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14202354410040 = 2335315171738317
BaseRepresentation
bin1100111010101011111001…
…0010100010001000111000
31212021201202111110001122210
43032222332102202020320
53330142410212110130
650112245504215120
72664041403431556
oct316527622421070
955251674401583
1014202354410040
11458620389aa05
12171461790a4a0
137c0378c88a54
1437157d102bd6
15199680de05b0
hexceabe4a2238

14202354410040 has 128 divisors (see below), whose sum is σ = 43990049617920. Its totient is φ = 3664409971200.

The previous prime is 14202354410003. The next prime is 14202354410051. The reversal of 14202354410040 is 4001445320241.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 18866962 + ... + 19605278.

It is an arithmetic number, because the mean of its divisors is an integer number (343672262640).

Almost surely, 214202354410040 is an apocalyptic number.

14202354410040 is a gapful number since it is divisible by the number (10) 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 14202354410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21995024808960).

14202354410040 is an abundant number, since it is smaller than the sum of its proper divisors (29787695207880).

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

14202354410040 is a wasteful number, since it uses less digits than its factorization.

14202354410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743533 (or 743529 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14202354410040 its reverse (4001445320241), we get a palindrome (18203799730281).

The spelling of 14202354410040 in words is "fourteen trillion, two hundred two billion, three hundred fifty-four million, four hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 5171 10342 15513 20684 25855 31026 41368 51710 62052 77565 103420 124104 155130 160301 206840 310260 320602 480903 620520 641204 738317 801505 961806 1282408 1476634 1603010 1923612 2214951 2404515 2953268 3206020 3691585 3847224 4429902 4809030 5906536 6412040 7383170 8859804 9618060 11074755 14766340 17719608 19236120 22149510 22887827 29532680 44299020 45775654 68663481 88598040 91551308 114439135 137326962 183102616 228878270 274653924 343317405 457756540 549307848 686634810 915513080 1373269620 2746539240 3817837207 7635674414 11453511621 15271348828 19089186035 22907023242 30542697656 38178372070 45814046484 57267558105 76356744140 91628092968 114535116210 118352953417 152713488280 229070232420 236705906834 355058860251 458140464840 473411813668 591764767085 710117720502 946823627336 1183529534170 1420235441004 1775294301255 2367059068340 2840470882008 3550588602510 4734118136680 7101177205020 14202354410040