Search a number
-
+
20442141312 = 27353234743
BaseRepresentation
bin10011000010011100…
…100101001010000000
31221202122111101002220
4103002130211022000
5313331142010222
613220242011040
71322401222425
oct230234451200
957678441086
1020442141312
11874006836a
123b66046a80
131c0a182608
14dbccd9d4c
157e99a5b5c
hex4c2725280

20442141312 has 32 divisors (see below), whose sum is σ = 54299438880. Its totient is φ = 6814046976.

The previous prime is 20442141281. The next prime is 20442141337. The reversal of 20442141312 is 21314124402.

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

It is a super-2 number, since 2×204421413122 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26616988 + ... + 26617755.

It is an arithmetic number, because the mean of its divisors is an integer number (1696857465).

Almost surely, 220442141312 is an apocalyptic number.

It is an amenable number.

20442141312 is an abundant number, since it is smaller than the sum of its proper divisors (33857297568).

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

20442141312 is an equidigital number, since it uses as much as digits as its factorization.

20442141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53234760 (or 53234748 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 20442141312 its reverse (21314124402), we get a palindrome (41756265714).

The spelling of 20442141312 in words is "twenty billion, four hundred forty-two million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 53234743 106469486 159704229 212938972 319408458 425877944 638816916 851755888 1277633832 1703511776 2555267664 3407023552 5110535328 6814047104 10221070656 20442141312