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14221331440112 = 2453197349353691
BaseRepresentation
bin1100111011110010100101…
…1010001010000111110000
31212100112202001002001222102
43032330221122022013300
53331000241322040422
650125104531555532
72665312564506056
oct316745132120760
955315661061872
1014221331440112
114593261937535
12171823315bba8
137c20b1743324
1437245d5bc1d6
15199de1e3e192
hexcef2968a1f0

14221331440112 has 160 divisors (see below), whose sum is σ = 28418296737600. Its totient is φ = 6891605360640.

The previous prime is 14221331440103. The next prime is 14221331440157. The reversal of 14221331440112 is 21104413312241.

14221331440112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20580797687 + ... + 20580798377.

It is an arithmetic number, because the mean of its divisors is an integer number (177614354610).

Almost surely, 214221331440112 is an apocalyptic number.

It is an amenable number.

14221331440112 is a deficient number, since it is larger than the sum of its proper divisors (14196965297488).

14221331440112 is a wasteful number, since it uses less digits than its factorization.

14221331440112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 14221331440112 its reverse (21104413312241), we get a palindrome (35325744752353).

The spelling of 14221331440112 in words is "fourteen trillion, two hundred twenty-one billion, three hundred thirty-one million, four hundred forty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 53 106 197 212 349 353 394 424 691 698 706 788 848 1382 1396 1412 1576 2764 2792 2824 3152 5528 5584 5648 10441 11056 18497 18709 20882 36623 36994 37418 41764 68753 69541 73246 73988 74836 83528 123197 136127 137506 139082 146492 147976 149672 167056 241159 243923 246394 272254 275012 278164 292984 295952 299344 482318 487846 492788 544508 550024 556328 585968 964636 975692 985576 1089016 1100048 1112656 1929272 1951384 1971152 2178032 3643909 3685673 3858544 3902768 6529441 7214731 7287818 7371346 12781427 12927919 13058882 14429462 14575636 14742692 24269809 25562854 25855838 26117764 28858924 29151272 29485384 47508323 48052831 48539618 51125708 51711676 52235528 57717848 58302544 58970768 85129127 95016646 96105662 97079236 102251416 103423352 104471056 115435696 170258254 190033292 192211324 194158472 204502832 206846704 340516508 380066584 384422648 388316944 681033016 760133168 768845296 1286299877 1362066032 2517941119 2546800043 2572599754 4511843731 5035882238 5093600086 5145199508 9023687462 10071764476 10187200172 10290399016 16770438019 18047374924 20143528952 20374400344 20580798032 33540876038 36094749848 40287057904 40748800688 67081752076 72189499696 134163504152 268327008304 888833215007 1777666430014 3555332860028 7110665720056 14221331440112