Search a number
-
+
342020043330240 = 26351132388261679
BaseRepresentation
bin100110111000100001011111…
…1001100000101001011000000
31122211222210111212210010022010
41031301002333030011023000
5324312124022043031430
63211225501103412520
7132020063340534042
oct11561027714051300
91584883455703263
10342020043330240
1199a8398201a010
12324399385b4140
13118ac47589cb62
146065c03725a92
152981ad5ed2cb0
hex13710bf3052c0

342020043330240 has 112 divisors (see below), whose sum is σ = 1184633059207680. Its totient is φ = 82913949895680.

The previous prime is 342020043330209. The next prime is 342020043330257. The reversal of 342020043330240 is 42033340020243.

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

It is a junction number, because it is equal to n+sod(n) for n = 342020043330198 and 342020043330207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16194120280 + ... + 16194141399.

Almost surely, 2342020043330240 is an apocalyptic number.

342020043330240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342020043330240 is an abundant number, since it is smaller than the sum of its proper divisors (842613015877440).

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

342020043330240 is a wasteful number, since it uses less digits than its factorization.

342020043330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32388261710 (or 32388261700 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 342020043330240 its reverse (42033340020243), we get a palindrome (384053383350483).

The spelling of 342020043330240 in words is "three hundred forty-two trillion, twenty billion, forty-three million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 32388261679 64776523358 97164785037 129553046716 161941308395 194329570074 259106093432 323882616790 356270878469 388659140148 485823925185 518212186864 647765233580 712541756938 777318280296 971647850370 1036424373728 1068812635407 1295530467160 1425083513876 1554636560592 1781354392345 1943295700740 2072848747456 2137625270814 2591060934320 2850167027752 3109273121184 3562708784690 3886591401480 4275250541628 5182121868640 5344063177035 5700334055504 6218546242368 7125417569380 7773182802960 8550501083256 10364243737280 10688126354070 11400668111008 14250835138760 15546365605920 17101002166512 21376252708140 22801336222016 28501670277520 31092731211840 34202004333024 42752505416280 57003340555040 68404008666048 85505010832560 114006681110080 171010021665120 342020043330240