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1104323553424 = 247213228872
BaseRepresentation
bin10000000100011110110…
…100000010100010010000
310220120110012121001001001
4100010132310002202100
5121043123312202144
62203152542151344
7142533111216400
oct20043664024220
93816405531031
101104323553424
11396382946743
1215a037882554
13801a2753400
143b6417a2800
151dad5338bd4
hex1011ed02890

1104323553424 has 135 divisors (see below), whose sum is σ = 2696073105177. Its totient is φ = 436723926912.

The previous prime is 1104323553407. The next prime is 1104323553479. The reversal of 1104323553424 is 4243553234011.

The square root of 1104323553424 is 1050868.

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., 163361472400 + 940962081024 = 404180^2 + 970032^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 382514509 + ... + 382517395.

Almost surely, 21104323553424 is an apocalyptic number.

1104323553424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1104323553424 is the 1050868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104323553424

1104323553424 is an abundant number, since it is smaller than the sum of its proper divisors (1591749551753).

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

1104323553424 is an frugal number, since it uses more digits than its factorization.

1104323553424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5822 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 1104323553424 its reverse (4243553234011), we get a palindrome (5347876787435).

The spelling of 1104323553424 in words is "one trillion, one hundred four billion, three hundred twenty-three million, five hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 637 676 728 784 1183 1274 1352 1456 2366 2548 2704 2887 4732 5096 5774 8281 9464 10192 11548 16562 18928 20209 23096 33124 37531 40418 46192 66248 75062 80836 132496 141463 150124 161672 262717 282926 300248 323344 487903 525434 565852 600496 975806 1050868 1131704 1839019 1951612 2101736 2263408 3415321 3678038 3903224 4203472 6830642 7356076 7806448 8334769 13661284 14712152 16669538 23907247 27322568 29424304 33339076 47814494 54645136 58343383 66678152 95628988 108351997 116686766 133356304 191257976 216703994 233373532 382515952 408403681 433407988 466747064 758463979 816807362 866815976 933494128 1408575961 1516927958 1633614724 1733631952 2817151922 3033855916 3267229448 5309247853 5634303844 6067711832 6534458896 9860031727 10618495706 11268607688 12135423664 19720063454 21236991412 22537215376 39440126908 42473982824 69020222089 78880253816 84947965648 138040444178 157760507632 276080888356 552161776712 1104323553424