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35442111124453 = 1131571731795477
BaseRepresentation
bin10000000111100000000100…
…11100011001001111100101
311122111020021122220000201011
420003300002130121033211
514121140420421440303
6203213514151302221
710315415360612065
oct1003600234311745
9148436248800634
1035442111124453
1110324a07835000
123b84b0337a971
1316a123b3a8567
148a759ba073a5
15416de5dde16d
hex203c027193e5

35442111124453 has 64 divisors (see below), whose sum is σ = 39686421899520. Its totient is φ = 31646221052160.

The previous prime is 35442111124411. The next prime is 35442111124493.

35442111124453 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 35442111124453 - 225 = 35442077570021 is a prime.

It is a super-2 number, since 2×354421111244532 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35442111124493) 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 63 ways as a sum of consecutive naturals, for example, 6471078351 + ... + 6471083827.

It is an arithmetic number, because the mean of its divisors is an integer number (620100342180).

Almost surely, 235442111124453 is an apocalyptic number.

It is an amenable number.

35442111124453 is a deficient number, since it is larger than the sum of its proper divisors (4244310775067).

35442111124453 is a wasteful number, since it uses less digits than its factorization.

35442111124453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 5997 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

It can be divided in two parts, 3544211 and 1124453, that added together give a palindrome (4668664).

The spelling of 35442111124453 in words is "thirty-five trillion, four hundred forty-two billion, one hundred eleven million, one hundred twenty-four thousand, four hundred fifty-three".

Divisors: 1 11 121 157 173 179 1331 1727 1903 1969 5477 18997 20933 21659 27161 28103 30967 60247 208967 230263 238249 298771 309133 340637 662717 859889 947521 980383 3286481 3400463 3747007 4861819 7289887 9458779 10422731 10784213 36151291 37405093 41217077 53480009 104046569 114650041 118626343 148760797 153920131 169606259 588280099 1144512259 1261150451 1304889773 1636368767 1693121441 1865668849 6471081089 18000056437 18624335851 20522357339 26628182663 198000620807 204867694361 225745930729 292910009293 3222010102223 35442111124453