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14454771984 = 24324322332
BaseRepresentation
bin11010111011001001…
…00101000100010000
31101022101012111110100
431131210211010100
5214100410200414
610350155532400
71021126351242
oct153544450420
941271174410
1014454771984
116148384154
122974a5a100
1314948b9923
149b1a58092
15599015609
hex35d925110

14454771984 has 135 divisors (see below), whose sum is σ = 41594451717. Its totient is φ = 4686006528.

The previous prime is 14454771979. The next prime is 14454771997. The reversal of 14454771984 is 48917745441.

The square root of 14454771984 is 120228.

It is a perfect power (a square), and thus also a powerful number.

14454771984 is a `hidden beast` number, since 1 + 4 + 4 + 547 + 7 + 1 + 98 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2935472400 + 11519299584 = 54180^2 + 107328^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14454771984.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62037532 + ... + 62037764.

Almost surely, 214454771984 is an apocalyptic number.

14454771984 is the 120228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14454771984

14454771984 is an abundant number, since it is smaller than the sum of its proper divisors (27139679733).

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

14454771984 is an equidigital number, since it uses as much as digits as its factorization.

14454771984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 281 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 14454771984 in words is "fourteen billion, four hundred fifty-four million, seven hundred seventy-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 233 258 344 387 466 516 688 699 774 932 1032 1398 1548 1849 1864 2064 2097 2796 3096 3698 3728 4194 5547 5592 6192 7396 8388 10019 11094 11184 14792 16641 16776 20038 22188 29584 30057 33282 33552 40076 44376 54289 60114 66564 80152 88752 90171 108578 120228 133128 160304 162867 180342 217156 240456 266256 325734 360684 430817 434312 480912 488601 651468 721368 861634 868624 977202 1292451 1302936 1442736 1723268 1954404 2334427 2584902 2605872 3446536 3877353 3908808 4668854 5169804 6893072 7003281 7754706 7817616 9337708 10339608 14006562 15509412 18675416 20679216 21009843 28013124 31018824 37350832 42019686 56026248 62037648 84039372 100380361 112052496 168078744 200760722 301141083 336157488 401521444 602282166 803042888 903423249 1204564332 1606085776 1806846498 2409128664 3613692996 4818257328 7227385992 14454771984