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4434241232340 = 22325731392427779
BaseRepresentation
bin100000010000110110101…
…0111111001110111010100
3120200220112220011220022100
41000201231113321313110
51040122311223413330
613233021242402100
7635235426403623
oct100415527716724
916626486156270
104434241232340
11145a607636697
125b7476500330
132621bb3b32aa
14114892d376ba
157a528a04060
hex4086d5f9dd4

4434241232340 has 144 divisors (see below), whose sum is σ = 13732883236800. Its totient is φ = 1157875305984.

The previous prime is 4434241232327. The next prime is 4434241232417. The reversal of 4434241232340 is 432321424344.

4434241232340 is a `hidden beast` number, since 4 + 4 + 3 + 4 + 2 + 412 + 3 + 234 + 0 = 666.

It is a super-3 number, since 3×44342412323403 (a number of 39 digits) contains 333 as substring.

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 = 4434241232295 and 4434241232304.

It is a congruent number.

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, 612571 + ... + 3040349.

It is an arithmetic number, because the mean of its divisors is an integer number (95367244700).

Almost surely, 24434241232340 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 4434241232340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6866441618400).

4434241232340 is an abundant number, since it is smaller than the sum of its proper divisors (9298642004460).

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

4434241232340 is a wasteful number, since it uses less digits than its factorization.

4434241232340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428006 (or 2428001 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4434241232340 its reverse (432321424344), we get a palindrome (4866562656684).

The spelling of 4434241232340 in words is "four trillion, four hundred thirty-four billion, two hundred forty-one million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 139 146 180 219 278 292 365 417 438 556 657 695 730 834 876 1095 1251 1314 1390 1460 1668 2085 2190 2502 2628 2780 3285 4170 4380 5004 6255 6570 8340 10147 12510 13140 20294 25020 30441 40588 50735 60882 91323 101470 121764 152205 182646 202940 304410 365292 456615 608820 913230 1826460 2427779 4855558 7283337 9711116 12138895 14566674 21850011 24277790 29133348 36416685 43700022 48555580 72833370 87400044 109250055 145666740 177227867 218500110 337461281 354455734 437000220 531683601 674922562 708911468 886139335 1012383843 1063367202 1349845124 1595050803 1687306405 1772278670 2024767686 2126734404 2658418005 3037151529 3190101606 3374612810 3544557340 4049535372 5061919215 5316836010 6074303058 6380203212 6749225620 7975254015 10123838430 10633672020 12148606116 15185757645 15950508030 20247676860 24634673513 30371515290 31901016060 49269347026 60743030580 73904020539 98538694052 123173367565 147808041078 221712061617 246346735130 295616082156 369520102695 443424123234 492693470260 739040205390 886848246468 1108560308085 1478080410780 2217120616170 4434241232340