Search a number
-
+
2001420013344 = 25324179862241
BaseRepresentation
bin11101000111111101111…
…011011100111100100000
321002100000101212000001220
4131013331323130330200
5230242402010411334
64131234544455040
7264412024263453
oct35077573347440
97070011760056
102001420013344
11701885469934
12283a7b61a480
1311696b7cc35b
146cc252d149a
15370dc9c7449
hex1d1fdedcf20

2001420013344 has 48 divisors (see below), whose sum is σ = 5253950913120. Its totient is φ = 667111639040.

The previous prime is 2001420013343. The next prime is 2001420013349. The reversal of 2001420013344 is 4433100241002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2001420013343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1890064 + ... + 2752304.

It is an arithmetic number, because the mean of its divisors is an integer number (109457310690).

Almost surely, 22001420013344 is an apocalyptic number.

2001420013344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2001420013344 is an abundant number, since it is smaller than the sum of its proper divisors (3252530899776).

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

2001420013344 is a wasteful number, since it uses less digits than its factorization.

2001420013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886433 (or 886425 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2001420013344 its reverse (4433100241002), we get a palindrome (6434520254346).

The spelling of 2001420013344 in words is "two trillion, one billion, four hundred twenty million, thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 24179 48358 72537 96716 145074 193432 290148 386864 580296 773728 862241 1160592 1724482 2321184 2586723 3448964 5173446 6897928 10346892 13795856 20693784 27591712 41387568 82775136 20848125139 41696250278 62544375417 83392500556 125088750834 166785001112 250177501668 333570002224 500355003336 667140004448 1000710006672 2001420013344