Search a number
-
+
240304052122552 = 231112317723287233
BaseRepresentation
bin110110101000111000100101…
…101010100011001110111000
31011111211211202120021020210001
4312220320211222203032320
5222444120144320410202
62211030054010002344
7101421252266645245
oct6650704552431670
91144754676236701
10240304052122552
116a628415789330
1222b50650a163b4
13a4117620261a2
14434aac74825cc
151cbacd7088d87
hexda8e25aa33b8

240304052122552 has 64 divisors (see below), whose sum is σ = 491995719452160. Its totient is φ = 109125870796800.

The previous prime is 240304052122507. The next prime is 240304052122553. The reversal of 240304052122552 is 255221250403042.

240304052122552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2403040521225523 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240304052122553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836473528 + ... + 836760760.

It is an arithmetic number, because the mean of its divisors is an integer number (7687433116440).

Almost surely, 2240304052122552 is an apocalyptic number.

240304052122552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

240304052122552 is an abundant number, since it is smaller than the sum of its proper divisors (251691667329608).

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

240304052122552 is a wasteful number, since it uses less digits than its factorization.

240304052122552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296204 (or 296200 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

The spelling of 240304052122552 in words is "two hundred forty trillion, three hundred four billion, fifty-two million, one hundred twenty-two thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 1231 2462 4924 7723 9848 13541 15446 27082 30892 54164 61784 84953 108328 169906 287233 339812 574466 679624 1148932 2297864 3159563 6319126 9507013 12638252 19014026 25276504 38028052 76056104 104577143 209154286 353583823 418308572 707167646 836617144 1414335292 2218300459 2828670584 3889422053 4436600918 7778844106 8873201836 15557688212 17746403672 24401305049 31115376424 48802610098 97605220196 195210440392 2730727865029 5461455730058 10922911460116 21845822920232 30038006515319 60076013030638 120152026061276 240304052122552