Search a number
-
+
1231405001344 = 2771374335939
BaseRepresentation
bin10001111010110101011…
…101010010101010000000
311100201110201202110212101
4101322311131102222000
5130133404140020334
62341411042440144
7154652235544510
oct21726535225200
94321421673771
101231405001344
11435266025461
1217a7a3063054
138c175a8cb3b
14438593c7840
1522071d46214
hex11eb5752a80

1231405001344 has 32 divisors (see below), whose sum is σ = 2803645317600. Its totient is φ = 527745000192.

The previous prime is 1231405001329. The next prime is 1231405001347. The reversal of 1231405001344 is 4431005041321.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1231405001347) by changing a digit.

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, 687167074 + ... + 687168865.

It is an arithmetic number, because the mean of its divisors is an integer number (87613916175).

Almost surely, 21231405001344 is an apocalyptic number.

1231405001344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1231405001344 is an abundant number, since it is smaller than the sum of its proper divisors (1572240316256).

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

1231405001344 is an equidigital number, since it uses as much as digits as its factorization.

1231405001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374335960 (or 1374335948 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 1231405001344 in words is "one trillion, two hundred thirty-one billion, four hundred five million, one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1374335939 2748671878 5497343756 9620351573 10994687512 19240703146 21989375024 38481406292 43978750048 76962812584 87957500096 153925625168 175915000192 307851250336 615702500672 1231405001344