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111049908144 = 24372103458399
BaseRepresentation
bin110011101101100010…
…1110001111110110000
3101121122020222211120220
41213123011301332300
53304412234030034
6123003212533040
711010630434100
oct1473305617660
9347566884526
10111049908144
114310686169a
1219632481180
13a619b8c726
145536803200
152d4e386749
hex19db171fb0

111049908144 has 120 divisors (see below), whose sum is σ = 336957004800. Its totient is φ = 31420432512.

The previous prime is 111049908143. The next prime is 111049908149. The reversal of 111049908144 is 441809940111.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 111049908096 and 111049908105.

It is not an unprimeable number, because it can be changed into a prime (111049908143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13057 + ... + 471455.

It is an arithmetic number, because the mean of its divisors is an integer number (2807975040).

Almost surely, 2111049908144 is an apocalyptic number.

111049908144 is a gapful number since it is divisible by the number (14) 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 111049908144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168478502400).

111049908144 is an abundant number, since it is smaller than the sum of its proper divisors (225907096656).

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

111049908144 is a wasteful number, since it uses less digits than its factorization.

111049908144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458527 (or 458514 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 111049908144 in words is "one hundred eleven billion, forty-nine million, nine hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 103 112 147 168 196 206 294 309 336 392 412 588 618 721 784 824 1176 1236 1442 1648 2163 2352 2472 2884 4326 4944 5047 5768 8652 10094 11536 15141 17304 20188 30282 34608 40376 60564 80752 121128 242256 458399 916798 1375197 1833596 2750394 3208793 3667192 5500788 6417586 7334384 9626379 11001576 12835172 19252758 22003152 22461551 25670344 38505516 44923102 47215097 51340688 67384653 77011032 89846204 94430194 134769306 141645291 154022064 179692408 188860388 269538612 283290582 330505679 359384816 377720776 539077224 566581164 661011358 755441552 991517037 1078154448 1133162328 1322022716 1983034074 2266324656 2313539753 2644045432 3966068148 4627079506 5288090864 6940619259 7932136296 9254159012 13881238518 15864272592 18508318024 27762477036 37016636048 55524954072 111049908144