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53114344341135 = 3571196894746253
BaseRepresentation
bin11000001001110101001011…
…01000000111111010001111
320222001200101222110220122120
430010322211220013322033
523430211134122404020
6304544220512544023
714121245652510240
oct1404724550077217
9228050358426576
1053114344341135
1115a18737768750
125b59aba552013
1323838797c5a1c
14d18a68670cc7
1562195ca8d740
hex304ea5a07e8f

53114344341135 has 64 divisors (see below), whose sum is σ = 105963727703040. Its totient is φ = 22071210900480.

The previous prime is 53114344341131. The next prime is 53114344341187.

53114344341135 is nontrivially palindromic in base 10.

53114344341135 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 53114344341135 - 22 = 53114344341131 is a prime.

It is a super-2 number, since 2×531143443411352 (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 (53114344341131) 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 63 ways as a sum of consecutive naturals, for example, 8817669 + ... + 13563921.

It is an arithmetic number, because the mean of its divisors is an integer number (1655683245360).

Almost surely, 253114344341135 is an apocalyptic number.

53114344341135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53114344341135 is a deficient number, since it is larger than the sum of its proper divisors (52849383361905).

53114344341135 is a wasteful number, since it uses less digits than its factorization.

53114344341135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755968.

The product of its digits is 518400, while the sum is 42.

It can be divided in two parts, 5311434 and 4341135, that added together give a palindrome (9652569).

The spelling of 53114344341135 in words is "fifty-three trillion, one hundred fourteen billion, three hundred forty-four million, three hundred forty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 9689 29067 48445 67823 106579 145335 203469 319737 339115 532895 746053 1017345 1598685 2238159 3730265 4746253 11190795 14238759 23731265 33223771 52208783 71193795 99671313 156626349 166118855 261043915 365461481 498356565 783131745 1096384443 1827307405 5481922215 45986445317 137959335951 229932226585 321905117219 505850898487 689796679755 965715351657 1517552695461 1609525586095 2529254492435 3540956289409 4828576758285 7587763477305 10622868868227 17704781447045 53114344341135