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11344342240 = 255711920807
BaseRepresentation
bin10101001000010110…
…01110110011100000
31002021121101021222201
422210023032303200
5141213122422430
65113404342544
7551060214040
oct124413166340
932247337881
1011344342240
1148a1649260
122247244a54
1310ba37c55a
14798907720
15465e0b8ca
hex2a42cece0

11344342240 has 96 divisors (see below), whose sum is σ = 33414280704. Its totient is φ = 3535895040.

The previous prime is 11344342223. The next prime is 11344342241. The reversal of 11344342240 is 4224344311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11344342199 and 11344342208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344342241) 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, 448084 + ... + 472723.

It is an arithmetic number, because the mean of its divisors is an integer number (348065424).

Almost surely, 211344342240 is an apocalyptic number.

11344342240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11344342240 is an abundant number, since it is smaller than the sum of its proper divisors (22069938464).

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

11344342240 is a wasteful number, since it uses less digits than its factorization.

11344342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920840 (or 920832 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 11344342240 its reverse (4224344311), we get a palindrome (15568686551).

The spelling of 11344342240 in words is "eleven billion, three hundred forty-four million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 12320 920807 1841614 3683228 4604035 6445649 7366456 9208070 10128877 12891298 14732912 18416140 20257754 25782596 29465824 32228245 36832280 40515508 50644385 51565192 64456490 70902139 73664560 81031016 101288770 103130384 128912980 141804278 147329120 162062032 202577540 206260768 257825960 283608556 324124064 354510695 405155080 515651920 567217112 709021390 810310160 1031303840 1134434224 1418042780 1620620320 2268868448 2836085560 5672171120 11344342240