Search a number
-
+
3414545104101 = 323173577495749
BaseRepresentation
bin110001101100000010101…
…111110111110011100101
3110002102112112000111021020
4301230002233313303211
5421420442021312401
611132341555441353
7501456416334315
oct61540257676345
913072475014236
103414545104101
1110a711177006a
124719182b6259
131b9cb4695001
14bb39cb09445
155dc48047d36
hex31b02bf7ce5

3414545104101 has 32 divisors (see below), whose sum is σ = 4786422624000. Its totient is φ = 2161048817664.

The previous prime is 3414545104079. The next prime is 3414545104127. The reversal of 3414545104101 is 1014015454143.

It is not a de Polignac number, because 3414545104101 - 211 = 3414545102053 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414545104141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6639775 + ... + 7135523.

It is an arithmetic number, because the mean of its divisors is an integer number (149575707000).

Almost surely, 23414545104101 is an apocalyptic number.

It is an amenable number.

3414545104101 is a deficient number, since it is larger than the sum of its proper divisors (1371877519899).

3414545104101 is a wasteful number, since it uses less digits than its factorization.

3414545104101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496525.

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 3414545104101 in words is "three trillion, four hundred fourteen billion, five hundred forty-five million, one hundred four thousand, one hundred one".

Divisors: 1 3 23 69 173 519 577 1731 3979 11937 13271 39813 99821 299463 495749 1487247 2295883 6887649 11402227 34206681 85764577 257293731 286047173 858141519 1972585271 5917755813 6579084979 19737254937 49486160929 148458482787 1138181701367 3414545104101