Search a number
-
+
4104014420 = 2251171262741
BaseRepresentation
bin1111010010011110…
…0100101001010100
3101121000102112102002
43310213210221110
531401111430140
61515123134432
7203462355422
oct36447445124
911530375362
104104014420
111816677860
12966514418
1350533c4cc
142ad0ac112
1519046e415
hexf49e4a54

4104014420 has 48 divisors (see below), whose sum is σ = 9534381696. Its totient is φ = 1471344000.

The previous prime is 4104014417. The next prime is 4104014441. The reversal of 4104014420 is 244104014.

It is a happy number.

4104014420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4104014392 and 4104014401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115751 + ... + 146990.

It is an arithmetic number, because the mean of its divisors is an integer number (198632952).

Almost surely, 24104014420 is an apocalyptic number.

It is an amenable number.

4104014420 is an abundant number, since it is smaller than the sum of its proper divisors (5430367276).

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

4104014420 is a wasteful number, since it uses less digits than its factorization.

4104014420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262832 (or 262830 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4104014420 is about 64062.5820584840. The cubic root of 4104014420 is about 1601.0428643943.

Adding to 4104014420 its reverse (244104014), we get a palindrome (4348118434).

The spelling of 4104014420 in words is "four billion, one hundred four million, fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7810 15620 262741 525482 1050964 1313705 2627410 2890151 5254820 5780302 11560604 14450755 18654611 28901510 37309222 57803020 74618444 93273055 186546110 205200721 373092220 410401442 820802884 1026003605 2052007210 4104014420