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3413203224431 = 711313591014729
BaseRepresentation
bin110001101010110010110…
…001000000011101101111
3110002022002000000221102012
4301222302301000131233
5421410220011140211
611132000502351435
7501411233466560
oct61526261003557
913068060027365
103413203224431
1110a6593269000
12471602a2b57b
131b9b2c685a80
14bb2b2806167
155dbba333d8b
hex31ab2c4076f

3413203224431 has 128 divisors (see below), whose sum is σ = 4746480076800. Its totient is φ = 2389039488000.

The previous prime is 3413203224427. The next prime is 3413203224433. The reversal of 3413203224431 is 1344223023143.

3413203224431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3413203224431 - 22 = 3413203224427 is a prime.

It is a super-2 number, since 2×34132032244312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413203224433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 721757675 + ... + 721762403.

It is an arithmetic number, because the mean of its divisors is an integer number (37081875600).

Almost surely, 23413203224431 is an apocalyptic number.

3413203224431 is a deficient number, since it is larger than the sum of its proper divisors (1333276852369).

3413203224431 is a wasteful number, since it uses less digits than its factorization.

3413203224431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 3413203224431 its reverse (1344223023143), we get a palindrome (4757426247574).

The spelling of 3413203224431 in words is "three trillion, four hundred thirteen billion, two hundred three million, two hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 7 11 13 59 77 91 101 121 143 413 649 707 767 847 1001 1111 1313 1331 1573 4543 4729 5369 5959 7139 7777 8437 9191 9317 11011 12221 14443 17303 33103 41713 49973 52019 59059 61477 65549 77467 78529 85547 92807 101101 121121 134431 158873 279011 364133 430339 458843 477629 542269 549703 572209 649649 676247 721039 852137 941017 1020877 1112111 1747603 1953077 3069121 3343403 3627143 4005463 4733729 5047273 5253919 5964959 6209177 6294299 7146139 7438717 7931429 9373507 12233221 21483847 25390001 28180111 33760331 36777433 39898573 43464239 44060093 52071019 55520003 57793109 65614549 68300947 81825887 103108577 197260777 236322317 279290011 309981221 366341443 371363641 404551763 438884303 478106629 572781209 635724199 721760039 751310417 2169868547 2564390101 2599545487 3072190121 3409793431 4029755873 4450069393 4827727333 5259172919 8264414587 23868554017 28208291111 33794091331 37507727741 44327314603 57850902109 262554094187 310291202221 487600460633 3413203224431