Search a number
-
+
414439403471 = 59107100965063
BaseRepresentation
bin1100000011111101000…
…00110110111111001111
31110121201222212001210222
412001332200312333033
523242232441402341
6514220230421555
741641123543142
oct6017640667717
91417658761728
10414439403471
1114a8432699a5
12683a2b018bb
1330109ca6972
14160b7b7a059
15aba93c544b
hex607e836fcf

414439403471 has 16 divisors (see below), whose sum is σ = 425830867200. Its totient is φ = 403201185408.

The previous prime is 414439403467. The next prime is 414439403489. The reversal of 414439403471 is 174304934414.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 414439403471 - 22 = 414439403467 is a prime.

It is a super-5 number, since 5×4144394034715 (a number of 59 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414439493471) 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 15 ways as a sum of consecutive naturals, for example, 6337286 + ... + 6402348.

It is an arithmetic number, because the mean of its divisors is an integer number (26614429200).

Almost surely, 2414439403471 is an apocalyptic number.

414439403471 is a deficient number, since it is larger than the sum of its proper divisors (11391463729).

414439403471 is a wasteful number, since it uses less digits than its factorization.

414439403471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66238.

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 414439403471 in words is "four hundred fourteen billion, four hundred thirty-nine million, four hundred three thousand, four hundred seventy-one".

Divisors: 1 59 107 1009 6313 59531 65063 107963 3838717 6369817 6961741 65648567 410742719 3873265453 7024396669 414439403471