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3140442213000 = 233537971313443
BaseRepresentation
bin101101101100110000111…
…100010100101010001000
3102010020000211001220101120
4231230300330110222020
5402423111201304000
610402411011315240
7442614041241111
oct55546074245210
912106024056346
103140442213000
111000943838004
1242877b8abb20
1319a1b0bc33a1
14abdd9157208
1556a541b66a0
hex2db30f14a88

3140442213000 has 128 divisors (see below), whose sum is σ = 9810481000320. Its totient is φ = 836399865600.

The previous prime is 3140442212987. The next prime is 3140442213001. The reversal of 3140442213000 is 3122440413.

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

It is not an unprimeable number, because it can be changed into a prime (3140442213001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1734279 + ... + 3047721.

It is an arithmetic number, because the mean of its divisors is an integer number (76644382815).

Almost surely, 23140442213000 is an apocalyptic number.

3140442213000 is a gapful number since it is divisible by the number (30) 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 3140442213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905240500160).

3140442213000 is an abundant number, since it is smaller than the sum of its proper divisors (6670038787320).

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

3140442213000 is a wasteful number, since it uses less digits than its factorization.

3140442213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314264 (or 1314250 counting only the distinct ones).

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

Adding to 3140442213000 its reverse (3122440413), we get a palindrome (3143564653413).

The spelling of 3140442213000 in words is "three trillion, one hundred forty billion, four hundred forty-two million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 797 1000 1500 1594 2391 3000 3188 3985 4782 6376 7970 9564 11955 15940 19128 19925 23910 31880 39850 47820 59775 79700 95640 99625 119550 159400 199250 239100 298875 398500 478200 597750 797000 1195500 1313443 2391000 2626886 3940329 5253772 6567215 7880658 10507544 13134430 15761316 19701645 26268860 31522632 32836075 39403290 52537720 65672150 78806580 98508225 131344300 157613160 164180375 197016450 262688600 328360750 394032900 492541125 656721500 788065800 985082250 1046814071 1313443000 1970164500 2093628142 3140442213 3940329000 4187256284 5234070355 6280884426 8374512568 10468140710 12561768852 15702211065 20936281420 25123537704 26170351775 31404422130 41872562840 52340703550 62808844260 78511055325 104681407100 125617688520 130851758875 157022110650 209362814200 261703517750 314044221300 392555276625 523407035500 628088442600 785110553250 1046814071000 1570221106500 3140442213000