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1021943071744 = 2107245132
BaseRepresentation
bin11101101111100001000…
…11011100010000000000
310121200210222011222001221
432313300203130100000
5113220414411243434
62101250230404424
7133555462533100
oct16676043342000
93550728158057
101021943071744
11364449249531
12146086800714
13754a43a7a6a
1437668809200
151b8b2d9c2b4
hexedf08dc400

1021943071744 has 99 divisors (see below), whose sum is σ = 2376947600757. Its totient is φ = 437878554624.

The previous prime is 1021943071733. The next prime is 1021943071783. The reversal of 1021943071744 is 4471703491201.

The square root of 1021943071744 is 1010912.

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

It can be written as a sum of positive squares in only one way, i.e., 452838400 + 1021490233344 = 21280^2 + 1010688^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1021943071744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 226442032 + ... + 226446544.

Almost surely, 21021943071744 is an apocalyptic number.

1021943071744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1021943071744 is the 1010912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021943071744

1021943071744 is an abundant number, since it is smaller than the sum of its proper divisors (1355004529013).

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

1021943071744 is an frugal number, since it uses more digits than its factorization.

1021943071744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9060 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 1021943071744 in words is "one trillion, twenty-one billion, nine hundred forty-three million, seventy-one thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 3136 3584 4513 6272 7168 9026 12544 18052 25088 31591 36104 50176 63182 72208 126364 144416 221137 252728 288832 442274 505456 577664 884548 1010912 1155328 1769096 2021824 2310656 3538192 4043648 4621312 7076384 8087296 14152768 16174592 20367169 28305536 32349184 40734338 56611072 81468676 113222144 142570183 162937352 226444288 285140366 325874704 570280732 651749408 997991281 1140561464 1303498816 1995982562 2281122928 2606997632 3991965124 4562245856 5213995264 7983930248 9124491712 10427990528 15967860496 18248983424 20855981056 31935720992 36497966848 63871441984 72995933696 127742883968 145991867392 255485767936 510971535872 1021943071744