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14303122014240 = 2532531731333513
BaseRepresentation
bin1101000000100011010010…
…0000011100000000100000
31212122100212011110201220200
43100020310200130000200
53333320243213423430
650230432531505200
73004236461066313
oct320106440340040
955570764421820
1014303122014240
114614a1354a444
12173005a758200
137c9a17817a57
143763bc09897a
1519c0cc703460
hexd023481c020

14303122014240 has 144 divisors (see below), whose sum is σ = 48963378319128. Its totient is φ = 3802133680128.

The previous prime is 14303122014217. The next prime is 14303122014271. The reversal of 14303122014240 is 4241022130341.

14303122014240 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 31 + 2 + 201 + 424 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9147261509136 + 5155860505104 = 3024444^2 + 2270652^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15210277 + ... + 16123236.

Almost surely, 214303122014240 is an apocalyptic number.

14303122014240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14303122014240 is an abundant number, since it is smaller than the sum of its proper divisors (34660256304888).

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

14303122014240 is a wasteful number, since it uses less digits than its factorization.

14303122014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31333851 (or 31333840 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14303122014240 its reverse (4241022130341), we get a palindrome (18544144144581).

The spelling of 14303122014240 in words is "fourteen trillion, three hundred three billion, one hundred twenty-two million, fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 317 360 480 634 720 951 1268 1440 1585 1902 2536 2853 3170 3804 4755 5072 5706 6340 7608 9510 10144 11412 12680 14265 15216 19020 22824 25360 28530 30432 38040 45648 50720 57060 76080 91296 114120 152160 228240 456480 31333513 62667026 94000539 125334052 156667565 188001078 250668104 282001617 313335130 376002156 470002695 501336208 564003234 626670260 752004312 940005390 1002672416 1128006468 1253340520 1410008085 1504008624 1880010780 2256012936 2506681040 2820016170 3008017248 3760021560 4512025872 5013362080 5640032340 7520043120 9024051744 9932723621 11280064680 15040086240 19865447242 22560129360 29798170863 39730894484 45120258720 49663618105 59596341726 79461788968 89394512589 99327236210 119192683452 148990854315 158923577936 178789025178 198654472420 238385366904 297981708630 317847155872 357578050356 397308944840 446972562945 476770733808 595963417260 715156100712 794617889680 893945125890 953541467616 1191926834520 1430312201424 1589235779360 1787890251780 2383853669040 2860624402848 3575780503560 4767707338080 7151561007120 14303122014240