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220114440143424 = 26321932119383963
BaseRepresentation
bin110010000011000101100011…
…000000111100001001000000
31001212100201211210102012022200
4302003011203000330021000
5212322323333134042144
62100051102225033200
764235513010451431
oct6203054300741100
91055321753365280
10220114440143424
11641540120a8a12
122082b7a0785800
1395a89199196c8
143c4d84aa2d488
151a6aa35c35c69
hexc8316303c240

220114440143424 has 168 divisors, whose sum is σ = 637193001468192. Its totient is φ = 72645378785280.

The previous prime is 220114440143407. The next prime is 220114440143459. The reversal of 220114440143424 is 424341044411022.

220114440143424 is a `hidden beast` number, since 2 + 2 + 0 + 11 + 44 + 40 + 143 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18764467 + ... + 28148429.

Almost surely, 2220114440143424 is an apocalyptic number.

220114440143424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220114440143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318596500734096).

220114440143424 is an abundant number, since it is smaller than the sum of its proper divisors (417078561324768).

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

220114440143424 is a wasteful number, since it uses less digits than its factorization.

220114440143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9384385 (or 9384372 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 220114440143424 its reverse (424341044411022), we get a palindrome (644455484554446).

The spelling of 220114440143424 in words is "two hundred twenty trillion, one hundred fourteen billion, four hundred forty million, one hundred forty-three thousand, four hundred twenty-four".