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14130243131130 = 2335730724352831
BaseRepresentation
bin1100110110011111010000…
…0111110101011011111010
31212000211121221100112121000
43031213310013311123322
53323002214220144010
650015202153225430
72655606411611040
oct315476407653372
955024557315530
1014130243131130
114558669966835
121702651a02276
137b6626304849
1436bc9bd46390
1519786028a7c0
hexcd9f41f56fa

14130243131130 has 128 divisors (see below), whose sum is σ = 43203872194560. Its totient is φ = 3219249303360.

The previous prime is 14130243131099. The next prime is 14130243131153. The reversal of 14130243131130 is 3113134203141.

14130243131130 is a `hidden beast` number, since 1 + 4 + 1 + 302 + 4 + 313 + 11 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14130243131094 and 14130243131103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11596186 + ... + 12756645.

It is an arithmetic number, because the mean of its divisors is an integer number (337530251520).

Almost surely, 214130243131130 is an apocalyptic number.

14130243131130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14130243131130 is an abundant number, since it is smaller than the sum of its proper divisors (29073629063430).

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

14130243131130 is a wasteful number, since it uses less digits than its factorization.

14130243131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24353161 (or 24353155 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 14130243131130 its reverse (3113134203141), we get a palindrome (17243377334271).

The spelling of 14130243131130 in words is "fourteen trillion, one hundred thirty billion, two hundred forty-three million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 307 315 378 614 630 921 945 1535 1842 1890 2149 2763 3070 4298 4605 5526 6447 8289 9210 10745 12894 13815 16578 19341 21490 27630 32235 38682 41445 58023 64470 82890 96705 116046 193410 290115 580230 24352831 48705662 73058493 121764155 146116986 170469817 219175479 243528310 340939634 365292465 438350958 511409451 657526437 730584930 852349085 1022818902 1095877395 1315052874 1534228353 1704698170 2191754790 2557047255 3068456706 3287632185 4602685059 5114094510 6575264370 7476319117 7671141765 9205370118 14952638234 15342283530 22428957351 23013425295 37381595585 44857914702 46026850590 52334233819 67286872053 74763191170 104668467638 112144786755 134573744106 157002701457 201860616159 224289573510 261671169095 314005402914 336434360265 403721232318 471008104371 523342338190 672868720530 785013507285 942016208742 1009303080795 1413024313113 1570027014570 2018606161590 2355040521855 2826048626226 4710081043710 7065121565565 14130243131130