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4113341234244 = 223211234363103511
BaseRepresentation
bin111011110110110110001…
…111100011110001000100
3112120020020211012222000200
4323312312033203301010
51014343110323443434
612425350510010500
7603115300414224
oct73666617436104
915506224188020
104113341234244
11134650498a4a0
125652397a6a30
1323ab6a5b4208
14103130194084
1571ee659d199
hex3bdb63e3c44

4113341234244 has 144 divisors (see below), whose sum is σ = 11838844652544. Its totient is φ = 1191988036800.

The previous prime is 4113341234239. The next prime is 4113341234257. The reversal of 4113341234244 is 4424321433114.

4113341234244 is a `hidden beast` number, since 41 + 1 + 3 + 341 + 2 + 34 + 244 = 666.

It is a super-2 number, since 2×41133412342442 (a number of 26 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4113341234199 and 4113341234208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39686449 + ... + 39789959.

It is an arithmetic number, because the mean of its divisors is an integer number (82214198976).

Almost surely, 24113341234244 is an apocalyptic number.

4113341234244 is a gapful number since it is divisible by the number (44) 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 4113341234244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919422326272).

4113341234244 is an abundant number, since it is smaller than the sum of its proper divisors (7725503418300).

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

4113341234244 is a wasteful number, since it uses less digits than its factorization.

4113341234244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107918 (or 107913 counting only the distinct ones).

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

Adding to 4113341234244 its reverse (4424321433114), we get a palindrome (8537662667358).

The spelling of 4113341234244 in words is "four trillion, one hundred thirteen billion, three hundred forty-one million, two hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4363 4554 8726 9108 13089 17452 26178 39267 47993 52356 78534 95986 100349 103511 143979 157068 191972 200698 207022 287958 301047 310533 401396 414044 431937 575916 602094 621066 863874 903141 931599 1103839 1138621 1204188 1242132 1727748 1806282 1863198 2207678 2277242 2380753 3311517 3415863 3612564 3726396 4415356 4554484 4761506 6623034 6831726 7142259 9523012 9934551 10247589 13246068 13663452 14284518 19869102 20495178 21426777 26188283 28569036 39738204 40990356 42853554 52376566 78564849 85707108 104753132 157129698 235694547 314259396 451618493 471389094 903236986 942778188 1354855479 1806473972 2709710958 4064566437 4967803423 5419421916 8129132874 9935606846 10387225339 14903410269 16258265748 19871213692 20774450678 29806820538 31161676017 41548901356 44710230807 59613641076 62323352034 89420461614 93485028051 114259478729 124646704068 178840923228 186970056102 228518957458 342778436187 373940112204 457037914916 685556872374 1028335308561 1371113744748 2056670617122 4113341234244