Search a number
-
+
1403304144440 = 23511101163193727
BaseRepresentation
bin10100011010111011011…
…100011110111000111000
311222011011200022201112212
4110122323130132320320
5140442431330110230
62552400301554252
7203246120263142
oct24327334367070
94864150281485
101403304144440
114a1157672980
121a7b77875988
13a243c30a723
144bcc5383c92
1526783280895
hex146bb71ee38

1403304144440 has 128 divisors (see below), whose sum is σ = 3499936542720. Its totient is φ = 502137792000.

The previous prime is 1403304144383. The next prime is 1403304144457. The reversal of 1403304144440 is 444414033041.

It is a junction number, because it is equal to n+sod(n) for n = 1403304144397 and 1403304144406.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 7146857 + ... + 7340583.

It is an arithmetic number, because the mean of its divisors is an integer number (27343254240).

Almost surely, 21403304144440 is an apocalyptic number.

1403304144440 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 1403304144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749968271360).

1403304144440 is an abundant number, since it is smaller than the sum of its proper divisors (2096632398280).

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

1403304144440 is a wasteful number, since it uses less digits than its factorization.

1403304144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194013 (or 194009 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 1403304144440 its reverse (444414033041), we get a palindrome (1847718177481).

The spelling of 1403304144440 in words is "one trillion, four hundred three billion, three hundred four million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 163 202 220 326 404 440 505 652 808 815 1010 1111 1304 1630 1793 2020 2222 3260 3586 4040 4444 5555 6520 7172 8888 8965 11110 14344 16463 17930 22220 32926 35860 44440 65852 71720 82315 131704 164630 181093 193727 329260 362186 387454 658520 724372 774908 905465 968635 1448744 1549816 1810930 1937270 2130997 3621860 3874540 4261994 7243720 7749080 8523988 10654985 17047976 19566427 21309970 31577501 39132854 42619940 63155002 78265708 85239880 97832135 126310004 156531416 157887505 195664270 215230697 252620008 315775010 347352511 391328540 430461394 631550020 694705022 782657080 860922788 1076153485 1263100040 1389410044 1721845576 1736762555 2152306970 2778820088 3189327601 3473525110 4304613940 6378655202 6947050220 8609227880 12757310404 13894100440 15946638005 25514620808 31893276010 35082603611 63786552020 70165207222 127573104040 140330414444 175413018055 280660828888 350826036110 701652072220 1403304144440