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1334413646112 = 25373376124919
BaseRepresentation
bin10011011010110001010…
…000000101100100100000
311201120100120200210211210
4103122301100011210200
5133330334343133422
62501004323310120
7165260004562221
oct23326120054440
94646316623753
101334413646112
11474a15795938
1219675051b340
1398ab09bc851
144882bc61248
1524aa028110c
hex136b1405920

1334413646112 has 96 divisors (see below), whose sum is σ = 3512364750720. Its totient is φ = 443596216320.

The previous prime is 1334413646089. The next prime is 1334413646131. The reversal of 1334413646112 is 2116463144331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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, 53537589 + ... + 53562507.

It is an arithmetic number, because the mean of its divisors is an integer number (36587132820).

Almost surely, 21334413646112 is an apocalyptic number.

1334413646112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1334413646112 is an abundant number, since it is smaller than the sum of its proper divisors (2177951104608).

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

1334413646112 is a wasteful number, since it uses less digits than its factorization.

1334413646112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26426 (or 26418 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The spelling of 1334413646112 in words is "one trillion, three hundred thirty-four billion, four hundred thirteen million, six hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 733 761 1466 1522 2199 2283 2932 3044 4398 4566 5864 6088 8796 9132 11728 12176 17592 18264 23456 24352 24919 35184 36528 49838 70368 73056 74757 99676 149514 199352 299028 398704 557813 598056 797408 1115626 1196112 1673439 2231252 2392224 3346878 4462504 6693756 8925008 13387512 17850016 18265627 18963359 26775024 36531254 37926718 53550048 54796881 56890077 73062508 75853436 109593762 113780154 146125016 151706872 219187524 227560308 292250032 303413744 438375048 455120616 584500064 606827488 876750096 910241232 1753500192 1820482464 13900142147 27800284294 41700426441 55600568588 83400852882 111201137176 166801705764 222402274352 333603411528 444804548704 667206823056 1334413646112