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240221434434340 = 225311129343183283
BaseRepresentation
bin110110100111101011101001…
…010001000101001100100100
31011111112221111210111211121211
4312213223221101011030210
5222441241444203344330
62210524111542121204
7101412266041122502
oct6647535121051444
91144487453454554
10240221434434340
116a5a637a1a6367
1222b38634420204
13a406a26797348
144346acabbd672
151cb8a9dd93d2a
hexda7ae9445324

240221434434340 has 48 divisors (see below), whose sum is σ = 521199317076480. Its totient is φ = 92906578103040.

The previous prime is 240221434434259. The next prime is 240221434434347. The reversal of 240221434434340 is 43434434122042.

It is a super-2 number, since 2×2402214344343402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240221434434293 and 240221434434302.

It is not an unprimeable number, because it can be changed into a prime (240221434434347) by changing a digit.

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, 170891662 + ... + 172291621.

It is an arithmetic number, because the mean of its divisors is an integer number (10858319105760).

Almost surely, 2240221434434340 is an apocalyptic number.

240221434434340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240221434434340 is an abundant number, since it is smaller than the sum of its proper divisors (280977882642140).

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

240221434434340 is a wasteful number, since it uses less digits than its factorization.

240221434434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343184452 (or 343184450 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 240221434434340 its reverse (43434434122042), we get a palindrome (283655868556382).

The spelling of 240221434434340 in words is "two hundred forty trillion, two hundred twenty-one billion, four hundred thirty-four million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1129 2258 4516 5645 11290 22580 34999 69998 139996 174995 349990 699980 343183283 686366566 1372733132 1715916415 3431832830 6863665660 10638681773 21277363546 42554727092 53193408865 106386817730 212773635460 387453926507 774907853014 1549815706028 1937269632535 3874539265070 7749078530140 12011071721717 24022143443434 48044286886868 60055358608585 120110717217170 240221434434340