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14201002331340 = 22351137215717071
BaseRepresentation
bin1100111010100110110110…
…1100110000110011001100
31212021121021021021100100220
43032221231230300303030
53330132123044100330
650111503404351340
72663663035105266
oct316515554606314
955247237240326
1014201002331340
11458567a6621a0
1217142bab45550
137c01c1b18496
14371491706b36
15199602364710
hexcea6db30ccc

14201002331340 has 144 divisors (see below), whose sum is σ = 44581663332864. Its totient is φ = 3349621958400.

The previous prime is 14201002331323. The next prime is 14201002331381. The reversal of 14201002331340 is 4313320010241.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14201002331340.

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, 6954996 + ... + 8762075.

It is an arithmetic number, because the mean of its divisors is an integer number (309594884256).

Almost surely, 214201002331340 is an apocalyptic number.

14201002331340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14201002331340 is an abundant number, since it is smaller than the sum of its proper divisors (30380661001524).

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

14201002331340 is a wasteful number, since it uses less digits than its factorization.

14201002331340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15717168 (or 15717129 counting only the distinct ones).

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

Adding to 14201002331340 its reverse (4313320010241), we get a palindrome (18514322341581).

The spelling of 14201002331340 in words is "fourteen trillion, two hundred one billion, two million, three hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1369 1628 2035 2220 2442 2738 4070 4107 4884 5476 6105 6845 8140 8214 12210 13690 15059 16428 20535 24420 27380 30118 41070 45177 60236 75295 82140 90354 150590 180708 225885 301180 451770 903540 15717071 31434142 47151213 62868284 78585355 94302426 157170710 172887781 188604852 235756065 314341420 345775562 471512130 518663343 581531627 691551124 864438905 943024260 1037326686 1163063254 1728877810 1744594881 2074653372 2326126508 2593316715 2907658135 3457755620 3489189762 5186633430 5815316270 6396847897 6978379524 8722974405 10373266860 11630632540 12793695794 17445948810 19190543691 21516670199 25587391588 31984239485 34891897620 38381087382 43033340398 63968478970 64550010597 76762174764 86066680796 95952718455 107583350995 127936957940 129100021194 191905436910 215166701990 236683372189 258200042388 322750052985 383810873820 430333403980 473366744378 645500105970 710050116567 946733488756 1183416860945 1291000211940 1420100233134 2366833721890 2840200466268 3550250582835 4733667443780 7100501165670 14201002331340