Search a number
-
+
240552124110320 = 245111736012629093
BaseRepresentation
bin110110101100011111100111…
…111010000101010111110000
31011112201120002010110221022212
4312230133213322011113300
5223012201222233012240
62211340041545351252
7101445213612026141
oct6654374772052760
91145646063427285
10240552124110320
116a713645974440
1222b90743798528
13a42bc77824229
144358adbbb7ac8
151cc24a59b0165
hexdac7e7e855f0

240552124110320 has 160 divisors (see below), whose sum is σ = 614675699112384. Its totient is φ = 86823134208000.

The previous prime is 240552124110313. The next prime is 240552124110323. The reversal of 240552124110320 is 23011421255042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240552124110323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90181694 + ... + 92810786.

Almost surely, 2240552124110320 is an apocalyptic number.

240552124110320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240552124110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307337849556192).

240552124110320 is an abundant number, since it is smaller than the sum of its proper divisors (374123575002064).

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

240552124110320 is a wasteful number, since it uses less digits than its factorization.

240552124110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629891 (or 2629885 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 240552124110320 its reverse (23011421255042), we get a palindrome (263563545365362).

The spelling of 240552124110320 in words is "two hundred forty trillion, five hundred fifty-two billion, one hundred twenty-four million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 173 176 220 346 440 601 692 865 880 1202 1384 1730 1903 2404 2768 3005 3460 3806 4808 6010 6611 6920 7612 9515 9616 12020 13222 13840 15224 19030 24040 26444 30448 33055 38060 48080 52888 66110 76120 103973 105776 132220 152240 207946 264440 415892 519865 528880 831784 1039730 1143703 1663568 2079460 2287406 2629093 4158920 4574812 5258186 5718515 8317840 9149624 10516372 11437030 13145465 18299248 21032744 22874060 26290930 28920023 42065488 45748120 52581860 57840046 91496240 105163720 115680092 144600115 210327440 231360184 289200230 454833089 462720368 578400460 909666178 1156800920 1580084893 1819332356 2274165445 2313601840 3160169786 3638664712 4548330890 5003163979 6320339572 7277329424 7900424465 9096661780 10006327958 12640679144 15800848930 17380933823 18193323560 20012655916 25015819895 25281358288 31601697860 34761867646 36386647120 40025311832 50031639790 63203395720 69523735292 80050623664 86904669115 100063279580 126406791440 139047470584 173809338230 200126559160 273354686489 278094941168 347618676460 400253118320 546709372978 695237352920 1093418745956 1366773432445 1390474705840 2186837491912 2733546864890 3006901551379 4373674983824 5467093729780 6013803102758 10934187459560 12027606205516 15034507756895 21868374919120 24055212411032 30069015513790 48110424822064 60138031027580 120276062055160 240552124110320