Search a number
-
+
1240163403416 = 23783383811859
BaseRepresentation
bin10010000010111111011…
…111111100011010011000
311101120002010020101211022
4102002333133330122120
5130304323312402131
62345420113422012
7155412255666440
oct22027737743230
94346063211738
101240163403416
11438a4aa01583
1218042826a908
138cc4047cb82
144404a6ad120
15223d5bed37b
hex120bf7fc698

1240163403416 has 128 divisors (see below), whose sum is σ = 2703001190400. Its totient is φ = 522469284480.

The previous prime is 1240163403343. The next prime is 1240163403431. The reversal of 1240163403416 is 6143043610421.

It is a super-3 number, since 3×12401634034163 (a number of 37 digits) contains 333 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1443728795 + ... + 1443729653.

It is an arithmetic number, because the mean of its divisors is an integer number (21117196800).

Almost surely, 21240163403416 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 1240163403416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351500595200).

1240163403416 is an abundant number, since it is smaller than the sum of its proper divisors (1462837786984).

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

1240163403416 is a wasteful number, since it uses less digits than its factorization.

1240163403416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 1240163403416 in words is "one trillion, two hundred forty billion, one hundred sixty-three million, four hundred three thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 83 166 332 383 581 664 766 811 859 1162 1532 1622 1718 2324 2681 3064 3244 3436 4648 5362 5677 6013 6488 6872 10724 11354 12026 21448 22708 24052 31789 45416 48104 63578 67313 71297 127156 134626 142594 222523 254312 269252 285188 310613 328997 445046 471191 499079 538504 570376 621226 657994 696649 890092 942382 998158 1242452 1315988 1393298 1780184 1884764 1996316 2174291 2302979 2484904 2631976 2786596 3769528 3992632 4348582 4605958 4876543 5573192 8697164 9211916 9753086 17394328 18423832 19506172 25780879 27306751 39012344 51561758 54613502 57821867 103123516 109227004 115643734 180466153 191147257 206247032 218454008 231287468 266816567 360932306 382294514 404753069 462574936 533633134 721864612 764589028 809506138 1067266268 1443729224 1529178056 1619012276 1867715969 2134532536 3238024552 3735431938 7470863876 14941727752 22145775061 44291550122 88583100244 155020425427 177166200488 310040850854 620081701708 1240163403416