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11014524440 = 2353179229491
BaseRepresentation
bin10100100001000010…
…00100111000011000
31001102121202211000122
422100201010320120
5140024204240230
65020543252412
7536643625103
oct122041047030
931377684018
1011014524440
114742459267
1221748aa108
131066c416aa
14766bb173a
15446eacbe5
hex290844e18

11014524440 has 128 divisors (see below), whose sum is σ = 26072064000. Its totient is φ = 4182796800.

The previous prime is 11014524439. The next prime is 11014524449. The reversal of 11014524440 is 4442541011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11014524449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22432595 + ... + 22433085.

It is an arithmetic number, because the mean of its divisors is an integer number (203688000).

Almost surely, 211014524440 is an apocalyptic number.

11014524440 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 11014524440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13036032000).

11014524440 is an abundant number, since it is smaller than the sum of its proper divisors (15057539560).

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

11014524440 is a wasteful number, since it uses less digits than its factorization.

11014524440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 837 counting only the distinct ones).

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

The spelling of 11014524440 in words is "eleven billion, fourteen million, five hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 79 124 155 158 229 248 310 316 395 458 491 620 632 790 916 982 1145 1240 1580 1832 1964 2290 2449 2455 3160 3928 4580 4898 4910 7099 9160 9796 9820 12245 14198 15221 18091 19592 19640 24490 28396 30442 35495 36182 38789 48980 56792 60884 70990 72364 76105 77578 90455 97960 112439 121768 141980 144728 152210 155156 180910 193945 224878 283960 304420 310312 361820 387890 449756 560821 562195 608840 723640 775780 899512 1121642 1124390 1202459 1551560 2243284 2248780 2404918 2804105 3485609 4486568 4497560 4809836 5608210 6012295 6971218 8882681 9619672 11216420 12024590 13942436 17428045 17765362 22432840 24049180 27884872 34856090 35530724 44413405 48098360 69712180 71061448 88826810 139424360 177653620 275363111 355307240 550726222 1101452444 1376815555 2202904888 2753631110 5507262220 11014524440