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14014110011220 = 223251128125188019
BaseRepresentation
bin1100101111101110101000…
…0011001000111101010100
31211121201212102101210100200
43023323222003020331110
53314101344130324340
645445554313340500
72644325465435364
oct313735203107524
954551772353320
1014014110011220
114513394832990
1216a4041107730
137a86a92a0307
143664023c09a4
15194814a12330
hexcbeea0c8f54

14014110011220 has 144 divisors (see below), whose sum is σ = 46538997785280. Its totient is φ = 3385269619200.

The previous prime is 14014110011201. The next prime is 14014110011261. The reversal of 14014110011220 is 2211001141041.

14014110011220 is a `hidden beast` number, since 1 + 401 + 41 + 1 + 0 + 0 + 1 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14014110011193 and 14014110011202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12037630 + ... + 13150389.

It is an arithmetic number, because the mean of its divisors is an integer number (323187484620).

Almost surely, 214014110011220 is an apocalyptic number.

14014110011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14014110011220 is an abundant number, since it is smaller than the sum of its proper divisors (32524887774060).

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

14014110011220 is a wasteful number, since it uses less digits than its factorization.

14014110011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25188326 (or 25188321 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 14014110011220 its reverse (2211001141041), we get a palindrome (16225111152261).

The spelling of 14014110011220 in words is "fourteen trillion, fourteen billion, one hundred ten million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 281 330 396 495 562 660 843 990 1124 1405 1686 1980 2529 2810 3091 3372 4215 5058 5620 6182 8430 9273 10116 12364 12645 15455 16860 18546 25290 27819 30910 37092 46365 50580 55638 61820 92730 111276 139095 185460 278190 556380 25188019 50376038 75564057 100752076 125940095 151128114 226692171 251880190 277068209 302256228 377820285 453384342 503760380 554136418 755640570 831204627 906768684 1108272836 1133460855 1385341045 1511281140 1662409254 2266921710 2493613881 2770682090 3324818508 4156023135 4533843420 4987227762 5541364180 7077833339 8312046270 9974455524 12468069405 14155666678 16624092540 21233500017 24936138810 28311333356 35389166695 42467000034 49872277620 63700500051 70778333390 77856166729 84934000068 106167500085 127401000102 141556666780 155712333458 212335000170 233568500187 254802000204 311424666916 318502500255 389280833645 424670000340 467137000374 637005000510 700705500561 778561667290 934274000748 1167842500935 1274010001020 1401411001122 1557123334580 2335685001870 2802822002244 3503527502805 4671370003740 7007055005610 14014110011220