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3423225238416 = 24321541832
BaseRepresentation
bin110001110100001000000…
…111111101001110010000
3110010020221110020000001100
4301310020013331032100
5422041231130112131
611140335153104400
7502214466266334
oct61641007751620
913106843200040
103423225238416
1110aa866449495
1247353b258100
131baa68ab0269
14bb9838597c4
155e0a50de7e6
hex31d081fd390

3423225238416 has 45 divisors (see below), whose sum is σ = 9580338324219. Its totient is φ = 1141067678688.

The previous prime is 3423225238409. The next prime is 3423225238417. The reversal of 3423225238416 is 6148325223243.

The square root of 3423225238416 is 1850196.

It is a perfect power (a square), and thus also a powerful number.

3423225238416 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 2 + 252 + 384 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (3423225238417) 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 8 ways as a sum of consecutive naturals, for example, 22125261 + ... + 22279443.

Almost surely, 23423225238416 is an apocalyptic number.

3423225238416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3423225238416 is the 1850196-th square number.

It is an amenable number.

3423225238416 is an abundant number, since it is smaller than the sum of its proper divisors (6157113085803).

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

3423225238416 is an frugal number, since it uses more digits than its factorization.

3423225238416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308380 (or 154188 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 3423225238416 in words is "three trillion, four hundred twenty-three billion, two hundred twenty-five million, two hundred thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 154183 308366 462549 616732 925098 1233464 1387647 1850196 2466928 2775294 3700392 5550588 7400784 11101176 22202352 23772397489 47544794978 71317192467 95089589956 142634384934 190179179912 213951577401 285268769868 380358359824 427903154802 570537539736 855806309604 1141075079472 1711612619208 3423225238416