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11124452240 = 24511113111871
BaseRepresentation
bin10100101110001000…
…11010101110010000
31001201021121201121122
422113010122232100
5140240324432430
65035511341412
7542450166236
oct122704325620
931637551548
1011124452240
114799510690
1221a5681868
13108394cc25
14777628956
15451973ee5
hex29711ab90

11124452240 has 80 divisors (see below), whose sum is σ = 28465606656. Its totient is φ = 4009420800.

The previous prime is 11124452233. The next prime is 11124452243. The reversal of 11124452240 is 4225442111.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11124452243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43505 + ... + 155375.

Almost surely, 211124452240 is an apocalyptic number.

11124452240 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 11124452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14232803328).

11124452240 is an abundant number, since it is smaller than the sum of its proper divisors (17341154416).

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

11124452240 is a wasteful number, since it uses less digits than its factorization.

11124452240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112008 (or 112002 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 11124452240 its reverse (4225442111), we get a palindrome (15349894351).

It can be divided in two parts, 11124 and 452240, that added together give a palindrome (463364).

The spelling of 11124452240 in words is "eleven billion, one hundred twenty-four million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 113 176 220 226 440 452 565 880 904 1130 1243 1808 2260 2486 4520 4972 6215 9040 9944 12430 19888 24860 49720 99440 111871 223742 447484 559355 894968 1118710 1230581 1789936 2237420 2461162 4474840 4922324 6152905 8949680 9844648 12305810 12641423 19689296 24611620 25282846 49223240 50565692 63207115 98446480 101131384 126414230 139055653 202262768 252828460 278111306 505656920 556222612 695278265 1011313840 1112445224 1390556530 2224890448 2781113060 5562226120 11124452240