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448224952140 = 223257688351683
BaseRepresentation
bin1101000010111000100…
…10011111111101001100
31120211221120022202201100
412201130102133331030
524320431041432030
6541524532143100
744245301142060
oct6413422377514
91524846282640
10448224952140
11163100333749
1272a51767a90
1333362716494
14179a0c73aa0
15b9d5513360
hex685c49ff4c

448224952140 has 144 divisors (see below), whose sum is σ = 1554102321408. Its totient is φ = 102434550912.

The previous prime is 448224952127. The next prime is 448224952141. The reversal of 448224952140 is 41259422844.

448224952140 is a `hidden beast` number, since 4 + 4 + 82 + 2 + 4 + 9 + 521 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (448224952141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8646739 + ... + 8698421.

It is an arithmetic number, because the mean of its divisors is an integer number (10792377232).

Almost surely, 2448224952140 is an apocalyptic number.

It is an amenable number.

448224952140 is an abundant number, since it is smaller than the sum of its proper divisors (1105877369268).

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

448224952140 is a wasteful number, since it uses less digits than its factorization.

448224952140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58588 (or 58583 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 448224952140 in words is "four hundred forty-eight billion, two hundred twenty-four million, nine hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 6883 13766 20649 27532 34415 41298 48181 51683 61947 68830 82596 96362 103245 103366 123894 137660 144543 155049 192724 206490 206732 240905 247788 258415 289086 309735 310098 361781 412980 433629 465147 481810 516830 578172 619470 620196 722715 723562 775245 867258 930294 963620 1033660 1085343 1238940 1445430 1447124 1550490 1734516 1808905 1860588 2168145 2170686 2325735 2890860 3100980 3256029 3617810 4336290 4341372 4651470 5426715 6512058 7235620 8672580 9302940 10853430 13024116 16280145 21706860 32560290 65120580 355734089 711468178 1067202267 1422936356 1778670445 2134404534 2490138623 3201606801 3557340890 4268809068 4980277246 5336011335 6403213602 7114681780 7470415869 9960554492 10672022670 12450693115 12806427204 14940831738 16008034005 21344045340 22411247607 24901386230 29881663476 32016068010 37352079345 44822495214 49802772460 64032136020 74704158690 89644990428 112056238035 149408317380 224112476070 448224952140