Search a number
-
+
35400343231311 = 3431975212673707
BaseRepresentation
bin10000000110010010010001…
…11000100001101101001111
311122100020110210020012201220
420003021020320201231033
514114444400331400221
6203142405420334423
710312406335435632
oct1003111070415517
9148306423205656
1035400343231311
1110309223961753
123b789a73a4413
13169a312c97ba6
148a555871dc19
15415c9e0e20c6
hex203248e21b4f

35400343231311 has 32 divisors (see below), whose sum is σ = 48636502472448. Its totient is φ = 22890345703680.

The previous prime is 35400343231283. The next prime is 35400343231339. The reversal of 35400343231311 is 11313234300453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (35400343231283) and next prime (35400343231339).

It is not a de Polignac number, because 35400343231311 - 226 = 35400276122447 is a prime.

It is a super-3 number, since 3×354003432313113 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35400343231511) 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 31 ways as a sum of consecutive naturals, for example, 11903320 + ... + 14577026.

It is an arithmetic number, because the mean of its divisors is an integer number (1519890702264).

Almost surely, 235400343231311 is an apocalyptic number.

35400343231311 is a deficient number, since it is larger than the sum of its proper divisors (13236159241137).

35400343231311 is a wasteful number, since it uses less digits than its factorization.

35400343231311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674471.

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 35400343231311 its reverse (11313234300453), we get a palindrome (46713577531764).

The spelling of 35400343231311 in words is "thirty-five trillion, four hundred billion, three hundred forty-three million, two hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 43 129 197 521 591 1563 8471 22403 25413 67209 102637 307911 2673707 4413391 8021121 13240173 114969401 344908203 526720279 1393001347 1580160837 4179004041 22648971997 59899057921 67946915991 179697173763 274421265359 823263796077 11800114410437 35400343231311