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14014014224100 = 22352116169617557
BaseRepresentation
bin1100101111101110010001…
…0101101111011011100100
31211121201121202011022010120
43023323210111233123210
53314101200120132400
645445541012321540
72644323223320552
oct313734425573344
954551552138116
1014014014224100
114513345759680
1216a40150132b0
137a86924a3247
143663d37a8bd2
1519480b3e0ca0
hexcbee456f6e4

14014014224100 has 144 divisors (see below), whose sum is σ = 44958462015936. Its totient is φ = 3341642688000.

The previous prime is 14014014224071. The next prime is 14014014224149. The reversal of 14014014224100 is 142241041041.

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, 34607479 + ... + 35010078.

Almost surely, 214014014224100 is an apocalyptic number.

14014014224100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14014014224100 is an abundant number, since it is smaller than the sum of its proper divisors (30944447791836).

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

14014014224100 is a wasteful number, since it uses less digits than its factorization.

14014014224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69617646 (or 69617639 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14014014224100 its reverse (142241041041), we get a palindrome (14156255265141).

The spelling of 14014014224100 in words is "fourteen trillion, fourteen billion, fourteen million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 61 66 75 100 110 122 132 150 165 183 220 244 275 300 305 330 366 550 610 660 671 732 825 915 1100 1220 1342 1525 1650 1830 2013 2684 3050 3300 3355 3660 4026 4575 6100 6710 8052 9150 10065 13420 16775 18300 20130 33550 40260 50325 67100 100650 201300 69617557 139235114 208852671 278470228 348087785 417705342 696175570 765793127 835410684 1044263355 1392351140 1531586254 1740438925 2088526710 2297379381 3063172508 3480877850 3828965635 4177053420 4246670977 4594758762 5221316775 6961755700 7657931270 8493341954 9189517524 10442633550 11486896905 12740012931 15315862540 16986683908 19144828175 20885267100 21233354885 22973793810 25480025862 38289656350 42466709770 45947587620 46713380747 50960051724 57434484525 63700064655 76579312700 84933419540 93426761494 106166774425 114868969050 127400129310 140140142241 186853522988 212333548850 229737938100 233566903735 254800258620 280280284482 318500323275 424667097700 467133807470 560560568964 637000646550 700700711205 934267614940 1167834518675 1274001293100 1401401422410 2335669037350 2802802844820 3503503556025 4671338074700 7007007112050 14014014224100