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11141442422352 = 24321127672542009
BaseRepresentation
bin1010001000100001000110…
…1101111100011001010000
31110110010000021112012112200
42202020101231330121100
52430020133230003402
635410150305323200
72226641221012524
oct242102155743120
943403007465480
1011141442422352
113606071877340
1212bb352636500
1362a830a98aa8
142a736a599d84
15144c33d5021c
hexa2211b7c650

11141442422352 has 120 divisors (see below), whose sum is σ = 34027467876480. Its totient is φ = 3374973181440.

The previous prime is 11141442422311. The next prime is 11141442422377. The reversal of 11141442422352 is 25322424414111.

11141442422352 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 1 + 4 + 424 + 223 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3111924 + ... + 5653932.

It is an arithmetic number, because the mean of its divisors is an integer number (283562232304).

Almost surely, 211141442422352 is an apocalyptic number.

11141442422352 is a gapful number since it is divisible by the number (12) 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 11141442422352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17013733938240).

11141442422352 is an abundant number, since it is smaller than the sum of its proper divisors (22886025454128).

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

11141442422352 is a wasteful number, since it uses less digits than its factorization.

11141442422352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544801 (or 2544792 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 11141442422352 its reverse (25322424414111), we get a palindrome (36463866836463).

The spelling of 11141442422352 in words is "eleven trillion, one hundred forty-one billion, four hundred forty-two million, four hundred twenty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 2767 5534 8301 11068 16602 22136 24903 30437 33204 44272 49806 60874 66408 91311 99612 121748 132816 182622 199224 243496 273933 365244 398448 486992 547866 730488 1095732 1460976 2191464 2542009 4382928 5084018 7626027 10168036 15252054 20336072 22878081 27962099 30504108 40672144 45756162 55924198 61008216 83886297 91512324 111848396 122016432 167772594 183024648 223696792 251658891 335545188 366049296 447393584 503317782 671090376 1006635564 1342180752 2013271128 4026542256 7033738903 14067477806 21101216709 28134955612 42202433418 56269911224 63303650127 77371127933 84404866836 112539822448 126607300254 154742255866 168809733672 232113383799 253214600508 309484511732 337619467344 464226767598 506429201016 618969023464 696340151397 928453535196 1012858402032 1237938046928 1392680302794 1856907070392 2785360605588 3713814140784 5570721211176 11141442422352