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4214331020224 = 261323220230509
BaseRepresentation
bin111101010100111001101…
…101000001001111000000
3112220212220222022122101101
4331110321231001033000
51023021422220121344
612544011551344144
7613322023423153
oct75247155011700
915825828278341
104214331020224
111385318aa2436
12580922b22054
13247543195a20
14107d90863c9a
157495764c9d4
hex3d539b413c0

4214331020224 has 56 divisors (see below), whose sum is σ = 9397676322720. Its totient is φ = 1860507331584.

The previous prime is 4214331020183. The next prime is 4214331020269. The reversal of 4214331020224 is 4220201334124.

It is a junction number, because it is equal to n+sod(n) for n = 4214331020192 and 4214331020201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110096119 + ... + 110134390.

It is an arithmetic number, because the mean of its divisors is an integer number (167815648620).

Almost surely, 24214331020224 is an apocalyptic number.

It is an amenable number.

4214331020224 is an abundant number, since it is smaller than the sum of its proper divisors (5183345302496).

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

4214331020224 is a wasteful number, since it uses less digits than its factorization.

4214331020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220230557 (or 220230547 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4214331020224 its reverse (4220201334124), we get a palindrome (8434532354348).

The spelling of 4214331020224 in words is "four trillion, two hundred fourteen billion, three hundred thirty-one million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 299 368 416 598 736 832 1196 1472 2392 4784 9568 19136 220230509 440461018 880922036 1761844072 2862996617 3523688144 5065301707 5725993234 7047376288 10130603414 11451986468 14094752576 20261206828 22903972936 40522413656 45807945872 65848922191 81044827312 91615891744 131697844382 162089654624 183231783488 263395688764 324179309248 526791377528 1053582755056 2107165510112 4214331020224