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331404324240 = 243511125531941
BaseRepresentation
bin1001101001010010011…
…11001010110110010000
31011200102010200222211010
410310221033022312100
520412204001333430
6412124532450520
732641336164063
oct4645117126620
91150363628733
10331404324240
11118603112980
125428a779a40
13253361277a2
141207bca68da
158949733cb0
hex4d293cad90

331404324240 has 80 divisors (see below), whose sum is σ = 1120749178176. Its totient is φ = 80340441600.

The previous prime is 331404324227. The next prime is 331404324257. The reversal of 331404324240 is 42423404133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3314043242402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 331404324198 and 331404324207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62763331 + ... + 62768610.

Almost surely, 2331404324240 is an apocalyptic number.

331404324240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331404324240 is an abundant number, since it is smaller than the sum of its proper divisors (789344853936).

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

331404324240 is a wasteful number, since it uses less digits than its factorization.

331404324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125531968 (or 125531962 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 331404324240 its reverse (42423404133), we get a palindrome (373827728373).

The spelling of 331404324240 in words is "three hundred thirty-one billion, four hundred four million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 125531941 251063882 376595823 502127764 627659705 753191646 1004255528 1255319410 1380851351 1506383292 1882979115 2008511056 2510638820 2761702702 3012766584 3765958230 4142554053 5021277640 5523405404 6025533168 6904256755 7531916460 8285108106 10042555280 11046810808 13808513510 15063832920 16570216212 20712770265 22093621616 27617027020 30127665840 33140432424 41425540530 55234054040 66280864848 82851081060 110468108080 165702162120 331404324240