Search a number
-
+
134655312420 = 223253377612917
BaseRepresentation
bin111110101101000010…
…1010000001000100100
3110212120100201121201100
41331122011100020210
54201233224444140
6141505414400100
712504612161526
oct1753205201044
9425510647640
10134655312420
115211a460272
122211b960030
13c90c4ba275
146735883a16
1537818d0530
hex1f5a150224

134655312420 has 144 divisors (see below), whose sum is σ = 410345430768. Its totient is φ = 35742228480.

The previous prime is 134655312419. The next prime is 134655312431. The reversal of 134655312420 is 24213556431.

134655312420 is a `hidden beast` number, since 1 + 3 + 465 + 53 + 124 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4484445156 + 130170867264 = 66966^2 + 360792^2 .

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 47 ways as a sum of consecutive naturals, for example, 46160802 + ... + 46163718.

It is an arithmetic number, because the mean of its divisors is an integer number (2849621047).

Almost surely, 2134655312420 is an apocalyptic number.

134655312420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134655312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205172715384).

134655312420 is an abundant number, since it is smaller than the sum of its proper divisors (275690118348).

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

134655312420 is a wasteful number, since it uses less digits than its factorization.

134655312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 134655312420 its reverse (24213556431), we get a palindrome (158868868851).

The spelling of 134655312420 in words is "one hundred thirty-four billion, six hundred fifty-five million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 337 674 761 1011 1348 1522 1685 2022 2283 2917 3033 3044 3370 3805 4044 4566 5055 5834 6066 6740 6849 7610 8751 9132 10110 11415 11668 12132 13698 14585 15165 15220 17502 20220 22830 26253 27396 29170 30330 34245 35004 43755 45660 52506 58340 60660 68490 87510 105012 131265 136980 175020 256457 262530 512914 525060 769371 983029 1025828 1282285 1538742 1966058 2219837 2308113 2564570 2949087 3077484 3846855 3932116 4439674 4616226 4915145 5129140 5898174 6659511 7693710 8847261 8879348 9232452 9830290 11099185 11540565 11796348 13319022 14745435 15387420 17694522 19660580 19978533 22198370 23081130 26638044 29490870 33297555 35389044 39957066 44236305 44396740 46162260 58981740 66595110 79914132 88472610 99892665 133190220 176945220 199785330 399570660 748085069 1496170138 2244255207 2992340276 3740425345 4488510414 6732765621 7480850690 8977020828 11221276035 13465531242 14961701380 22442552070 26931062484 33663828105 44885104140 67327656210 134655312420