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14214298800 = 2435213911173
BaseRepresentation
bin11010011110011110…
…01111110010110000
31100200121201012021010
431033033033302300
5213102330030200
610310245430520
71012146355242
oct151717176260
940617635233
1014214298800
116034668089
12290840b440
131456b315c0
1498bb3c092
15582d64150
hex34f3cfcb0

14214298800 has 120 divisors (see below), whose sum is σ = 49035739984. Its totient is φ = 3498900480.

The previous prime is 14214298789. The next prime is 14214298837. The reversal of 14214298800 is 889241241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439987 + ... + 471186.

Almost surely, 214214298800 is an apocalyptic number.

14214298800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14214298800 is an abundant number, since it is smaller than the sum of its proper divisors (34821441184).

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

14214298800 is a wasteful number, since it uses less digits than its factorization.

14214298800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911207 (or 911196 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 14214298800 in words is "fourteen billion, two hundred fourteen million, two hundred ninety-eight thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 911173 1822346 2733519 3644692 4555865 5467038 7289384 9111730 10934076 11845249 13667595 14578768 18223460 21868152 22779325 23690498 27335190 35535747 36446920 43736304 45558650 47380996 54670380 59226245 68337975 71071494 72893840 91117300 94761992 109340760 118452490 136675950 142142988 177678735 182234600 189523984 218681520 236904980 273351900 284285976 296131225 355357470 364469200 473809960 546703800 568571952 592262450 710714940 888393675 947619920 1093407600 1184524900 1421429880 1776787350 2369049800 2842859760 3553574700 4738099600 7107149400 14214298800