Search a number
-
+
14413321395 = 32511171712813
BaseRepresentation
bin11010110110001100…
…11101010010110011
31101012111012120221100
431123012131102303
5214004302241040
610342115255443
71020114132114
oct153306352263
941174176840
1014413321395
116126a42770
122962baa583
131489135a55
149aa34820b
15595578b30
hex35b19d4b3

14413321395 has 48 divisors (see below), whose sum is σ = 28857490272. Its totient is φ = 6577198080.

The previous prime is 14413321393. The next prime is 14413321423. The reversal of 14413321395 is 59312331441.

It is not a de Polignac number, because 14413321395 - 21 = 14413321393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14413321393) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 847992 + ... + 864821.

It is an arithmetic number, because the mean of its divisors is an integer number (601197714).

Almost surely, 214413321395 is an apocalyptic number.

14413321395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14413321395 is an abundant number, since it is smaller than the sum of its proper divisors (14444168877).

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

14413321395 is a wasteful number, since it uses less digits than its factorization.

14413321395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712852 (or 1712849 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The spelling of 14413321395 in words is "fourteen billion, four hundred thirteen million, three hundred twenty-one thousand, three hundred ninety-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 8415 1712813 5138439 8564065 15415317 18840943 25692195 29117821 56522829 77076585 87353463 94204715 145589105 169568487 262060389 282614145 320296031 436767315 847842435 960888093 1310301945 1601480155 2882664279 4804440465 14413321395