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4232140000 = 25541119237
BaseRepresentation
bin1111110001000001…
…0101010011100000
3101220221111222122221
43330100111103200
532131411440000
61535541240424
7206606411404
oct37420252340
911827458587
104232140000
111881a29470
129a1403114
13525a4ca6a
142c2101104
1519b82c61a
hexfc4154e0

4232140000 has 120 divisors (see below), whose sum is σ = 11358807768. Its totient is φ = 1538880000.

The previous prime is 4232139983. The next prime is 4232140019. The reversal of 4232140000 is 412324.

It is a super-2 number, since 2×42321400002 = 35822017959200000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 210382 + ... + 229618.

Almost surely, 24232140000 is an apocalyptic number.

4232140000 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 4232140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679403884).

4232140000 is an abundant number, since it is smaller than the sum of its proper divisors (7126667768).

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

4232140000 is a wasteful number, since it uses less digits than its factorization.

4232140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19278 (or 19255 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4232140000 is about 65054.8998923217. The cubic root of 4232140000 is about 1617.5337161228.

Adding to 4232140000 its reverse (412324), we get a palindrome (4232552324).

The spelling of 4232140000 in words is "four billion, two hundred thirty-two million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 19237 20000 22000 27500 38474 44000 55000 76948 96185 110000 153896 192370 211607 220000 307792 384740 423214 480925 615584 769480 846428 961850 1058035 1538960 1692856 1923700 2116070 2404625 3077920 3385712 3847400 4232140 4809250 5290175 6771424 7694800 8464280 9618500 10580350 12023125 15389600 16928560 19237000 21160700 24046250 26450875 33857120 38474000 42321400 48092500 52901750 76948000 84642800 96185000 105803500 132254375 169285600 192370000 211607000 264508750 384740000 423214000 529017500 846428000 1058035000 2116070000 4232140000