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114253416015 = 35193147275147
BaseRepresentation
bin110101001101000001…
…0001100011001001111
3101220220111221220020120
41222122002030121033
53332442333303030
6124253131120023
711153210004144
oct1523202143117
9356814856216
10114253416015
1144500090562
121a1872a3013
13aa0a788b0b
14575c0623cb
152e8a729010
hex1a9a08c64f

114253416015 has 64 divisors (see below), whose sum is σ = 202861117440. Its totient is φ = 54677013120.

The previous prime is 114253415963. The next prime is 114253416049. The reversal of 114253416015 is 510614352411.

It is not a de Polignac number, because 114253416015 - 212 = 114253411919 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277672 + ... + 552818.

It is an arithmetic number, because the mean of its divisors is an integer number (3169704960).

Almost surely, 2114253416015 is an apocalyptic number.

114253416015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114253416015 is a deficient number, since it is larger than the sum of its proper divisors (88607701425).

114253416015 is a wasteful number, since it uses less digits than its factorization.

114253416015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275252.

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 114253416015 its reverse (510614352411), we get a palindrome (624867768426).

The spelling of 114253416015 in words is "one hundred fourteen billion, two hundred fifty-three million, four hundred sixteen thousand, fifteen".

Divisors: 1 3 5 15 19 31 47 57 93 95 141 155 235 285 465 589 705 893 1457 1767 2679 2945 4371 4465 7285 8835 13395 21855 27683 83049 138415 275147 415245 825441 1375735 4127205 5227793 8529557 12931909 15683379 25588671 26138965 38795727 42647785 64659545 78416895 127943355 162061583 193978635 245706271 400889179 486184749 737118813 810307915 1202667537 1228531355 2004445895 2430923745 3685594065 6013337685 7616894401 22850683203 38084472005 114253416015