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111014301440 = 285729427241
BaseRepresentation
bin110011101100011110…
…1111100111100000000
3101121112202222211101002
41213120331330330000
53304324130121230
6122555501431132
711010015664340
oct1473075747400
9347482884332
10111014301440
1143098751869
121962256b4a8
13a6126a3783
145531bb4d20
152d4b1a1545
hex19d8f7cf00

111014301440 has 144 divisors (see below), whose sum is σ = 314381753280. Its totient is φ = 36749475840.

The previous prime is 111014301427. The next prime is 111014301479. The reversal of 111014301440 is 44103410111.

It is a super-2 number, since 2×1110143014402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46220 + ... + 473460.

It is an arithmetic number, because the mean of its divisors is an integer number (2183206620).

Almost surely, 2111014301440 is an apocalyptic number.

111014301440 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 111014301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157190876640).

111014301440 is an abundant number, since it is smaller than the sum of its proper divisors (203367451840).

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

111014301440 is an equidigital number, since it uses as much as digits as its factorization.

111014301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427298 (or 427284 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 111014301440 its reverse (44103410111), we get a palindrome (155117711551).

The spelling of 111014301440 in words is "one hundred eleven billion, fourteen million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 128 140 145 160 203 224 232 256 280 290 320 406 448 464 560 580 640 812 896 928 1015 1120 1160 1280 1624 1792 1856 2030 2240 2320 3248 3712 4060 4480 4640 6496 7424 8120 8960 9280 12992 16240 18560 25984 32480 37120 51968 64960 129920 259840 427241 854482 1708964 2136205 2990687 3417928 4272410 5981374 6835856 8544820 11962748 12389989 13671712 14953435 17089640 23925496 24779978 27343424 29906870 34179280 47850992 49559956 54686848 59813740 61949945 68358560 86729923 95701984 99119912 109373696 119627480 123899890 136717120 173459846 191403968 198239824 239254960 247799780 273434240 346919692 382807936 396479648 433649615 478509920 495599560 546868480 693839384 765615872 792959296 867299230 957019840 991199120 1387678768 1585918592 1734598460 1914039680 1982398240 2775357536 3171837184 3469196920 3828079360 3964796480 5550715072 6938393840 7929592960 11101430144 13876787680 15859185920 22202860288 27753575360 55507150720 111014301440