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4221432340224 = 283113713505299
BaseRepresentation
bin111101011011100000111…
…110011001111100000000
3112221120020212201002002020
4331123200332121330000
51023130443134341344
612551144345321440
7613663012563051
oct75334076317400
915846225632066
104221432340224
11138833255a240
12582185196280
13248105485218
14108465a36728
1574c20ccc719
hex3d6e0f99f00

4221432340224 has 144 divisors (see below), whose sum is σ = 12587803939200. Its totient is φ = 1244648263680.

The previous prime is 4221432340199. The next prime is 4221432340319. The reversal of 4221432340224 is 4220432341224.

It is a happy number.

It is a super-3 number, since 3×42214323402243 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6440074 + ... + 7065225.

Almost surely, 24221432340224 is an apocalyptic number.

4221432340224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4221432340224 is an abundant number, since it is smaller than the sum of its proper divisors (8366371598976).

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

4221432340224 is a wasteful number, since it uses less digits than its factorization.

4221432340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13505366 (or 13505352 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 4221432340224 its reverse (4220432341224), we get a palindrome (8441864681448).

The spelling of 4221432340224 in words is "four trillion, two hundred twenty-one billion, four hundred thirty-two million, three hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 256 264 296 352 384 407 444 528 592 704 768 814 888 1056 1184 1221 1408 1628 1776 2112 2368 2442 2816 3256 3552 4224 4736 4884 6512 7104 8448 9472 9768 13024 14208 19536 26048 28416 39072 52096 78144 104192 156288 312576 13505299 27010598 40515897 54021196 81031794 108042392 148558289 162063588 216084784 297116578 324127176 432169568 445674867 499696063 594233156 648254352 864339136 891349734 999392126 1188466312 1296508704 1499088189 1728678272 1782699468 1998784252 2376932624 2593017408 2998176378 3457356544 3565398936 3997568504 4753865248 5186034816 5496656693 5996352756 7130797872 7995137008 9507730496 10372069632 10993313386 11992705512 14261595744 15990274016 16489970079 19015460992 21986626772 23985411024 28523191488 31980548032 32979940158 38030921984 43973253544 47970822048 57046382976 63961096064 65959880316 87946507088 95941644096 114092765952 127922192128 131919760632 175893014176 191883288192 263839521264 351786028352 383766576384 527679042528 703572056704 1055358085056 1407144113408 2110716170112 4221432340224