Search a number
-
+
134133220032 = 2637412434183
BaseRepresentation
bin111110011101011110…
…1101000001011000000
3110211012222022120121020
41330322331220023000
54144201101020112
6141341524225440
712455642362350
oct1747275501300
9424188276536
10134133220032
1151981784559
1221bb4b3b280
13c85829b566
1466c63bab60
153750b5148c
hex1f3af682c0

134133220032 has 112 divisors (see below), whose sum is σ = 415485998592. Its totient is φ = 37389035520.

The previous prime is 134133220027. The next prime is 134133220033. The reversal of 134133220032 is 230022331431.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 134133219984 and 134133220011.

It is not an unprimeable number, because it can be changed into a prime (134133220033) by changing a digit.

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, 1161988 + ... + 1272195.

It is an arithmetic number, because the mean of its divisors is an integer number (3709696416).

Almost surely, 2134133220032 is an apocalyptic number.

134133220032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134133220032 is an abundant number, since it is smaller than the sum of its proper divisors (281352778560).

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

134133220032 is a wasteful number, since it uses less digits than its factorization.

134133220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434246 (or 2434236 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 134133220032 its reverse (230022331431), we get a palindrome (364155551463).

The spelling of 134133220032 in words is "one hundred thirty-four billion, one hundred thirty-three million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 164 168 192 224 246 287 328 336 448 492 574 656 672 861 984 1148 1312 1344 1722 1968 2296 2624 3444 3936 4592 6888 7872 9184 13776 18368 27552 55104 2434183 4868366 7302549 9736732 14605098 17039281 19473464 29210196 34078562 38946928 51117843 58420392 68157124 77893856 99801503 102235686 116840784 136314248 155787712 199603006 204471372 233681568 272628496 299404509 399206012 408942744 467363136 545256992 598809018 698610521 798412024 817885488 1090513984 1197618036 1397221042 1596824048 1635770976 2095831563 2395236072 2794442084 3193648096 3271541952 4191663126 4790472144 5588884168 6387296192 8383326252 9580944288 11177768336 16766652504 19161888576 22355536672 33533305008 44711073344 67066610016 134133220032