Search a number
-
+
240534201053344 = 25112275147584863
BaseRepresentation
bin110110101100001110111011…
…100111000011000010100000
31011112122211211001002022021211
4312230032323213003002200
5223011403020432201334
62211323515252155504
7101444010506405542
oct6654167347030240
91145584731068254
10240534201053344
116a706a88865460
1222b89181308b94
13a42a37c523783
144357cbb699692
151cc1ca7254a64
hexdac3bb9c30a0

240534201053344 has 96 divisors (see below), whose sum is σ = 518979341776896. Its totient is φ = 108830746648320.

The previous prime is 240534201053309. The next prime is 240534201053351. The reversal of 240534201053344 is 443350102435042.

It is a junction number, because it is equal to n+sod(n) for n = 240534201053297 and 240534201053306.

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 15 ways as a sum of consecutive naturals, for example, 410973457 + ... + 411558319.

It is an arithmetic number, because the mean of its divisors is an integer number (5406034810176).

Almost surely, 2240534201053344 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 240534201053344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259489670888448).

240534201053344 is an abundant number, since it is smaller than the sum of its proper divisors (278445140723552).

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

240534201053344 is a wasteful number, since it uses less digits than its factorization.

240534201053344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590258 (or 590250 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 240534201053344 its reverse (443350102435042), we get a palindrome (683884303488386).

The spelling of 240534201053344 in words is "two hundred forty trillion, five hundred thirty-four billion, two hundred one million, fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 227 352 454 908 1816 2497 3632 4994 5147 7264 9988 10294 19976 20588 39952 41176 56617 79904 82352 113234 164704 226468 452936 584863 905872 1168369 1169726 1811744 2336738 2339452 4673476 4678904 6433493 9346952 9357808 12852059 12866986 18693904 18715616 25704118 25733972 37387808 51408236 51467944 102816472 102935888 132763901 205632944 205871776 265527802 411265888 531055604 1062111208 1460402911 2124222416 2920805822 3010289861 4248444832 5841611644 6020579722 11683223288 12041159444 23366446576 24082318888 33113188471 46732893152 48164637776 66226376942 96329275552 132452753884 264905507768 529811015536 683335798447 1059622031072 1366671596894 2733343193788 5466686387576 7516693782917 10933372775152 15033387565834 21866745550304 30066775131668 60133550263336 120267100526672 240534201053344