Search a number
-
+
42155306112335 = 51353114371069919
BaseRepresentation
bin10011001010111000011000…
…00010111101010101001111
312112021000012202121210220012
421211130030002331111033
521011133031331043320
6225353514050143435
711610422532525233
oct1145341402752517
9175230182553805
1042155306112335
1112482a6834a809
124889b92881b7b
131a6a2c7797b10
14a5a4833025c3
154d185254a4c5
hex26570c0bd54f

42155306112335 has 32 divisors (see below), whose sum is σ = 55510411138560. Its totient is φ = 30540013291008.

The previous prime is 42155306112331. The next prime is 42155306112341. The reversal of 42155306112335 is 53321160355124.

42155306112335 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42155306112335 - 22 = 42155306112331 is a prime.

It is a super-2 number, since 2×421553061123352 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42155306112292 and 42155306112301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42155306112331) 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, 38865506 + ... + 39935424.

It is an arithmetic number, because the mean of its divisors is an integer number (1734700348080).

Almost surely, 242155306112335 is an apocalyptic number.

42155306112335 is a deficient number, since it is larger than the sum of its proper divisors (13355105026225).

42155306112335 is a wasteful number, since it uses less digits than its factorization.

42155306112335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081427.

The product of its (nonzero) digits is 324000, while the sum is 41.

Adding to 42155306112335 its reverse (53321160355124), we get a palindrome (95476466467459).

The spelling of 42155306112335 in words is "forty-two trillion, one hundred fifty-five billion, three hundred six million, one hundred twelve thousand, three hundred thirty-five".

Divisors: 1 5 13 53 65 265 689 3445 11437 57185 148681 606161 743405 1069919 3030805 5349595 7880093 13908947 39400465 56705707 69544735 283528535 737174191 3685870955 12236663603 61183318015 159076626839 648543170959 795383134195 3242715854795 8431061222467 42155306112335