Search a number
-
+
240005502325204 = 2271117120113816299
BaseRepresentation
bin110110100100100010100010…
…101101011101000111010100
31011110210022011010011011002021
4312210202202231131013110
5222424222232043401304
62210241001115422524
7101360553041355640
oct6644424255350724
91143708133134067
10240005502325204
116a52284214a820
1222b02811154a44
13a3bc5637a2775
14433a484b9dc20
151cb3161d89a54
hexda48a2b5d1d4

240005502325204 has 96 divisors (see below), whose sum is σ = 554497521177600. Its totient is φ = 88000778841600.

The previous prime is 240005502325157. The next prime is 240005502325273. The reversal of 240005502325204 is 402523205500042.

It is a super-2 number, since 2×2400055023252042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 240005502325204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60981447 + ... + 64797745.

It is an arithmetic number, because the mean of its divisors is an integer number (5776015845600).

Almost surely, 2240005502325204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240005502325204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277248760588800).

240005502325204 is an abundant number, since it is smaller than the sum of its proper divisors (314492018852396).

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

240005502325204 is a wasteful number, since it uses less digits than its factorization.

240005502325204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828349 (or 3828347 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 34.

Adding to 240005502325204 its reverse (402523205500042), we get a palindrome (642528707825246).

The spelling of 240005502325204 in words is "two hundred forty trillion, five billion, five hundred two million, three hundred twenty-five thousand, two hundred four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 2618 5236 12011 24022 48044 84077 132121 168154 204187 264242 336308 408374 528484 816748 924847 1429309 1849694 2246057 2858618 3699388 3816299 4492114 5717236 7632598 8984228 15265196 15722399 26714093 31444798 41979289 53428186 62889596 64877083 83958578 106856372 129754166 167917156 259508332 293855023 454139581 587710046 713647913 908279162 1175420092 1427295826 1816558324 2854591652 4995535391 9991070782 19982141564 45837567289 91675134578 183350269156 320862971023 504213240179 641725942046 779238643913 1008426480358 1283451884092 1558477287826 2016852960716 3116954575652 3529492681253 5454670507391 7058985362506 8571625083043 10909341014782 14117970725012 17143250166086 21818682029564 34286500332172 60001375581301 120002751162602 240005502325204