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14353768842 = 237219832373
BaseRepresentation
bin11010101111000110…
…10010000110001010
31101001100011000012020
431113203102012022
5213344031100332
610332151025310
71015462010400
oct152743220612
941040130166
1014353768842
1160a6367a86
12294706b236
1314799b465a
149a2485470
1559021382c
hex3578d218a

14353768842 has 144 divisors (see below), whose sum is σ = 35676099360. Its totient is φ = 3828129984.

The previous prime is 14353768841. The next prime is 14353768909. The reversal of 14353768842 is 24886735341.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14353768841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38481768 + ... + 38482140.

It is an arithmetic number, because the mean of its divisors is an integer number (247750690).

Almost surely, 214353768842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14353768842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17838049680).

14353768842 is an abundant number, since it is smaller than the sum of its proper divisors (21322330518).

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

14353768842 is a wasteful number, since it uses less digits than its factorization.

14353768842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 487 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The spelling of 14353768842 in words is "fourteen billion, three hundred fifty-three million, seven hundred sixty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 83 98 114 133 147 166 249 266 294 373 399 498 581 746 798 931 1119 1162 1577 1743 1862 2238 2611 2793 3154 3486 4067 4731 5222 5586 6889 7087 7833 8134 9462 11039 12201 13778 14174 15666 18277 20667 21261 22078 24402 30959 33117 36554 41334 42522 48223 49609 54831 61918 66234 77273 92877 96446 99218 109662 130891 144669 148827 154546 185754 216713 231819 261782 289338 297654 337561 347263 392673 433426 463638 588221 650139 675122 694526 785346 916237 1012683 1041789 1176442 1300278 1516991 1764663 1832474 2025366 2083578 2569597 2748711 3033982 3529326 4117547 4550973 5139194 5497422 6413659 7708791 8235094 9101946 12352641 12827318 15417582 17987179 19240977 24705282 28822829 35974358 38481954 48822343 53961537 57645658 86468487 97644686 107923074 125910253 146467029 172936974 251820506 292934058 341756401 377730759 683512802 755461518 1025269203 2050538406 2392294807 4784589614 7176884421 14353768842