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34323154033140 = 223257200631357753
BaseRepresentation
bin1111100110111011110110…
…11001110101100111110100
311111112021001121201020111100
413303131323121311213310
513444322304413030030
6200555501141410100
710141523516352540
oct763357331654764
9144467047636440
1034323154033140
11aa334057157a5
123a24082a09930
13161c8760072bb
1486936c974a20
153e7c5602c360
hex1f377b6759f4

34323154033140 has 144 divisors (see below), whose sum is σ = 118992952286208. Its totient is φ = 7844895539712.

The previous prime is 34323154033139. The next prime is 34323154033193. The reversal of 34323154033140 is 4133045132343.

34323154033140 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 315 + 4 + 0 + 331 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34323154033095 and 34323154033104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24600504 + ... + 25958256.

It is an arithmetic number, because the mean of its divisors is an integer number (826339946432).

Almost surely, 234323154033140 is an apocalyptic number.

34323154033140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34323154033140 is an abundant number, since it is smaller than the sum of its proper divisors (84669798253068).

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

34323154033140 is a wasteful number, since it uses less digits than its factorization.

34323154033140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377838 (or 1377833 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 34323154033140 its reverse (4133045132343), we get a palindrome (38456199165483).

The spelling of 34323154033140 in words is "thirty-four trillion, three hundred twenty-three billion, one hundred fifty-four million, thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 20063 40126 60189 80252 100315 120378 140441 180567 200630 240756 280882 300945 361134 401260 421323 561764 601890 702205 722268 842646 902835 1203780 1263969 1357753 1404410 1685292 1805670 2106615 2527938 2715506 2808820 3611340 4073259 4213230 5055876 5431012 6319845 6788765 8146518 8426460 9504271 12219777 12639690 13577530 16293036 19008542 20366295 24439554 25279380 27155060 28512813 38017084 40732590 47521355 48879108 57025626 61098885 81465180 85538439 95042710 114051252 122197770 142564065 171076878 190085420 244395540 285128130 342153756 427692195 570256260 855384390 1710768780 27240598439 54481196878 81721795317 108962393756 136202992195 163443590634 190684189073 245165385951 272405984390 326887181268 381368378146 408608976585 490330771902 544811968780 572052567219 762736756292 817217953170 953420945365 980661543804 1144105134438 1225826929755 1634435906340 1716157701657 1906841890730 2288210268876 2451653859510 2860262836095 3432315403314 3813683781460 4903307719020 5720525672190 6864630806628 8580788508285 11441051344380 17161577016570 34323154033140