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1104304133040 = 243519277874267
BaseRepresentation
bin10000000100011101101…
…001111101001110110000
310220120101212001101021120
4100010131221331032300
5121043103324224130
62203151010022240
7142532454153243
oct20043551751660
93816355041246
101104304133040
11396372991939
1215a031277980
138019b713a64
143b63cd8925a
151dad379e910
hex1011da7d3b0

1104304133040 has 160 divisors (see below), whose sum is σ = 3616531979520. Its totient is φ = 277974623232.

The previous prime is 1104304133029. The next prime is 1104304133057. The reversal of 1104304133040 is 403314034011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1104304133040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 825987 + ... + 1700253.

It is an arithmetic number, because the mean of its divisors is an integer number (22603324872).

Almost surely, 21104304133040 is an apocalyptic number.

1104304133040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104304133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808265989760).

1104304133040 is an abundant number, since it is smaller than the sum of its proper divisors (2512227846480).

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

1104304133040 is a wasteful number, since it uses less digits than its factorization.

1104304133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874579 (or 874573 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1104304133040 its reverse (403314034011), we get a palindrome (1507618167051).

The spelling of 1104304133040 in words is "one trillion, one hundred four billion, three hundred four million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 277 285 304 380 456 554 570 760 831 912 1108 1140 1385 1520 1662 2216 2280 2770 3324 4155 4432 4560 5263 5540 6648 8310 10526 11080 13296 15789 16620 21052 22160 26315 31578 33240 42104 52630 63156 66480 78945 84208 105260 126312 157890 210520 252624 315780 421040 631560 874267 1263120 1748534 2622801 3497068 4371335 5245602 6994136 8742670 10491204 13114005 13988272 16611073 17485340 20982408 26228010 33222146 34970680 41964816 49833219 52456020 66444292 69941360 83055365 99666438 104912040 132888584 166110730 199332876 209824080 242171959 249166095 265777168 332221460 398665752 484343918 498332190 664442920 726515877 797331504 968687836 996664380 1210859795 1328885840 1453031754 1937375672 1993328760 2421719590 2906063508 3632579385 3874751344 3986657520 4601267221 4843439180 5812127016 7265158770 9202534442 9686878360 11624254032 13803801663 14530317540 18405068884 19373756720 23006336105 27607603326 29060635080 36810137768 46012672210 55215206652 58121270160 69019008315 73620275536 92025344420 110430413304 138038016630 184050688840 220860826608 276076033260 368101377680 552152066520 1104304133040