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14491363253940 = 22325457363748437
BaseRepresentation
bin1101001011100000100010…
…0011110001111010110100
31220022100202000120111201100
43102320020203301322310
53344411302443111230
650453123530530100
73023652330164316
oct322701043617264
956270660514640
1014491363253940
114687830849a21
121760634296930
138116b69685a1
143815585d77b6
151a1e486aa660
hexd2e088f1eb4

14491363253940 has 144 divisors (see below), whose sum is σ = 44066343786192. Its totient is φ = 3854767822848.

The previous prime is 14491363253929. The next prime is 14491363253993. The reversal of 14491363253940 is 4935236319441.

14491363253940 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 1 + 3 + 63 + 2 + 539 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 725096528676 + 13766266725264 = 851526^2 + 3710292^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299155402 + ... + 299203838.

It is an arithmetic number, because the mean of its divisors is an integer number (306016276293).

Almost surely, 214491363253940 is an apocalyptic number.

14491363253940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14491363253940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22033171893096).

14491363253940 is an abundant number, since it is smaller than the sum of its proper divisors (29574980532252).

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

14491363253940 is a wasteful number, since it uses less digits than its factorization.

14491363253940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52546 (or 52541 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 14491363253940 in words is "fourteen trillion, four hundred ninety-one billion, three hundred sixty-three million, two hundred fifty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 457 914 1371 1828 2285 2742 3637 4113 4570 5484 6855 7274 8226 9140 10911 13710 14548 16452 18185 20565 21822 27420 32733 36370 41130 43644 48437 54555 65466 72740 82260 96874 109110 130932 145311 163665 193748 218220 242185 290622 327330 435933 484370 581244 654660 726555 871866 968740 1453110 1662109 1743732 2179665 2906220 3324218 4359330 4986327 6648436 8310545 8718660 9972654 14958981 16621090 19945308 22135709 24931635 29917962 33242180 44271418 49863270 59835924 66407127 74794905 88542836 99726540 110678545 132814254 149589810 176165369 199221381 221357090 265628508 299179620 332035635 352330738 398442762 442714180 528496107 664071270 704661476 796885524 880826845 996106905 1056992214 1328142540 1585488321 1761653690 1992213810 2113984428 2642480535 3170976642 3523307380 3984427620 5284961070 6341953284 7927441605 10569922140 15854883210 31709766420 80507573633 161015147266 241522720899 322030294532 402537868165 483045441798 724568162697 805075736330 966090883596 1207613604495 1449136325394 1610151472660 2415227208990 2898272650788 3622840813485 4830454417980 7245681626970 14491363253940