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11342022240 = 253523998867
BaseRepresentation
bin10101001000000100…
…11000011001100000
31002021110000102112210
422210002120121200
5141212024202430
65113242522120
7551031412143
oct124402303140
932243012483
1011342022240
1148a03041aa
122246506340
1310b9a49583
147984a205a
15465aee2b0
hex2a4098660

11342022240 has 96 divisors (see below), whose sum is σ = 35877219840. Its totient is φ = 3011853824.

The previous prime is 11342022233. The next prime is 11342022259. The reversal of 11342022240 is 4222024311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65287 + ... + 164153.

It is an arithmetic number, because the mean of its divisors is an integer number (373721040).

Almost surely, 211342022240 is an apocalyptic number.

11342022240 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 11342022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17938609920).

11342022240 is an abundant number, since it is smaller than the sum of its proper divisors (24535197600).

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

11342022240 is a wasteful number, since it uses less digits than its factorization.

11342022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99124 (or 99116 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 11342022240 its reverse (4222024311), we get a palindrome (15564046551).

The spelling of 11342022240 in words is "eleven billion, three hundred forty-two million, twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 239 240 478 480 717 956 1195 1434 1912 2390 2868 3585 3824 4780 5736 7170 7648 9560 11472 14340 19120 22944 28680 38240 57360 98867 114720 197734 296601 395468 494335 593202 790936 988670 1186404 1483005 1581872 1977340 2372808 2966010 3163744 3954680 4745616 5932020 7909360 9491232 11864040 15818720 23629213 23728080 47258426 47456160 70887639 94516852 118146065 141775278 189033704 236292130 283550556 354438195 378067408 472584260 567101112 708876390 756134816 945168520 1134202224 1417752780 1890337040 2268404448 2835505560 3780674080 5671011120 11342022240