Search a number
-
+
134101123344 = 2434103473089
BaseRepresentation
bin111110011100100001…
…1001100000100010000
3110211010201220220020000
41330321003030010100
54144114341421334
6141334420250000
712455102512116
oct1747103140420
9424121826200
10134101123344
1151965651871
1221ba6240900
13c851741136
1466c2023ab6
15374ce11299
hex1f390cc110

134101123344 has 50 divisors (see below), whose sum is σ = 388127560590. Its totient is φ = 44700374016.

The previous prime is 134101123333. The next prime is 134101123361. The reversal of 134101123344 is 443321101431.

134101123344 is a `hidden beast` number, since 1 + 3 + 410 + 11 + 233 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96589180944 + 37511942400 = 310788^2 + 193680^2 .

It is a super-2 number, since 2×1341011233442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 51735249 + ... + 51737840.

Almost surely, 2134101123344 is an apocalyptic number.

It is an amenable number.

134101123344 is an abundant number, since it is smaller than the sum of its proper divisors (254026437246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134101123344 is a wasteful number, since it uses less digits than its factorization.

134101123344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103473109 (or 103473094 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 134101123344 its reverse (443321101431), we get a palindrome (577422224775).

The spelling of 134101123344 in words is "one hundred thirty-four billion, one hundred one million, one hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 103473089 206946178 310419267 413892356 620838534 827784712 931257801 1241677068 1655569424 1862515602 2483354136 2793773403 3725031204 4966708272 5587546806 7450062408 8381320209 11175093612 14900124816 16762640418 22350187224 33525280836 44700374448 67050561672 134101123344