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1334404158138 = 232533533395909
BaseRepresentation
bin10011011010110000101…
…011111001001010111010
311201120022220211202210100
4103122300223321022322
5133330324431030023
62501003344100230
7165256531124412
oct23326053711272
94646286752710
101334404158138
11474a103a5437
12196749304676
1398aaba4a06c
144882a8b1642
1524a9e509c43
hex136b0af92ba

1334404158138 has 48 divisors (see below), whose sum is σ = 2946601349640. Its totient is φ = 436284281472.

The previous prime is 1334404158137. The next prime is 1334404158161. The reversal of 1334404158138 is 8318514044331.

1334404158138 is a `hidden beast` number, since 1 + 3 + 34 + 4 + 0 + 4 + 1 + 581 + 38 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1310216754609 + 24187403529 = 1144647^2 + 155523^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1334404158093 and 1334404158102.

It is not an unprimeable number, because it can be changed into a prime (1334404158133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3172528 + ... + 3568436.

Almost surely, 21334404158138 is an apocalyptic number.

1334404158138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1334404158138 is an abundant number, since it is smaller than the sum of its proper divisors (1612197191502).

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

1334404158138 is a wasteful number, since it uses less digits than its factorization.

1334404158138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399503 (or 399500 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1334404158138 in words is "one trillion, three hundred thirty-four billion, four hundred four million, one hundred fifty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 3533 7066 10599 21198 31797 63594 187249 374498 395909 561747 791818 1123494 1187727 1685241 2375454 3370482 3563181 7126362 20983177 41966354 62949531 125899062 188848593 377697186 1398746497 2797492994 4196239491 8392478982 12588718473 25177436946 74133564341 148267128682 222400693023 444801386046 667202079069 1334404158138