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3141253401330 = 2351174318316997
BaseRepresentation
bin101101101101100001010…
…010110000101011110010
3102010022010100110112120210
4231231201102300223302
5402431241332320310
610403023310044550
7442643121233502
oct55554122605362
912108110415523
103141253401330
11100121a71a890
124289674a9756
1319a2acc92995
14ac074b95a02
1556aa04ed820
hex2db614b0af2

3141253401330 has 128 divisors (see below), whose sum is σ = 8241117106176. Its totient is φ = 759967084800.

The previous prime is 3141253401313. The next prime is 3141253401337. The reversal of 3141253401330 is 331043521413.

It is a happy number.

3141253401330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3141253401337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448939392 + ... + 448946388.

It is an arithmetic number, because the mean of its divisors is an integer number (64383727392).

Almost surely, 23141253401330 is an apocalyptic number.

3141253401330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141253401330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120558553088).

3141253401330 is an abundant number, since it is smaller than the sum of its proper divisors (5099863704846).

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

3141253401330 is a wasteful number, since it uses less digits than its factorization.

3141253401330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9592.

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 3141253401330 its reverse (331043521413), we get a palindrome (3472296922743).

The spelling of 3141253401330 in words is "three trillion, one hundred forty-one billion, two hundred fifty-three million, four hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 743 1486 1831 2229 3662 3715 4458 5493 6997 7430 8173 9155 10986 11145 13994 16346 18310 20141 20991 22290 24519 27465 34985 40282 40865 41982 49038 54930 60423 69970 76967 81730 100705 104955 120846 122595 153934 201410 209910 230901 245190 302115 384835 461802 604230 769670 1154505 1360433 2309010 2720866 4081299 5198771 6802165 8162598 10397542 12811507 13604330 14964763 15596313 20406495 25623014 25993855 29929526 31192626 38434521 40812990 44894289 51987710 57186481 64057535 74823815 76869042 77981565 89788578 114372962 128115070 140926577 149647630 155963130 171559443 192172605 224471445 281853154 285932405 343118886 384345210 422779731 448942890 571864810 704632885 845559462 857797215 1409265770 1715594430 2113898655 4227797310 9518949701 19037899402 28556849103 47594748505 57113698206 95189497010 104708446711 142784245515 209416893422 285568491030 314125340133 523542233555 628250680266 1047084467110 1570626700665 3141253401330