Search a number
-
+
4342132140 = 2235594092999
BaseRepresentation
bin1000000101100111…
…11010110110101100
3102012121111011111220
410002303322312230
532343041212030
61554510543340
7212413341243
oct40263726654
912177434456
104342132140
111929025165
12a12207b50
13542781678
142d297395a
151a6307a10
hex102cfadac

4342132140 has 96 divisors (see below), whose sum is σ = 12398400000. Its totient is φ = 1135114752.

The previous prime is 4342132121. The next prime is 4342132147. The reversal of 4342132140 is 412312434.

It is a super-3 number, since 3×43421321403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4342132140.

It is not an unprimeable number, because it can be changed into a prime (4342132147) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1446361 + ... + 1449359.

It is an arithmetic number, because the mean of its divisors is an integer number (129150000).

Almost surely, 24342132140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4342132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199200000).

4342132140 is an abundant number, since it is smaller than the sum of its proper divisors (8056267860).

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

4342132140 is a wasteful number, since it uses less digits than its factorization.

4342132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3477 counting only the distinct ones).

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

The square root of 4342132140 is about 65894.8567036912. The cubic root of 4342132140 is about 1631.4271240560.

Adding to 4342132140 its reverse (412312434), we get a palindrome (4754444574).

The spelling of 4342132140 in words is "four billion, three hundred forty-two million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 409 590 708 818 885 1180 1227 1636 1770 2045 2454 2999 3540 4090 4908 5998 6135 8180 8997 11996 12270 14995 17994 24131 24540 29990 35988 44985 48262 59980 72393 89970 96524 120655 144786 176941 179940 241310 289572 353882 361965 482620 530823 707764 723930 884705 1061646 1226591 1447860 1769410 2123292 2453182 2654115 3538820 3679773 4906364 5308230 6132955 7359546 10616460 12265910 14719092 18398865 24531820 36797730 72368869 73595460 144737738 217106607 289475476 361844345 434213214 723688690 868426428 1085533035 1447377380 2171066070 4342132140