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14215411350 = 23252741110069
BaseRepresentation
bin11010011110100110…
…11111011010010110
31100200200210201101200
431033103133122112
5213103121130400
610310325333330
71012162000650
oct151723373226
940620721350
1014215411350
116035257a48
122908867246
131457130b0a
1498bd4b6d0
15582ed3b00
hex34f4df696

14215411350 has 144 divisors (see below), whose sum is σ = 44713075680. Its totient is φ = 3169958400.

The previous prime is 14215411307. The next prime is 14215411361. The reversal of 14215411350 is 5311451241.

14215411350 is a `hidden beast` number, since 1 + 4 + 215 + 411 + 35 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74116 + ... + 184184.

It is an arithmetic number, because the mean of its divisors is an integer number (310507470).

Almost surely, 214215411350 is an apocalyptic number.

14215411350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14215411350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22356537840).

14215411350 is an abundant number, since it is smaller than the sum of its proper divisors (30497664330).

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

14215411350 is a wasteful number, since it uses less digits than its factorization.

14215411350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110135 (or 110127 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 14215411350 its reverse (5311451241), we get a palindrome (19526862591).

The spelling of 14215411350 in words is "fourteen billion, two hundred fifteen million, four hundred eleven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 41 42 45 50 63 70 75 82 90 105 123 126 150 175 205 210 225 246 287 315 350 369 410 450 525 574 615 630 738 861 1025 1050 1230 1435 1575 1722 1845 2050 2583 2870 3075 3150 3690 4305 5166 6150 7175 8610 9225 12915 14350 18450 21525 25830 43050 64575 110069 129150 220138 330207 550345 660414 770483 990621 1100690 1540966 1651035 1981242 2311449 2751725 3302070 3852415 4512829 4622898 4953105 5503450 6934347 7704830 8255175 9025658 9906210 11557245 13538487 13868694 16510350 19262075 22564145 23114490 24765525 27076974 31589803 34671735 38524150 40615461 45128290 49531050 57786225 63179606 67692435 69343470 81230922 94769409 112820725 115572450 135384870 157949015 173358675 189538818 203077305 225641450 284308227 315898030 338462175 346717350 406154610 473847045 568616454 676924350 789745075 947694090 1015386525 1421541135 1579490150 2030773050 2369235225 2843082270 4738470450 7107705675 14215411350