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331420324011400 = 235213127469355389
BaseRepresentation
bin100101101011011001100111…
…0101011110001110110001000
31121110110110210012211220011001
41023112303032223301312020
5321414442310421331100
63132512221152144344
7126544220405110021
oct11326631653616610
91543413705756131
10331420324011400
119666762a8813a8
123120758bb380b4
13112c0a57cac880
145bbab87737c48
15284b00abb6d6a
hex12d6cceaf1d88

331420324011400 has 48 divisors (see below), whose sum is σ = 829825503588900. Its totient is φ = 122370581172480.

The previous prime is 331420324011313. The next prime is 331420324011409. The reversal of 331420324011400 is 4110423024133.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 78553017164196 + 252867306847204 = 8863014^2 + 15901802^2 .

It is not an unprimeable number, because it can be changed into a prime (331420324011409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63734675095 + ... + 63734680294.

Almost surely, 2331420324011400 is an apocalyptic number.

It is an amenable number.

331420324011400 is an abundant number, since it is smaller than the sum of its proper divisors (498405179577500).

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

331420324011400 is a wasteful number, since it uses less digits than its factorization.

331420324011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127469355418 (or 127469355409 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 331420324011400 its reverse (4110423024133), we get a palindrome (335530747035533).

The spelling of 331420324011400 in words is "three hundred thirty-one trillion, four hundred twenty billion, three hundred twenty-four million, eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 127469355389 254938710778 509877421556 637346776945 1019754843112 1274693553890 1657101620057 2549387107780 3186733884725 3314203240114 5098774215560 6373467769450 6628406480228 8285508100285 12746935538900 13256812960456 16571016200570 25493871077800 33142032401140 41427540501425 66284064802280 82855081002850 165710162005700 331420324011400