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14023204331100 = 223521699211113033
BaseRepresentation
bin1100110000010000100000…
…0111001101111001011100
31211122121100012222002220220
43030010020013031321130
53314224010302043400
645454100544241340
72645100035043456
oct314041007157134
954577305862826
1014023204331100
114517231296028
1216a595a910250
137a94c8455893
14366a261492d6
15194b981207a0
hexcc1081cde5c

14023204331100 has 144 divisors (see below), whose sum is σ = 40620033484800. Its totient is φ = 3735263116800.

The previous prime is 14023204331009. The next prime is 14023204331111. The reversal of 14023204331100 is 113340232041.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1075970184 + ... + 1075983216.

Almost surely, 214023204331100 is an apocalyptic number.

14023204331100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14023204331100 is an abundant number, since it is smaller than the sum of its proper divisors (26596829153700).

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

14023204331100 is a wasteful number, since it uses less digits than its factorization.

14023204331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16860 (or 16853 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14023204331100 its reverse (113340232041), we get a palindrome (14136544563141).

The spelling of 14023204331100 in words is "fourteen trillion, twenty-three billion, two hundred four million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1699 2111 3398 4222 5097 6333 6796 8444 8495 10194 10555 12666 13033 16990 20388 21110 25332 25485 26066 31665 33980 39099 42220 42475 50970 52132 52775 63330 65165 78198 84950 101940 105550 126660 127425 130330 156396 158325 169900 195495 211100 254850 260660 316650 325825 390990 509700 633300 651650 781980 977475 1303300 1954950 3586589 3909900 7173178 10759767 14346356 17932945 21519534 22143067 27512663 35865890 43039068 44286134 53798835 55025326 66429201 71731780 82537989 88572268 89664725 107597670 110050652 110715335 132858402 137563315 165075978 179329450 215195340 221430670 265716804 268994175 275126630 330151956 332146005 358658900 412689945 442861340 537988350 550253260 553576675 664292010 687816575 825379890 1075976700 1107153350 1328584020 1375633150 1650759780 1660730025 2063449725 2214306700 2751266300 3321460050 4126899450 6642920100 8253798900 46744014437 93488028874 140232043311 186976057748 233720072185 280464086622 467440144370 560928173244 701160216555 934880288740 1168600360925 1402320433110 2337200721850 2804640866220 3505801082775 4674401443700 7011602165550 14023204331100