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134114121040 = 24516033104561
BaseRepresentation
bin111110011100111010…
…0110001010101010000
3110211011122101020201011
41330321310301111100
54144131203333130
6141340003020304
712455321135224
oct1747164612520
9424148336634
10134114121040
1151971a1a169
1221baa66a694
13c854342293
1466c3a48784
15374e12c52a
hex1f39d31550

134114121040 has 40 divisors (see below), whose sum is σ = 311837762088. Its totient is φ = 53641789440.

The previous prime is 134114120999. The next prime is 134114121047. The reversal of 134114121040 is 40121411431.

It can be written as a sum of positive squares in 4 ways, for example, as 3746908944 + 130367212096 = 61212^2 + 361064^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134114121047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1230360 + ... + 1334920.

Almost surely, 2134114121040 is an apocalyptic number.

134114121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134114121040 is an abundant number, since it is smaller than the sum of its proper divisors (177723641048).

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

134114121040 is a wasteful number, since it uses less digits than its factorization.

134114121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120607 (or 120601 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 134114121040 its reverse (40121411431), we get a palindrome (174235532471).

The spelling of 134114121040 in words is "one hundred thirty-four billion, one hundred fourteen million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 16033 32066 64132 80165 104561 128264 160330 209122 256528 320660 418244 522805 641320 836488 1045610 1282640 1672976 2091220 4182440 8364880 1676426513 3352853026 6705706052 8382132565 13411412104 16764265130 26822824208 33528530260 67057060520 134114121040