Search a number
-
+
134230165440 = 2635719974727
BaseRepresentation
bin111110100000010111…
…1011100011111000000
3110211110201201220200220
41331000233130133000
54144400410243230
6141355310143040
712461230403130
oct1750057343700
9424421656626
10134230165440
1151a2147a028
12220214b1a80
13c8723b28c7
1466d5214ac0
153759400d10
hex1f40bdc7c0

134230165440 has 112 divisors (see below), whose sum is σ = 487063767552. Its totient is φ = 30681179136.

The previous prime is 134230165429. The next prime is 134230165457. The reversal of 134230165440 is 44561032431.

It is a happy number.

134230165440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9980644 + ... + 9994083.

Almost surely, 2134230165440 is an apocalyptic number.

134230165440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134230165440 is an abundant number, since it is smaller than the sum of its proper divisors (352833602112).

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

134230165440 is a wasteful number, since it uses less digits than its factorization.

134230165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19974754 (or 19974744 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 134230165440 its reverse (44561032431), we get a palindrome (178791197871).

The spelling of 134230165440 in words is "one hundred thirty-four billion, two hundred thirty million, one hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 19974727 39949454 59924181 79898908 99873635 119848362 139823089 159797816 199747270 239696724 279646178 299620905 319595632 399494540 419469267 479393448 559292356 599241810 639191264 699115445 798989080 838938534 958786896 1118584712 1198483620 1278382528 1398230890 1597978160 1677877068 1917573792 2097346335 2237169424 2396967240 2796461780 3195956320 3355754136 3835147584 4194692670 4474338848 4793934480 5592923560 6391912640 6711508272 8389385340 8948677696 9587868960 11185847120 13423016544 16778770680 19175737920 22371694240 26846033088 33557541360 44743388480 67115082720 134230165440