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1331421412412 = 2271316330617331
BaseRepresentation
bin10011010111111110111…
…001100111110000111100
311201021122001021120212102
4103113332321213300330
5133303222340144122
62455351353324232
7165122602163630
oct23277671476074
94637561246772
101331421412412
1147371a74a423
12196056406678
1398724ac7270
14486266badc0
1524977723492
hex135fee67c3c

1331421412412 has 96 divisors (see below), whose sum is σ = 2886606288384. Its totient is φ = 523242374400.

The previous prime is 1331421412313. The next prime is 1331421412441. The reversal of 1331421412412 is 2142141241331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181611587 + ... + 181618917.

It is an arithmetic number, because the mean of its divisors is an integer number (30068815504).

Almost surely, 21331421412412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331421412412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443303144192).

1331421412412 is an abundant number, since it is smaller than the sum of its proper divisors (1555184875972).

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

1331421412412 is a wasteful number, since it uses less digits than its factorization.

1331421412412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10579 (or 10577 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

Adding to 1331421412412 its reverse (2142141241331), we get a palindrome (3473562653743).

The spelling of 1331421412412 in words is "one trillion, three hundred thirty-one billion, four hundred twenty-one million, four hundred twelve thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 163 182 326 364 652 1141 2119 2282 3061 4238 4564 6122 7331 8476 12244 14662 14833 21427 29324 29666 39793 42854 51317 59332 79586 85708 95303 102634 159172 190606 205268 278551 381212 498943 557102 667121 997886 1114204 1194953 1334242 1995772 2389906 2668484 3492601 4779812 6486259 6985202 8364671 12972518 13970404 15534389 16729342 22440191 25945036 31068778 33458684 44880382 45403813 62137556 89760764 90807626 108740723 157081337 181615252 217481446 291722483 314162674 434962892 583444966 628325348 1166889932 2042057381 3657751133 4084114762 7315502266 8168229524 14631004532 25604257931 47550764729 51208515862 95101529458 102417031724 190203058916 332855353103 665710706206 1331421412412