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11240341400 = 2352478314407
BaseRepresentation
bin10100111011111100…
…11111111110011000
31002000100200111122202
422131332133332120
5141010011411100
65055211305332
7545355216431
oct123576377630
932010614582
1011240341400
114848974952
12221844b248
1310a19679b2
14788b94488
1545bc167d5
hex29df9ff98

11240341400 has 96 divisors (see below), whose sum is σ = 27013271040. Its totient is φ = 4347154560.

The previous prime is 11240341393. The next prime is 11240341451. The reversal of 11240341400 is 414304211.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 772997 + ... + 787403.

It is an arithmetic number, because the mean of its divisors is an integer number (281388240).

Almost surely, 211240341400 is an apocalyptic number.

11240341400 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 11240341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13506635520).

11240341400 is an abundant number, since it is smaller than the sum of its proper divisors (15772929640).

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

11240341400 is a wasteful number, since it uses less digits than its factorization.

11240341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14553 (or 14544 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11240341400 its reverse (414304211), we get a palindrome (11654645611).

The spelling of 11240341400 in words is "eleven billion, two hundred forty million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 83 94 100 166 188 200 235 332 376 415 470 664 830 940 1175 1660 1880 2075 2350 3320 3901 4150 4700 7802 8300 9400 14407 15604 16600 19505 28814 31208 39010 57628 72035 78020 97525 115256 144070 156040 195050 288140 360175 390100 576280 677129 720350 780200 1195781 1354258 1440700 2391562 2708516 2881400 3385645 4783124 5417032 5978905 6771290 9566248 11957810 13542580 16928225 23915620 27085160 29894525 33856450 47831240 56201707 59789050 67712900 112403414 119578100 135425800 224806828 239156200 281008535 449613656 562017070 1124034140 1405042675 2248068280 2810085350 5620170700 11240341400