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4122320000 = 27542272
BaseRepresentation
bin1111010110110101…
…1001110010000000
3101122021212112221112
43311231121302000
531420303220000
61521015342452
7204104066441
oct36555316200
911567775845
104122320000
111825a40037
12970681a28
1350907b606
142b16b52c8
15191d88235
hexf5b59c80

4122320000 has 120 divisors (see below), whose sum is σ = 10307665335. Its totient is φ = 1641664000.

The previous prime is 4122319997. The next prime is 4122320053. The reversal of 4122320000 is 232214.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4122320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 953080384 + 3169239616 = 30872^2 + 56296^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=45400.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18159887 + ... + 18160113.

Almost surely, 24122320000 is an apocalyptic number.

4122320000 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 4122320000

4122320000 is an abundant number, since it is smaller than the sum of its proper divisors (6185345335).

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

4122320000 is an frugal number, since it uses more digits than its factorization.

4122320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4122320000 is about 64205.2957317385. The cubic root of 4122320000 is about 1603.4197688639.

Adding to 4122320000 its reverse (232214), we get a palindrome (4122552214).

The spelling of 4122320000 in words is "four billion, one hundred twenty-two million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 227 250 320 400 454 500 625 640 800 908 1000 1135 1250 1600 1816 2000 2270 2500 3200 3632 4000 4540 5000 5675 7264 8000 9080 10000 11350 14528 16000 18160 20000 22700 28375 29056 36320 40000 45400 51529 56750 72640 80000 90800 103058 113500 141875 145280 181600 206116 227000 257645 283750 363200 412232 454000 515290 567500 726400 824464 908000 1030580 1135000 1288225 1648928 1816000 2061160 2270000 2576450 3297856 3632000 4122320 4540000 5152900 6441125 6595712 8244640 9080000 10305800 12882250 16489280 18160000 20611600 25764500 32205625 32978560 41223200 51529000 64411250 82446400 103058000 128822500 164892800 206116000 257645000 412232000 515290000 824464000 1030580000 2061160000 4122320000