Search a number
-
+
355221435541540 = 22562572838592261
BaseRepresentation
bin101000011000100100110111…
…1011110110110100000100100
31201120201211121121020222221111
41100301021233132312200210
5333024421444444312130
63255254250310154404
7134551621214055511
oct12061115736664044
91646654547228844
10355221435541540
11a3203623839957
1233a10364052a04
13123293121299b9
1463a0b486b4308
152b101d0e4602a
hex143126f7b6824

355221435541540 has 24 divisors (see below), whose sum is σ = 746084235775032. Its totient is φ = 142065865428480.

The previous prime is 355221435541501. The next prime is 355221435541543. The reversal of 355221435541540 is 45145534122553.

It can be written as a sum of positive squares in 4 ways, for example, as 103566932582656 + 251654502958884 = 10176784^2 + 15863622^2 .

It is a super-2 number, since 2×3552214355415402 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (355221435541543) 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 7 ways as a sum of consecutive naturals, for example, 1419170991 + ... + 1419421270.

It is an arithmetic number, because the mean of its divisors is an integer number (31086843157293).

Almost surely, 2355221435541540 is an apocalyptic number.

It is an amenable number.

355221435541540 is an abundant number, since it is smaller than the sum of its proper divisors (390862800233492).

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

355221435541540 is a wasteful number, since it uses less digits than its factorization.

355221435541540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838598527 (or 2838598525 counting only the distinct ones).

The product of its (nonzero) digits is 7200000, while the sum is 49.

The spelling of 355221435541540 in words is "three hundred fifty-five trillion, two hundred twenty-one billion, four hundred thirty-five million, five hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 6257 12514 25028 31285 62570 125140 2838592261 5677184522 11354369044 14192961305 28385922610 56771845220 17761071777077 35522143554154 71044287108308 88805358885385 177610717770770 355221435541540