Search a number
-
+
1044603113643 = 331741251281787
BaseRepresentation
bin11110011001101110011…
…00101001000010101011
310200212022012001100211000
433030313030221002223
5114103321344114033
62115514542010043
7135320144651145
oct17146714510253
93625265040730
101044603113643
11373017252391
1214a54b576923
1377675bb868b
14387b80c1c95
151c28c408a13
hexf3373290ab

1044603113643 has 128 divisors (see below), whose sum is σ = 1693392583680. Its totient is φ = 633830400000.

The previous prime is 1044603113591. The next prime is 1044603113717. The reversal of 1044603113643 is 3463113064401.

1044603113643 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 6 + 0 + 3 + 1 + 1 + 3 + 643 = 666.

It is not a de Polignac number, because 1044603113643 - 217 = 1044602982571 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1044603113598 and 1044603113607.

It is not an unprimeable number, because it can be changed into a prime (1044603113843) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1327322496 + ... + 1327323282.

It is an arithmetic number, because the mean of its divisors is an integer number (13229629560).

Almost surely, 21044603113643 is an apocalyptic number.

1044603113643 is a deficient number, since it is larger than the sum of its proper divisors (648789470037).

1044603113643 is a wasteful number, since it uses less digits than its factorization.

1044603113643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1044603113643 in words is "one trillion, forty-four billion, six hundred three million, one hundred thirteen thousand, six hundred forty-three".

Divisors: 1 3 9 17 27 41 51 123 153 251 281 369 459 697 753 787 843 1107 2091 2259 2361 2529 4267 4777 6273 6777 7083 7587 10291 11521 12801 13379 14331 18819 21249 30873 32267 34563 38403 40137 42993 70531 92619 96801 103689 115209 120411 128979 174947 195857 197537 211593 221147 277857 290403 311067 361233 524841 548539 587571 592611 634779 663441 871209 1199027 1574523 1645617 1762713 1777833 1904337 1990323 2891771 3358129 3597081 3759499 4723569 4936851 5288139 5333499 5970969 8099017 8675313 9067027 10074387 10791243 11278497 14810553 24297051 26025939 27201081 30223161 32373729 33835491 49160107 55507897 72891153 78077817 81603243 90669483 101506473 137683289 147480321 154139459 166523691 218673459 244809729 413049867 442440963 462418377 499571073 943634249 1239149601 1327322889 1387255131 1498713219 2275823777 2830902747 3717448803 4161765393 6827471331 8492708241 20482413993 25478124723 38689004209 61447241979 116067012627 348201037881 1044603113643