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4230383616 = 21132283811
BaseRepresentation
bin1111110000100110…
…1000100000000000
3101220211012202100200
43330021220200000
532130434233431
61535435445200
7206555444634
oct37411504000
911824182320
104230383616
111880a39908
129a08b6800
13525586494
142c1ba4dc4
1519b5d1ee6
hexfc268800

4230383616 has 144 divisors (see below), whose sum is σ = 12276416880. Its totient is φ = 1403412480.

The previous prime is 4230383569. The next prime is 4230383617. The reversal of 4230383616 is 6163830324.

4230383616 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 38 + 3 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×42303836162 = 35792291077042470912, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4230383617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5215851 + ... + 5216661.

It is an arithmetic number, because the mean of its divisors is an integer number (85252895).

Almost surely, 24230383616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4230383616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138208440).

4230383616 is an abundant number, since it is smaller than the sum of its proper divisors (8046033264).

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

4230383616 is a wasteful number, since it uses less digits than its factorization.

4230383616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4230383616 is about 65041.3992469412. The cubic root of 4230383616 is about 1617.3099204824.

The spelling of 4230383616 in words is "four billion, two hundred thirty million, three hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 283 288 384 512 566 576 768 811 849 1024 1132 1152 1536 1622 1698 2048 2264 2304 2433 2547 3072 3244 3396 4528 4608 4866 5094 6144 6488 6792 7299 9056 9216 9732 10188 12976 13584 14598 18112 18432 19464 20376 25952 27168 29196 36224 38928 40752 51904 54336 58392 72448 77856 81504 103808 108672 116784 144896 155712 163008 207616 217344 229513 233568 289792 311424 326016 415232 434688 459026 467136 579584 622848 652032 688539 830464 869376 918052 934272 1245696 1304064 1377078 1660928 1738752 1836104 1868544 2065617 2491392 2608128 2754156 3672208 3737088 4131234 4982784 5216256 5508312 7344416 7474176 8262468 11016624 14688832 14948352 16524936 22033248 29377664 33049872 44066496 58755328 66099744 88132992 117510656 132199488 176265984 235021312 264398976 352531968 470042624 528797952 705063936 1057595904 1410127872 2115191808 4230383616