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414223323020 = 2251321011213379
BaseRepresentation
bin1100000011100011010…
…00100100111110001100
31110121011221021001011022
412001301220210332030
523241312132314040
6514142551213312
741632561103033
oct6016150447614
91417157231138
10414223323020
1114a7422a3511
1268342677238
13300a42ac300
14160971ad71a
15ab954416b5
hex6071a24f8c

414223323020 has 72 divisors (see below), whose sum is σ = 951255945360. Its totient is φ = 151429574400.

The previous prime is 414223323011. The next prime is 414223323023. The reversal of 414223323020 is 20323322414.

It is a super-2 number, since 2×4142233230202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (414223323023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265310 + ... + 948069.

It is an arithmetic number, because the mean of its divisors is an integer number (13211888130).

Almost surely, 2414223323020 is an apocalyptic number.

It is an amenable number.

414223323020 is an abundant number, since it is smaller than the sum of its proper divisors (537032622340).

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

414223323020 is a wasteful number, since it uses less digits than its factorization.

414223323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213515 (or 1213500 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 414223323020 its reverse (20323322414), we get a palindrome (434546645434).

The spelling of 414223323020 in words is "four hundred fourteen billion, two hundred twenty-three million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 169 202 260 338 404 505 676 845 1010 1313 1690 2020 2626 3380 5252 6565 13130 17069 26260 34138 68276 85345 170690 341380 1213379 2426758 4853516 6066895 12133790 15773927 24267580 31547854 63095708 78869635 122551279 157739270 205061051 245102558 315478540 410122102 490205116 612756395 820244204 1025305255 1225512790 1593166627 2050610510 2451025580 3186333254 4101221020 6372666508 7965833135 15931666270 20711166151 31863332540 41422332302 82844664604 103555830755 207111661510 414223323020