Search a number
-
+
134462114280 = 233251328731221
BaseRepresentation
bin111110100111010010…
…0010000100111101000
3110212001220012010200200
41331032210100213220
54200334300124110
6141434313432200
712500045053614
oct1751644204750
9425056163620
10134462114280
11520303a368a
122208710b660
13c8ab474c40
146717d52344
15376e96b6c0
hex1f4e9109e8

134462114280 has 96 divisors (see below), whose sum is σ = 470617416360. Its totient is φ = 33098365440.

The previous prime is 134462114279. The next prime is 134462114291. The reversal of 134462114280 is 82411264431.

134462114280 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 621 + 1 + 4 + 28 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88098550596 + 46363563684 = 296814^2 + 215322^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14360931 + ... + 14370290.

Almost surely, 2134462114280 is an apocalyptic number.

134462114280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134462114280 is an abundant number, since it is smaller than the sum of its proper divisors (336155302080).

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

134462114280 is a wasteful number, since it uses less digits than its factorization.

134462114280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28731251 (or 28731244 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 134462114280 in words is "one hundred thirty-four billion, four hundred sixty-two million, one hundred fourteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 28731221 57462442 86193663 114924884 143656105 172387326 229849768 258580989 287312210 344774652 373505873 430968315 517161978 574624420 689549304 747011746 861936630 1034323956 1120517619 1149248840 1292904945 1494023492 1723873260 1867529365 2068647912 2241035238 2585809890 2988046984 3361552857 3447746520 3735058730 4482070476 5171619780 5602588095 6723105714 7470117460 8964140952 10343239560 11205176190 13446211428 14940234920 16807764285 22410352380 26892422856 33615528570 44820704760 67231057140 134462114280