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4000230232000 = 2653503994093
BaseRepresentation
bin111010001101100000010…
…011010100111111000000
3112011102021220220200212021
4322031200103110333000
51011014432414411000
612301402544411224
7562002301643332
oct72154023247700
915142256820767
104000230232000
111302540753352
12547331016b14
132302b27094a2
14db87db51452
156e0c62d711a
hex3a3604d4fc0

4000230232000 has 112 divisors (see below), whose sum is σ = 9926275125312. Its totient is φ = 1596909388800.

The previous prime is 4000230231961. The next prime is 4000230232001. The reversal of 4000230232000 is 2320320004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000230232001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3526954 + ... + 4521046.

It is an arithmetic number, because the mean of its divisors is an integer number (88627456476).

Almost surely, 24000230232000 is an apocalyptic number.

4000230232000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000230232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963137562656).

4000230232000 is an abundant number, since it is smaller than the sum of its proper divisors (5926044893312).

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

4000230232000 is an equidigital number, since it uses as much as digits as its factorization.

4000230232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994623 (or 994603 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 4000230232000 its reverse (2320320004), we get a palindrome (4002550552004).

The spelling of 4000230232000 in words is "four trillion, two hundred thirty million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 503 800 1000 1006 1600 2000 2012 2515 4000 4024 5030 8000 8048 10060 12575 16096 20120 25150 32192 40240 50300 62875 80480 100600 125750 160960 201200 251500 402400 503000 804800 994093 1006000 1988186 2012000 3976372 4024000 4970465 7952744 9940930 15905488 19881860 24852325 31810976 39763720 49704650 63621952 79527440 99409300 124261625 159054880 198818600 248523250 318109760 397637200 497046500 500028779 795274400 994093000 1000057558 1590548800 1988186000 2000115116 2500143895 3976372000 4000230232 5000287790 7952744000 8000460464 10000575580 12500719475 16000920928 20001151160 25001438950 32001841856 40002302320 50002877900 62503597375 80004604640 100005755800 125007194750 160009209280 200011511600 250014389500 400023023200 500028779000 800046046400 1000057558000 2000115116000 4000230232000