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422314444413224 = 231121069408115297
BaseRepresentation
bin110000000000101111011111…
…0011100010101100100101000
32001101021212101202012201102022
41200001132332130111210220
5420323144440232210344
64054104324421124012
7154645132423613606
oct14001367634254450
92041255352181368
10422314444413224
1111262060617a200
123b447450b59608
13151851095c540c
1476401b19b6876
1533c557b7bc0ee
hex18017be715928

422314444413224 has 48 divisors (see below), whose sum is σ = 871183320875700. Its totient is φ = 191781539896320.

The previous prime is 422314444413223. The next prime is 422314444413247.

422314444413224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 408362859840100 + 13951584573124 = 20207990^2 + 3735182^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (422314444413221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203022857 + ... + 205092440.

Almost surely, 2422314444413224 is an apocalyptic number.

422314444413224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422314444413224 is an abundant number, since it is smaller than the sum of its proper divisors (448868876462476).

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

422314444413224 is a wasteful number, since it uses less digits than its factorization.

422314444413224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408116394 (or 408116379 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 44.

The spelling of 422314444413224 in words is "four hundred twenty-two trillion, three hundred fourteen billion, four hundred forty-four million, four hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1069 2138 4276 8552 11759 23518 47036 94072 129349 258698 517396 1034792 408115297 816230594 1632461188 3264922376 4489268267 8978536534 17957073068 35914146136 49381950937 98763901874 197527803748 395055607496 436275252493 872550504986 1745101009972 3490202019944 4799027777423 9598055554846 19196111109692 38392222219384 52789305551653 105578611103306 211157222206612 422314444413224