Search a number
-
+
115137345063120 = 24351953476404109
BaseRepresentation
bin11010001011011110000000…
…100011011000100011010000
3120002200000121112122000112220
4122023132000203120203100
5110042402240314004440
61044513211025421040
733152253513201402
oct3213360043304320
9502600545560486
10115137345063120
1133760523733486
1210ab647ba9a780
134c32535b8b233
14206096a492b72
15d49ebea228d0
hex68b7808d88d0

115137345063120 has 160 divisors (see below), whose sum is σ = 382800230467200. Its totient is φ = 28538511685632.

The previous prime is 115137345063061. The next prime is 115137345063133. The reversal of 115137345063120 is 21360543731511.

It is a congruent number.

It is an unprimeable number.

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, 237960375 + ... + 238443734.

It is an arithmetic number, because the mean of its divisors is an integer number (2392501440420).

Almost surely, 2115137345063120 is an apocalyptic number.

115137345063120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115137345063120 is an abundant number, since it is smaller than the sum of its proper divisors (267662885404080).

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

115137345063120 is a wasteful number, since it uses less digits than its factorization.

115137345063120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476404197 (or 476404191 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

Adding to 115137345063120 its reverse (21360543731511), we get a palindrome (136497888794631).

The spelling of 115137345063120 in words is "one hundred fifteen trillion, one hundred thirty-seven billion, three hundred forty-five million, sixty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 53 57 60 76 80 95 106 114 120 152 159 190 212 228 240 265 285 304 318 380 424 456 530 570 636 760 795 848 912 1007 1060 1140 1272 1520 1590 2014 2120 2280 2544 3021 3180 4028 4240 4560 5035 6042 6360 8056 10070 12084 12720 15105 16112 20140 24168 30210 40280 48336 60420 80560 120840 241680 476404109 952808218 1429212327 1905616436 2382020545 2858424654 3811232872 4764041090 5716849308 7146061635 7622465744 9051678071 9528082180 11433698616 14292123270 18103356142 19056164360 22867397232 25249417777 27155034213 28584246540 36206712284 38112328720 45258390355 50498835554 54310068426 57168493080 72413424568 75748253331 90516780710 100997671108 108620136852 114336986160 126247088885 135775171065 144826849136 151496506662 181033561420 201995342216 217240273704 252494177770 271550342130 302993013324 362067122840 378741266655 403990684432 434480547408 479738937763 504988355540 543100684260 605986026648 724134245680 757482533310 959477875526 1009976711080 1086201368520 1211972053296 1439216813289 1514965066620 1918955751052 2019953422160 2172402737040 2398694688815 2878433626578 3029930133240 3837911502104 4797389377630 5756867253156 6059860266480 7196084066445 7675823004208 9594778755260 11513734506312 14392168132890 19189557510520 23027469012624 28784336265780 38379115021040 57568672531560 115137345063120