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13834185040 = 2451313302101
BaseRepresentation
bin11001110001001010…
…01110100101010000
31022201010110102012201
430320211032211100
5211313022410130
610204430332544
7666552426664
oct147045164520
938633412181
1013834185040
11595a044a85
12282105a154
1313c6163710
149534728a4
1555e7ccbca
hex33894e950

13834185040 has 40 divisors (see below), whose sum is σ = 34638673608. Its totient is φ = 5108006400.

The previous prime is 13834185031. The next prime is 13834185073. The reversal of 13834185040 is 4058143831.

It can be written as a sum of positive squares in 4 ways, for example, as 231161616 + 13603023424 = 15204^2 + 116632^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6650011 + ... + 6652090.

Almost surely, 213834185040 is an apocalyptic number.

13834185040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13834185040 is an abundant number, since it is smaller than the sum of its proper divisors (20804488568).

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

13834185040 is a wasteful number, since it uses less digits than its factorization.

13834185040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13302127 (or 13302121 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 13834185040 in words is "thirteen billion, eight hundred thirty-four million, one hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 13302101 26604202 53208404 66510505 106416808 133021010 172927313 212833616 266042020 345854626 532084040 691709252 864636565 1064168080 1383418504 1729273130 2766837008 3458546260 6917092520 13834185040