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4412404128 = 2531117245789
BaseRepresentation
bin1000001101111111…
…11111000110100000
3102101111201100120010
410012333333012200
533014033413003
62005501044520
7214225546656
oct40677770640
912344640503
104412404128
111964761590
12a31856740
135541b6c22
142dc026dd6
151ac589003
hex106fff1a0

4412404128 has 96 divisors (see below), whose sum is σ = 13378841280. Its totient is φ = 1258434560.

The previous prime is 4412404123. The next prime is 4412404141. The reversal of 4412404128 is 8214042144.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4412404095 and 4412404104.

It is not an unprimeable number, because it can be changed into a prime (4412404123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104943 + ... + 140846.

It is an arithmetic number, because the mean of its divisors is an integer number (139362930).

Almost surely, 24412404128 is an apocalyptic number.

4412404128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4412404128 is an abundant number, since it is smaller than the sum of its proper divisors (8966437152).

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

4412404128 is a wasteful number, since it uses less digits than its factorization.

4412404128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245830 (or 245822 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 4412404128 is about 66425.9296359486. The cubic root of 4412404128 is about 1640.1809397825.

The spelling of 4412404128 in words is "four billion, four hundred twelve million, four hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 245789 491578 737367 983156 1474734 1966312 2703679 2949468 3932624 4178413 5407358 5898936 7865248 8111037 8356826 10814716 11797872 12535239 16222074 16713652 21629432 23595744 25070478 32444148 33427304 43258864 45962543 50140956 64888296 66854608 86517728 91925086 100281912 129776592 133709216 137887629 183850172 200563824 259553184 275775258 367700344 401127648 551550516 735400688 1103101032 1470801376 2206202064 4412404128