Search a number
-
+
134326460136461 = 3789293448131069
BaseRepresentation
bin11110100010101101010000…
…111100001011110000001101
3122121121111001222001012221012
4132202231100330023300031
5120101301042243331321
61153404420205415005
740202523622120235
oct3642552074136015
9577544058035835
10134326460136461
113988959395526a
121309544b86a465
1359c4c1408b5a8
1425256148b0cc5
15107e215ba805b
hex7a2b50f0bc0d

134326460136461 has 32 divisors (see below), whose sum is σ = 140018861455200. Its totient is φ = 128753586339840.

The previous prime is 134326460136443. The next prime is 134326460136487. The reversal of 134326460136461 is 164631064623431.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2228078655625 + 132098381480836 = 1492675^2 + 11493406^2 .

It is a cyclic number.

It is not a de Polignac number, because 134326460136461 - 26 = 134326460136397 is a prime.

It is a super-2 number, since 2×1343264601364612 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134326460132461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4323472835 + ... + 4323503903.

It is an arithmetic number, because the mean of its divisors is an integer number (4375589420475).

Almost surely, 2134326460136461 is an apocalyptic number.

It is an amenable number.

134326460136461 is a deficient number, since it is larger than the sum of its proper divisors (5692401318739).

134326460136461 is a wasteful number, since it uses less digits than its factorization.

134326460136461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35969.

The product of its (nonzero) digits is 4478976, while the sum is 50.

The spelling of 134326460136461 in words is "one hundred thirty-four trillion, three hundred twenty-six billion, four hundred sixty million, one hundred thirty-six thousand, four hundred sixty-one".

Divisors: 1 37 89 293 3293 4481 10841 26077 31069 165797 398809 964849 1149553 1312933 2765141 9103217 14755933 48578521 102310217 116851037 139220189 336819029 810186313 4323488369 5151146993 12390596821 29976893581 40791515377 458452082377 1509286068949 3630444868553 134326460136461