Search a number
-
+
4141230323040 = 2532522147129853
BaseRepresentation
bin111100010000110100100…
…011111111010101100000
3112122220020110110110121100
4330100310203333111200
51020322214430314130
612450242133554400
7605123355643056
oct74206443772540
915586213413540
104141230323040
111357316612708
1256a7217a5a00
1324069353ac15
141046181121d6
1572ac9c06c60
hex3c4348ff560

4141230323040 has 144 divisors (see below), whose sum is σ = 14132695410288. Its totient is φ = 1104269718528.

The previous prime is 4141230322997. The next prime is 4141230323059. The reversal of 4141230323040 is 403230321414.

4141230323040 is a `hidden beast` number, since 41 + 4 + 12 + 303 + 2 + 304 + 0 = 666.

4141230323040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4141230322995 and 4141230323013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31826754 + ... + 31956606.

It is an arithmetic number, because the mean of its divisors is an integer number (98143718127).

Almost surely, 24141230323040 is an apocalyptic number.

4141230323040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141230323040 is an abundant number, since it is smaller than the sum of its proper divisors (9991465087248).

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

4141230323040 is a wasteful number, since it uses less digits than its factorization.

4141230323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152021 (or 152010 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4141230323040 its reverse (403230321414), we get a palindrome (4544460644454).

The spelling of 4141230323040 in words is "four trillion, one hundred forty-one billion, two hundred thirty million, three hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 22147 44294 66441 88588 110735 129853 132882 177176 199323 221470 259706 265764 332205 354352 389559 398646 442940 519412 531528 649265 664410 708704 779118 797292 885880 996615 1038824 1063056 1168677 1298530 1328820 1558236 1594584 1771760 1947795 1993230 2077648 2126112 2337354 2597060 2657640 3116472 3189168 3543520 3895590 3986460 4155296 4674708 5194120 5315280 5843385 6232944 6378336 7791180 7972920 9349416 10388240 10630560 11686770 12465888 15582360 15945840 18698832 20776480 23373540 31164720 31891680 37397664 46747080 62329440 93494160 186988320 2875854391 5751708782 8627563173 11503417564 14379271955 17255126346 23006835128 25882689519 28758543910 34510252692 43137815865 46013670256 51765379038 57517087820 69020505384 86275631730 92027340512 103530758076 115034175640 129413447595 138041010768 172551263460 207061516152 230068351280 258826895190 276082021536 345102526920 414123032304 460136702560 517653790380 690205053840 828246064608 1035307580760 1380410107680 2070615161520 4141230323040