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114174135361 = 111319105139983
BaseRepresentation
bin110101001010101001…
…1110000110001000001
3101220200222210000122001
41222111103300301001
53332312034312421
6124241215544001
711151225065206
oct1522523606101
9356628700561
10114174135361
114446a360860
121a16482b001
13a9c721aca0
145751705cad
152e837b8691
hex1a954f0c41

114174135361 has 32 divisors (see below), whose sum is σ = 141332244480. Its totient is φ = 90679176000.

The previous prime is 114174135349. The next prime is 114174135367. The reversal of 114174135361 is 163531471411.

It is a cyclic number.

It is not a de Polignac number, because 114174135361 - 215 = 114174102593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114174135361.

It is not an unprimeable number, because it can be changed into a prime (114174135367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2835576 + ... + 2875558.

It is an arithmetic number, because the mean of its divisors is an integer number (4416632640).

Almost surely, 2114174135361 is an apocalyptic number.

114174135361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114174135361 is a deficient number, since it is larger than the sum of its proper divisors (27158109119).

114174135361 is a wasteful number, since it uses less digits than its factorization.

114174135361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41077.

The product of its digits is 30240, while the sum is 37.

The spelling of 114174135361 in words is "one hundred fourteen billion, one hundred seventy-four million, one hundred thirty-five thousand, three hundred sixty-one".

Divisors: 1 11 13 19 143 209 247 1051 2717 11561 13663 19969 39983 150293 219659 259597 439813 519779 759677 2855567 5717569 8356447 9875801 42022133 108633811 462243463 546287729 798420527 6009165019 8782625797 10379466851 114174135361