Search a number
-
+
1044223126224 = 243237916373453
BaseRepresentation
bin11110011001000001000…
…11000110101011010000
310200211022201001000001220
433030200203012223100
5114102032110014344
62115413125325040
7135304552060125
oct17144043065320
93624281030056
101044223126224
113729418061a3
1214a464266780
1377615263155
143877d84a74c
151c268d99c19
hexf3208c6ad0

1044223126224 has 160 divisors (see below), whose sum is σ = 2868020244480. Its totient is φ = 326705094144.

The previous prime is 1044223126211. The next prime is 1044223126253. The reversal of 1044223126224 is 4226213224401.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 14179482 + ... + 14252934.

It is an arithmetic number, because the mean of its divisors is an integer number (17925126528).

Almost surely, 21044223126224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044223126224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434010122240).

1044223126224 is an abundant number, since it is smaller than the sum of its proper divisors (1823797118256).

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

1044223126224 is a wasteful number, since it uses less digits than its factorization.

1044223126224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73729 (or 73723 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 1044223126224 in words is "one trillion, forty-four billion, two hundred twenty-three million, one hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 79 92 138 158 163 184 237 276 316 326 368 474 489 552 632 652 948 978 1104 1264 1304 1817 1896 1956 2608 3634 3749 3792 3912 5451 7268 7498 7824 10902 11247 12877 14536 14996 21804 22494 25754 29072 29992 38631 43608 44988 51508 59984 73453 77262 87216 89976 103016 146906 154524 179952 206032 220359 293812 296171 309048 440718 587624 592342 618096 881436 888513 1175248 1184684 1689419 1762872 1777026 2369368 3378838 3525744 3554052 4738736 5068257 5802787 6757676 7108104 10136514 11605574 11972839 13515352 14216208 17408361 20273028 23211148 23945678 27030704 34816722 35918517 40546056 46422296 47891356 69633444 71837034 81092112 92844592 95782712 133464101 139266888 143674068 191565424 266928202 275375297 278533776 287348136 400392303 533856404 550750594 574696272 800784606 826125891 945854281 1067712808 1101501188 1601569212 1652251782 1891708562 2135425616 2203002376 2837562843 3203138424 3304503564 3783417124 4406004752 5675125686 6406276848 6609007128 7566834248 11350251372 13218014256 15133668496 21754648463 22700502744 43509296926 45401005488 65263945389 87018593852 130527890778 174037187704 261055781556 348074375408 522111563112 1044223126224