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11341114720 = 2551315136109
BaseRepresentation
bin10101000111111101…
…11010110101100000
31002021101022022122221
422203332322311200
5141211311132340
65113211240424
7551020612255
oct124376726540
932241268587
1011341114720
11489a844391
122246149114
1310b97bc490
1479830742c
154659c044a
hex2a3fbad60

11341114720 has 96 divisors (see below), whose sum is σ = 29046306240. Its totient is φ = 4159641600.

The previous prime is 11341114717. The next prime is 11341114721. The reversal of 11341114720 is 2741114311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11341114721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296026 + ... + 332134.

It is an arithmetic number, because the mean of its divisors is an integer number (302565690).

Almost surely, 211341114720 is an apocalyptic number.

11341114720 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 11341114720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14523153120).

11341114720 is an abundant number, since it is smaller than the sum of its proper divisors (17705191520).

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

11341114720 is a wasteful number, since it uses less digits than its factorization.

11341114720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36288 (or 36280 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The spelling of 11341114720 in words is "eleven billion, three hundred forty-one million, one hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 151 160 208 260 302 416 520 604 755 1040 1208 1510 1963 2080 2416 3020 3926 4832 6040 7852 9815 12080 15704 19630 24160 31408 36109 39260 62816 72218 78520 144436 157040 180545 288872 314080 361090 469417 577744 722180 938834 1155488 1444360 1877668 2347085 2888720 3755336 4694170 5452459 5777440 7510672 9388340 10904918 15021344 18776680 21809836 27262295 37553360 43619672 54524590 70881967 75106720 87239344 109049180 141763934 174478688 218098360 283527868 354409835 436196720 567055736 708819670 872393440 1134111472 1417639340 2268222944 2835278680 5670557360 11341114720