Search a number
-
+
34514532141104 = 2419532142163117
BaseRepresentation
bin1111101100100000010100…
…11011011000100000110000
311112012120001002101102121002
413312100022123120200300
514010441230212003404
6201223431314421132
710161410165421221
oct766201233304060
9145176032342532
1034514532141104
11aaa7592668894
123a55192b917a8
131634924cc10c2
14874725947248
153ecc075b1c1e
hex1f640a6d8830

34514532141104 has 40 divisors (see below), whose sum is σ = 71719621190640. Its totient is φ = 16040517412608.

The previous prime is 34514532141079. The next prime is 34514532141139. The reversal of 34514532141104 is 40114123541543.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 7 ways as a sum of consecutive naturals, for example, 1071065447 + ... + 1071097670.

It is an arithmetic number, because the mean of its divisors is an integer number (1792990529766).

Almost surely, 234514532141104 is an apocalyptic number.

It is an amenable number.

34514532141104 is an abundant number, since it is smaller than the sum of its proper divisors (37205089049536).

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

34514532141104 is a wasteful number, since it uses less digits than its factorization.

34514532141104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142163197 (or 2142163191 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

Adding to 34514532141104 its reverse (40114123541543), we get a palindrome (74628655682647).

The spelling of 34514532141104 in words is "thirty-four trillion, five hundred fourteen billion, five hundred thirty-two million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 19 38 53 76 106 152 212 304 424 848 1007 2014 4028 8056 16112 2142163117 4284326234 8568652468 17137304936 34274609872 40701099223 81402198446 113534645201 162804396892 227069290402 325608793784 454138580804 651217587568 908277161608 1816554323216 2157158258819 4314316517638 8628633035276 17257266070552 34514532141104