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450023406000 = 24353710714843
BaseRepresentation
bin1101000110001110111…
…11000011100110110000
31121000120220102200121120
412203013133003212300
524333121442443000
6542423215222240
744340666556560
oct6430737034660
91530526380546
10450023406000
11163943531753
1273273b17980
133358b1b486c
1417ad1a66da0
15ba8d3636a0
hex68c77c39b0

450023406000 has 160 divisors (see below), whose sum is σ = 1658143538688. Its totient is φ = 102862483200.

The previous prime is 450023405977. The next prime is 450023406043. The reversal of 450023406000 is 604320054.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5315422 + ... + 5399421.

Almost surely, 2450023406000 is an apocalyptic number.

450023406000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450023406000 is an abundant number, since it is smaller than the sum of its proper divisors (1208120132688).

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

450023406000 is a wasteful number, since it uses less digits than its factorization.

450023406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10714876 (or 10714860 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 450023406000 its reverse (604320054), we get a palindrome (450627726054).

The spelling of 450023406000 in words is "four hundred fifty billion, twenty-three million, four hundred six thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 10714843 21429686 32144529 42859372 53574215 64289058 75003901 85718744 107148430 128578116 150007802 160722645 171437488 214296860 225011703 257156232 267871075 300015604 321445290 375019505 428593720 450023406 514312464 535742150 600031208 642890580 750039010 803613225 857187440 900046812 1071484300 1125058515 1200062416 1285781160 1339355375 1500078020 1607226450 1800093624 1875097525 2142968600 2250117030 2571562320 2678710750 3000156040 3214452900 3600187248 3750195050 4018066125 4285937200 4500234060 5357421500 5625292575 6000312080 6428905800 7500390100 8036132250 9000468120 9375487625 10714843000 11250585150 12857811600 15000780200 16072264500 18000936240 18750975250 21429686000 22501170300 28126462875 30001560400 32144529000 37501950500 45002340600 56252925750 64289058000 75003901000 90004681200 112505851500 150007802000 225011703000 450023406000