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11114422440 = 23351116675051
BaseRepresentation
bin10100101100111100…
…01010000010101000
31001200120202011022120
422112132022002220
5140230243004230
65034512351240
7542266013652
oct122636120250
931616664276
1011114422440
1147938900a0
1221a2245520
13108184a934
147761776d2
15450b42310
hex29678a0a8

11114422440 has 128 divisors (see below), whose sum is σ = 36403499520. Its totient is φ = 2692256000.

The previous prime is 11114422421. The next prime is 11114422441. The reversal of 11114422440 is 4422441111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11114422440.

It is not an unprimeable number, because it can be changed into a prime (11114422441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2197915 + ... + 2202965.

It is an arithmetic number, because the mean of its divisors is an integer number (284402340).

Almost surely, 211114422440 is an apocalyptic number.

11114422440 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 11114422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201749760).

11114422440 is an abundant number, since it is smaller than the sum of its proper divisors (25289077080).

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

11114422440 is a wasteful number, since it uses less digits than its factorization.

11114422440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6743 (or 6739 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 11114422440 its reverse (4422441111), we get a palindrome (15536863551).

The spelling of 11114422440 in words is "eleven billion, one hundred fourteen million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1667 3334 5001 5051 6668 8335 10002 10102 13336 15153 16670 18337 20004 20204 25005 25255 30306 33340 36674 40008 40408 50010 50510 55011 55561 60612 66680 73348 75765 91685 100020 101020 110022 111122 121224 146696 151530 166683 183370 200040 202040 220044 222244 275055 277805 303060 333366 366740 440088 444488 550110 555610 606120 666732 733480 833415 1100220 1111220 1333464 1666830 2200440 2222440 3333660 6667320 8420017 16840034 25260051 33680068 42100085 50520102 67360136 84200170 92620187 101040204 126300255 168400340 185240374 202080408 252600510 277860561 336800680 370480748 463100935 505201020 555721122 740961496 926201870 1010402040 1111442244 1389302805 1852403740 2222884488 2778605610 3704807480 5557211220 11114422440