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422434202434224 = 24359914692341487
BaseRepresentation
bin110000000001100111010000…
…0100100111011101010110000
32001101201022111220001112010120
41200003032200210323222300
5420332130221310343344
64054235332111130240
7154656602224162101
oct14003164044735260
92041638456045116
10422434202434224
11112667380489982
123b4666b3813980
13151934b3617c36
147645cd2b303a8
1533c873a3c5219
hex18033a093bab0

422434202434224 has 40 divisors (see below), whose sum is σ = 1093110206707200. Its totient is φ = 140576323338048.

The previous prime is 422434202434213. The next prime is 422434202434229.

422434202434224 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (422434202434229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7346141992 + ... + 7346199495.

It is an arithmetic number, because the mean of its divisors is an integer number (27327755167680).

Almost surely, 2422434202434224 is an apocalyptic number.

It is an amenable number.

422434202434224 is an abundant number, since it is smaller than the sum of its proper divisors (670676004272976).

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

422434202434224 is a wasteful number, since it uses less digits than its factorization.

422434202434224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14692342097 (or 14692342091 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 42.

It can be divided in two parts, 42243420 and 2434224, that added together give a palindrome (44677644).

The spelling of 422434202434224 in words is "four hundred twenty-two trillion, four hundred thirty-four billion, two hundred two million, four hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 599 1198 1797 2396 3594 4792 7188 9584 14376 28752 14692341487 29384682974 44077024461 58769365948 88154048922 117538731896 176308097844 235077463792 352616195688 705232391376 8800712550713 17601425101426 26402137652139 35202850202852 52804275304278 70405700405704 105608550608556 140811400811408 211217101217112 422434202434224