Search a number
-
+
240054524055632 = 241113104918935339
BaseRepresentation
bin110110100101010000001100…
…101000100001000001010000
31011110221222200112012002010202
4312211100030220201001100
5222431023131124240012
62210315305333314332
7101364236614244546
oct6645201450410120
91143858615162122
10240054524055632
116a541608691420
1222b102124959a8
13a3c4076973250
14433c9b55dbd96
151cb45808e1cc2
hexda540ca21050

240054524055632 has 40 divisors (see below), whose sum is σ = 546417815250720. Its totient is φ = 100722177924480.

The previous prime is 240054524055629. The next prime is 240054524055649. The reversal of 240054524055632 is 236550425450042.

It is a super-2 number, since 2×2400545240556322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52459465382 + ... + 52459469957.

It is an arithmetic number, because the mean of its divisors is an integer number (13660445381268).

Almost surely, 2240054524055632 is an apocalyptic number.

240054524055632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

240054524055632 is an abundant number, since it is smaller than the sum of its proper divisors (306363291195088).

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

240054524055632 is a wasteful number, since it uses less digits than its factorization.

240054524055632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104918935371 (or 104918935365 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 47.

The spelling of 240054524055632 in words is "two hundred forty trillion, fifty-four billion, five hundred twenty-four million, fifty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 104918935339 209837870678 419675741356 839351482712 1154108288729 1363946159407 1678702965424 2308216577458 2727892318814 4616433154916 5455784637628 9232866309832 10911569275256 15003407753477 18465732619664 21823138550512 30006815506954 60013631013908 120027262027816 240054524055632