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4030312120 = 2352915492243
BaseRepresentation
bin1111000000111001…
…1010111010111000
3101101212202001212021
43300032122322320
531223224441440
61503531324224
7201606042052
oct36016327270
911355661767
104030312120
11178900816a
129458b0674
134c2ca5793
142a33a48d2
15188c6184a
hexf039aeb8

4030312120 has 64 divisors (see below), whose sum is σ = 9391140000. Its totient is φ = 1554835968.

The previous prime is 4030312109. The next prime is 4030312157. The reversal of 4030312120 is 212130304.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4030312094 and 4030312103.

It is a congruent number.

It is an unprimeable number.

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, 1795719 + ... + 1797961.

Almost surely, 24030312120 is an apocalyptic number.

4030312120 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 4030312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695570000).

4030312120 is an abundant number, since it is smaller than the sum of its proper divisors (5360827880).

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

4030312120 is a wasteful number, since it uses less digits than its factorization.

4030312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4030312120 is about 63484.7392685833. The cubic root of 4030312120 is about 1591.4007565556.

Adding to 4030312120 its reverse (212130304), we get a palindrome (4242442424).

The spelling of 4030312120 in words is "four billion, thirty million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1549 2243 3098 4486 6196 7745 8972 11215 12392 15490 17944 22430 30980 44860 44921 61960 65047 89720 89842 130094 179684 224605 260188 325235 359368 449210 520376 650470 898420 1300940 1796840 2601880 3474407 6948814 13897628 17372035 27795256 34744070 69488140 100757803 138976280 201515606 403031212 503789015 806062424 1007578030 2015156060 4030312120