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11340002240 = 265729174569
BaseRepresentation
bin10101000111110101…
…01011001111000000
31002021022012210121222
422203322223033000
5141211020032430
65113131334212
7551005300010
oct124372531700
932238183558
1011340002240
11489a154586
1222458b1368
1310b94bccc8
147980d7c40
154658509e5
hex2a3eab3c0

11340002240 has 112 divisors (see below), whose sum is σ = 31925361600. Its totient is φ = 3753910272.

The previous prime is 11340002197. The next prime is 11340002251. The reversal of 11340002240 is 4220004311.

11340002240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 22325 + ... + 152244.

Almost surely, 211340002240 is an apocalyptic number.

11340002240 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 11340002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15962680800).

11340002240 is an abundant number, since it is smaller than the sum of its proper divisors (20585359360).

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

11340002240 is a wasteful number, since it uses less digits than its factorization.

11340002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174622 (or 174612 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 11340002240 its reverse (4220004311), we get a palindrome (15560006551).

It can be divided in two parts, 1134000 and 2240, that multiplied together give a square (2540160000 = 504002).

The spelling of 11340002240 in words is "eleven billion, three hundred forty million, two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 140 145 160 203 224 232 280 290 320 406 448 464 560 580 812 928 1015 1120 1160 1624 1856 2030 2240 2320 3248 4060 4640 6496 8120 9280 12992 16240 32480 64960 174569 349138 698276 872845 1221983 1396552 1745690 2443966 2793104 3491380 4887932 5062501 5586208 6109915 6982760 9775864 10125002 11172416 12219830 13965520 19551728 20250004 24439660 25312505 27931040 35437507 39103456 40500008 48879320 50625010 55862080 70875014 78206912 81000016 97758640 101250020 141750028 162000032 177187535 195517280 202500040 283500056 324000064 354375070 391034560 405000080 567000112 708750140 810000160 1134000224 1417500280 1620000320 2268000448 2835000560 5670001120 11340002240