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4200312000 = 26353175013
BaseRepresentation
bin1111101001011011…
…1010110011000000
3101211201121221212010
43322112322303000
532100234441000
61532443132520
7206042030403
oct37226726300
911751557763
104200312000
111865a6a635
12992814140
1351c287a21
142bbbb7d3a
15198b41d50
hexfa5bacc0

4200312000 has 112 divisors (see below), whose sum is σ = 13869509472. Its totient is φ = 1120076800.

The previous prime is 4200311917. The next prime is 4200312001. The reversal of 4200312000 is 2130024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (4200312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63507 + ... + 111506.

It is an arithmetic number, because the mean of its divisors is an integer number (123834906).

Almost surely, 24200312000 is an apocalyptic number.

4200312000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200312000 is an abundant number, since it is smaller than the sum of its proper divisors (9669197472).

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

4200312000 is a wasteful number, since it uses less digits than its factorization.

4200312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175043 (or 175023 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4200312000 is about 64809.8140716358. The cubic root of 4200312000 is about 1613.4685966018.

Adding to 4200312000 its reverse (2130024), we get a palindrome (4202442024).

The spelling of 4200312000 in words is "four billion, two hundred million, three hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 175013 350026 525039 700052 875065 1050078 1400104 1750130 2100156 2625195 2800208 3500260 4200312 4375325 5250390 5600416 7000520 8400624 8750650 10500780 11200832 13125975 14001040 16801248 17501300 21001560 21876625 26251950 28002080 33602496 35002600 42003120 43753250 52503900 56004160 65629875 70005200 84006240 87506500 105007800 131259750 140010400 168012480 175013000 210015600 262519500 280020800 350026000 420031200 525039000 700052000 840062400 1050078000 1400104000 2100156000 4200312000