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134114100141344 = 255390053878113
BaseRepresentation
bin11110011111100111011111…
…010011000101110100100000
3122120212011221020020201121212
4132133213133103011310200
5120034311134114010334
61153123100030005252
740151265266003111
oct3637473723056440
9576764836221555
10134114100141344
113980751a200874
1213060264946828
1359aaba016214b
14251922b062208
1510789375a2ece
hex79f9df4c5d20

134114100141344 has 48 divisors (see below), whose sum is σ = 269022261086712. Its totient is φ = 65791017197568.

The previous prime is 134114100141283. The next prime is 134114100141379. The reversal of 134114100141344 is 443141001411431.

It can be written as a sum of positive squares in 4 ways, for example, as 132549629520400 + 1564470620944 = 11513020^2 + 1250788^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 134114100141344.

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, 152290832 + ... + 153168944.

Almost surely, 2134114100141344 is an apocalyptic number.

It is an amenable number.

134114100141344 is an abundant number, since it is smaller than the sum of its proper divisors (134908160945368).

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

134114100141344 is an equidigital number, since it uses as much as digits as its factorization.

134114100141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968229 (or 968221 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 134114100141344 its reverse (443141001411431), we get a palindrome (577255101552775).

The spelling of 134114100141344 in words is "one hundred thirty-four trillion, one hundred fourteen billion, one hundred million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 90053 180106 360212 720424 878113 1440848 1756226 2881696 3512452 4772809 7024904 9545618 14049808 19091236 28099616 38182472 46539989 76364944 93079978 152729888 186159956 372319912 744639824 1489279648 79076709989 158153419978 316306839956 632613679912 1265227359824 2530454719648 4191065629417 8382131258834 16764262517668 33528525035336 67057050070672 134114100141344