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1034440003410 = 235113797187251
BaseRepresentation
bin11110000110110010110…
…11011100111101010010
310122220001220100212111220
433003121123130331102
5113422013120102120
62111114251145510
7134510246644152
oct17033133347522
93586056325456
101034440003410
11369781461230
12148593a45296
137671648bb98
14380d2420762
151bd9507bb40
hexf0d96dcf52

1034440003410 has 128 divisors (see below), whose sum is σ = 2784447249408. Its totient is φ = 243741600000.

The previous prime is 1034440003349. The next prime is 1034440003451. The reversal of 1034440003410 is 143000444301.

It is a super-2 number, since 2×10344400034102 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11812285 + ... + 11899535.

It is an arithmetic number, because the mean of its divisors is an integer number (21753494136).

Almost surely, 21034440003410 is an apocalyptic number.

1034440003410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034440003410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392223624704).

1034440003410 is an abundant number, since it is smaller than the sum of its proper divisors (1750007245998).

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

1034440003410 is a wasteful number, since it uses less digits than its factorization.

1034440003410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88280.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1034440003410 its reverse (143000444301), we get a palindrome (1177440447711).

The spelling of 1034440003410 in words is "one trillion, thirty-four billion, four hundred forty million, three thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 971 1110 1221 1942 2035 2442 2913 4070 4855 5826 6105 9710 10681 12210 14565 21362 29130 32043 35927 53405 64086 71854 87251 106810 107781 160215 174502 179635 215562 261753 320430 359270 395197 436255 523506 538905 790394 872510 959761 1077810 1185591 1308765 1919522 1975985 2371182 2617530 2879283 3228287 3951970 4798805 5758566 5927955 6456574 9597610 9684861 11855910 14396415 16141435 19369722 28792830 32282870 35511157 48424305 71022314 84720721 96848610 106533471 169441442 177555785 213066942 254162163 355111570 423603605 508324326 532667355 847207210 931927931 1065334710 1270810815 1863855862 2541621630 2795783793 3134666677 4659639655 5591567586 6269333354 9319279310 9404000031 13978918965 15673333385 18808000062 27957837930 31346666770 34481333447 47020000155 68962666894 94040000310 103444000341 172406667235 206888000682 344813334470 517220001705 1034440003410