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4042322160 = 243525765537
BaseRepresentation
bin1111000011110000…
…1111000011110000
3101102201100020112120
43300330033003300
531234313302120
61505040554240
7202113112542
oct36074170360
911381306476
104042322160
111794870518
12949922980
134c561c206
142a4c0d692
15189d35140
hexf0f0f0f0

4042322160 has 80 divisors (see below), whose sum is σ = 12580150176. Its totient is φ = 1073741824.

The previous prime is 4042322147. The next prime is 4042322173. The reversal of 4042322160 is 612232404.

4042322160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4042322147) and next prime (4042322173).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

4042322160 is an undulating number in base 16.

It is a zygodrome in base 2 and base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 4042322160.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 4042322160 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28912 + ... + 94448.

Almost surely, 24042322160 is an apocalyptic number.

4042322160 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 4042322160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290075088).

4042322160 is an abundant number, since it is smaller than the sum of its proper divisors (8537828016).

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

4042322160 is a wasteful number, since it uses less digits than its factorization.

4042322160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65810 (or 65804 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4042322160 is about 63579.2588821229. The cubic root of 4042322160 is about 1592.9799422060.

Adding to 4042322160 its reverse (612232404), we get a palindrome (4654554564).

The spelling of 4042322160 in words is "four billion, forty-two million, three hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 257 514 771 1028 1285 1542 2056 2570 3084 3855 4112 5140 6168 7710 10280 12336 15420 20560 30840 61680 65537 131074 196611 262148 327685 393222 524296 655370 786444 983055 1048592 1310740 1572888 1966110 2621480 3145776 3932220 5242960 7864440 15728880 16843009 33686018 50529027 67372036 84215045 101058054 134744072 168430090 202116108 252645135 269488144 336860180 404232216 505290270 673720360 808464432 1010580540 1347440720 2021161080 4042322160