Search a number
-
+
42344541440 = 28533081673
BaseRepresentation
bin100111011011111011…
…100110110100000000
311001022001201120201122
4213123323212310000
51143210200311230
631241450251412
73026223443405
oct473373466400
9131261646648
1042344541440
1116a5a4317a3
128259126b68
133cbaa213a6
142099b122ac
15117c755be5
hex9dbee6d00

42344541440 has 36 divisors (see below), whose sum is σ = 101428412484. Its totient is φ = 16937816064.

The previous prime is 42344541439. The next prime is 42344541451. The reversal of 42344541440 is 4414544324.

It can be written as a sum of positive squares in 2 ways, for example, as 17491649536 + 24852891904 = 132256^2 + 157648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42344541440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16539557 + ... + 16542116.

Almost surely, 242344541440 is an apocalyptic number.

42344541440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42344541440 is an abundant number, since it is smaller than the sum of its proper divisors (59083871044).

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

42344541440 is an equidigital number, since it uses as much as digits as its factorization.

42344541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33081694 (or 33081680 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

The spelling of 42344541440 in words is "forty-two billion, three hundred forty-four million, five hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 33081673 66163346 132326692 165408365 264653384 330816730 529306768 661633460 1058613536 1323266920 2117227072 2646533840 4234454144 5293067680 8468908288 10586135360 21172270720 42344541440