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112289741424 = 2434721768231
BaseRepresentation
bin110100010010011111…
…1010111101001110000
3101201211122221220010000
41220210333113221300
53314432133211144
6123330222510000
711053434024300
oct1504477275160
9351748856100
10112289741424
11436926a47a3
1219919735300
13a7869bc8a3
145613341600
152dc313e769
hex1a24fd7a70

112289741424 has 150 divisors (see below), whose sum is σ = 378060379224. Its totient is φ = 32082765120.

The previous prime is 112289741411. The next prime is 112289741437. The reversal of 112289741424 is 424147982211.

112289741424 is a `hidden beast` number, since 1 + 1 + 228 + 9 + 7 + 414 + 2 + 4 = 666.

112289741424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112289741411) and next prime (112289741437).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112289741424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 820612 + ... + 947619.

Almost surely, 2112289741424 is an apocalyptic number.

112289741424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112289741424 is an abundant number, since it is smaller than the sum of its proper divisors (265770637800).

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

112289741424 is a wasteful number, since it uses less digits than its factorization.

112289741424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768265 (or 1768243 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 112289741424 in words is "one hundred twelve billion, two hundred eighty-nine million, seven hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3969 4536 5292 7056 7938 9072 10584 15876 21168 31752 63504 1768231 3536462 5304693 7072924 10609386 12377617 14145848 15914079 21218772 24755234 28291696 31828158 37132851 42437544 47742237 49510468 63656316 74265702 84875088 86643319 95484474 99020936 111398553 127312632 143226711 148531404 173286638 190968948 198041872 222797106 254625264 259929957 286453422 297062808 334195659 346573276 381937896 445594212 519859914 572906844 594125616 668391318 693146552 763875792 779789871 891188424 1002586977 1039719828 1145813688 1336782636 1386293104 1559579742 1782376848 2005173954 2079439656 2291627376 2339369613 2673565272 3119159484 4010347908 4158879312 4678739226 5347130544 6238318968 7018108839 8020695816 9357478452 12476637936 14036217678 16041391632 18714956904 28072435356 37429913808 56144870712 112289741424