Search a number
-
+
3434014155251 = 41101213016311
BaseRepresentation
bin110001111110001011001…
…100011010000111110011
3110011021210100110202121202
4301332023030122013303
5422230330110432001
611145321521041415
7503046033464351
oct61761314320763
913137710422552
103434014155251
1111043a2514389
1247565048626b
131bba9806ca14
14bc2c86a07d1
155e4d738596b
hex31f8b31a1f3

3434014155251 has 24 divisors (see below), whose sum is σ = 3556239198624. Its totient is φ = 3314012000000.

The previous prime is 3434014155217. The next prime is 3434014155259. The reversal of 3434014155251 is 1525514104343.

It is a de Polignac number, because none of the positive numbers 2k-3434014155251 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3434014155259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544128386 + ... + 544134696.

It is an arithmetic number, because the mean of its divisors is an integer number (148176633276).

Almost surely, 23434014155251 is an apocalyptic number.

3434014155251 is a deficient number, since it is larger than the sum of its proper divisors (122225043373).

3434014155251 is a wasteful number, since it uses less digits than its factorization.

3434014155251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7855 (or 7754 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

Adding to 3434014155251 its reverse (1525514104343), we get a palindrome (4959528259594).

The spelling of 3434014155251 in words is "three trillion, four hundred thirty-four billion, fourteen million, one hundred fifty-five thousand, two hundred fifty-one".

Divisors: 1 41 101 1301 4141 6311 10201 53341 131401 258751 418241 637411 5387441 8210611 13271501 26133851 64378511 336635051 544131541 829271711 2639518951 34000140151 83756442811 3434014155251