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4424140728 = 2333719154001
BaseRepresentation
bin1000001111011001…
…10000011110111000
3102102022210122011000
410013230300132320
533030040000403
62011000405000
7214430401320
oct40754603670
912368718130
104424140728
111970348457
12a35776760
13556766067
142dd800280
151ad6067a3
hex107b307b8

4424140728 has 128 divisors (see below), whose sum is σ = 14784192000. Its totient is φ = 1197504000.

The previous prime is 4424140697. The next prime is 4424140739. The reversal of 4424140728 is 8270414244.

4424140728 is a `hidden beast` number, since 4 + 4 + 241 + 407 + 2 + 8 = 666.

It is a super-2 number, since 2×44241407282 = 39146042362296739968, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4424140692 and 4424140701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48273 + ... + 105728.

It is an arithmetic number, because the mean of its divisors is an integer number (115501500).

Almost surely, 24424140728 is an apocalyptic number.

It is an amenable number.

4424140728 is an abundant number, since it is smaller than the sum of its proper divisors (10360051272).

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

4424140728 is a wasteful number, since it uses less digits than its factorization.

4424140728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154042 (or 154032 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 4424140728 is about 66514.2144808161. The cubic root of 4424140728 is about 1641.6338971233.

The spelling of 4424140728 in words is "four billion, four hundred twenty-four million, one hundred forty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 4104 4788 7182 9576 14364 28728 154001 308002 462003 616004 924006 1078007 1232008 1386009 1848012 2156014 2772018 2926019 3234021 3696024 4158027 4312028 5544036 5852038 6468042 8316054 8624056 8778057 9702063 11088072 11704076 12936084 16632108 17556114 19404126 20482133 23408152 25872168 26334171 29106189 33264216 35112228 38808252 40964266 52668342 58212378 61446399 70224456 77616504 79002513 81928532 105336684 116424756 122892798 158005026 163857064 184339197 210673368 232849512 245785596 316010052 368678394 491571192 553017591 632020104 737356788 1106035182 1474713576 2212070364 4424140728