Search a number
-
+
134412133401 = 33713315093467
BaseRepresentation
bin111110100101110010…
…1100110010000011001
3110211221102010211211000
41331023211212100121
54200234001232101
6141425330255213
712465600166020
oct1751345462031
9424842124730
10134412133401
1152005166277
1222072427509
13c8a0cc5460
1467114618b7
15376a397486
hex1f4b966419

134412133401 has 128 divisors (see below), whose sum is σ = 253557964800. Its totient is φ = 68457104640.

The previous prime is 134412133393. The next prime is 134412133459. The reversal of 134412133401 is 104331214431.

134412133401 is a `hidden beast` number, since 1 + 3 + 4 + 41 + 213 + 3 + 401 = 666.

It is not a de Polignac number, because 134412133401 - 23 = 134412133393 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (134412133481) 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 127 ways as a sum of consecutive naturals, for example, 38767270 + ... + 38770736.

It is an arithmetic number, because the mean of its divisors is an integer number (1980921600).

Almost surely, 2134412133401 is an apocalyptic number.

It is an amenable number.

134412133401 is a deficient number, since it is larger than the sum of its proper divisors (119145831399).

134412133401 is a wasteful number, since it uses less digits than its factorization.

134412133401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4030 counting only the distinct ones).

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

Adding to 134412133401 its reverse (104331214431), we get a palindrome (238743347832).

The spelling of 134412133401 in words is "one hundred thirty-four billion, four hundred twelve million, one hundred thirty-three thousand, four hundred one".

Divisors: 1 3 7 9 13 21 27 31 39 63 91 93 117 189 217 273 279 351 403 509 651 819 837 1209 1527 1953 2457 2821 3467 3563 3627 4581 5859 6617 8463 10401 10689 10881 13743 15779 19851 24269 25389 31203 32067 45071 46319 47337 59553 72807 76167 93609 96201 107477 110453 135213 138957 142011 178659 205127 218421 315497 322431 331359 405639 416871 426033 615381 655263 752339 946491 967293 994077 1216917 1250613 1397201 1435889 1764703 1846143 2257017 2839473 2901879 2982231 4191603 4307667 5294109 5538429 6771051 8518419 9780407 12352921 12574809 12923001 15882327 20313153 22941139 29341221 37058763 37724427 38769003 47646981 54705793 68823417 88023663 111176289 160587973 164117379 206470251 264070989 333528867 382940551 481763919 492352137 619410753 711175309 1148821653 1445291757 1477056411 2133525927 3446464959 4335875271 4978227163 6400577781 10339394877 14934681489 19201733343 44804044467 134412133401