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12014411141430 = 23257111939157483
BaseRepresentation
bin1010111011010101001010…
…1101010101000100110110
31120112120021222011221101100
42232311102231111010312
53033321003223011210
641315202210510530
72350004210465055
oct256652255250466
946476258157340
1012014411141430
113912312968745
121420581b95446
13691c532412c9
142d770191a39c
1515c7c81b85c0
hexaed52b55136

12014411141430 has 96 divisors (see below), whose sum is σ = 31680287758080. Its totient is φ = 3158433794880.

The previous prime is 12014411141417. The next prime is 12014411141489. The reversal of 12014411141430 is 3414111441021.

12014411141430 is a `hidden beast` number, since 1 + 201 + 4 + 4 + 1 + 11 + 414 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12014411141394 and 12014411141403.

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, 76211469 + ... + 76368951.

It is an arithmetic number, because the mean of its divisors is an integer number (330002997480).

Almost surely, 212014411141430 is an apocalyptic number.

12014411141430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12014411141430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15840143879040).

12014411141430 is an abundant number, since it is smaller than the sum of its proper divisors (19665876616650).

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

12014411141430 is a wasteful number, since it uses less digits than its factorization.

12014411141430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169506 (or 169503 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 12014411141430 its reverse (3414111441021), we get a palindrome (15428522582451).

The spelling of 12014411141430 in words is "twelve trillion, fourteen billion, four hundred eleven million, one hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 6390 11939 23878 35817 59695 71634 107451 119390 157483 179085 214902 314966 358170 472449 537255 787415 847669 944898 1074510 1417347 1574830 1695338 2362245 2543007 2834694 4238345 4724490 5086014 7086735 7629021 8476690 11181293 12715035 14173470 15258042 22362586 25430070 33543879 38145105 55906465 67087758 76290210 100631637 111812930 167719395 201263274 335438790 503158185 1006316370 1880189537 3760379074 5640568611 9400947685 11281137222 16921705833 18801895370 28202843055 33843411666 56405686110 84608529165 133493457127 169217058330 266986914254 400480371381 667467285635 800960742762 1201441114143 1334934571270 2002401856905 2402882228286 4004803713810 6007205570715 12014411141430