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4342334512152 = 2337137012836303
BaseRepresentation
bin111111001100000111010…
…011100101110000011000
3120101010022202110202210210
4333030013103211300120
51032121100113342102
613122501350411120
7625503045231240
oct77140723456030
916333282422723
104342334512152
11142463469a49a
125a16a7060aa0
13256632546720
14110254b02b20
1577e4a08d36c
hex3f3074e5c18

4342334512152 has 128 divisors (see below), whose sum is σ = 13380093941760. Its totient is φ = 1143596966400.

The previous prime is 4342334512127. The next prime is 4342334512193. The reversal of 4342334512152 is 2512154332434.

It is a happy number.

4342334512152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×43423345121523 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4342334512152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112833 + ... + 2949135.

It is an arithmetic number, because the mean of its divisors is an integer number (104531983920).

Almost surely, 24342334512152 is an apocalyptic number.

4342334512152 is a gapful number since it is divisible by the number (42) 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 4342334512152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6690046970880).

4342334512152 is an abundant number, since it is smaller than the sum of its proper divisors (9037759429608).

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

4342334512152 is a wasteful number, since it uses less digits than its factorization.

4342334512152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837033 (or 2837029 counting only the distinct ones).

The product of its digits is 345600, while the sum is 39.

Adding to 4342334512152 its reverse (2512154332434), we get a palindrome (6854488844586).

The spelling of 4342334512152 in words is "four trillion, three hundred forty-two billion, three hundred thirty-four million, five hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 701 728 1092 1402 2103 2184 2804 4206 4907 5608 8412 9113 9814 14721 16824 18226 19628 27339 29442 36452 39256 54678 58884 63791 72904 109356 117768 127582 191373 218712 255164 382746 510328 765492 1530984 2836303 5672606 8508909 11345212 17017818 19854121 22690424 34035636 36871939 39708242 59562363 68071272 73743878 79416484 110615817 119124726 147487756 158832968 221231634 238249452 258103573 294975512 442463268 476498904 516207146 774310719 884926536 1032414292 1548621438 1988248403 2064828584 3097242876 3976496806 5964745209 6194485752 7952993612 11929490418 13917738821 15905987224 23858980836 25847229239 27835477642 41753216463 47717961672 51694458478 55670955284 77541687717 83506432926 103388916956 111341910568 155083375434 167012865852 180930604673 206777833912 310166750868 334025731704 361861209346 542791814019 620333501736 723722418692 1085583628038 1447444837384 2171167256076 4342334512152