since it is smaller than the sum of its proper divisors (718296545006636).

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

411242033132244 is a wasteful number, since it uses less digits than its factorization.

411242033132244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19394549821 (or 19394549816 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 411242033132244 its reverse (442231330242114), we get a palindrome (853473363374358).

The spelling of 411242033132244 in words is "four hundred eleven trillion, two hundred forty-two billion, thirty-three million, one hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 372 558 589 684 1116 1178 1767 2356 3534 5301 7068 10602 21204 19394549761 38789099522 58183649283 77578199044 116367298566 174550947849 232734597132 349101895698 368496445459 601231042591 698203791396 736992890918 1105489336377 1202462085182 1473985781836 1803693127773 2210978672754 2404924170364 3316468009131 3607386255546 4421957345508 5411079383319 6632936018262 7214772511092 10822158766638 11423389809229 13265872036524 21644317533276 22846779618458 34270169427687 45693559236916 68540338855374 102810508283061 137080677710748 205621016566122 411242033132244