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3224491366144 = 2883353429901
BaseRepresentation
bin101110111011000010101…
…010011001011100000000
3102102020222100101021021111
4232323002222121130000
5410312224242204034
610505151052333104
7451650621245656
oct56730252313400
912366870337244
103224491366144
11103355434a844
12440b17774194
131a50b6b996b9
14b20cd99cdd6
1558d22db9364
hex2eec2a99700

3224491366144 has 72 divisors (see below), whose sum is σ = 6532402160592. Its totient is φ = 1588305100800.

The previous prime is 3224491366133. The next prime is 3224491366169. The reversal of 3224491366144 is 4416631944223.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7285594 + ... + 7715494.

It is an arithmetic number, because the mean of its divisors is an integer number (90727807786).

Almost surely, 23224491366144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3224491366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266201080296).

3224491366144 is an abundant number, since it is smaller than the sum of its proper divisors (3307910794448).

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

3224491366144 is an equidigital number, since it uses as much as digits as its factorization.

3224491366144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430353 (or 430339 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 49.

The spelling of 3224491366144 in words is "three trillion, two hundred twenty-four billion, four hundred ninety-one million, three hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 353 664 706 1328 1412 2656 2824 5312 5648 10624 11296 21248 22592 29299 45184 58598 90368 117196 234392 429901 468784 859802 937568 1719604 1875136 3439208 3750272 6878416 7500544 13756832 27513664 35681783 55027328 71363566 110054656 142727132 151755053 285454264 303510106 570908528 607020212 1141817056 1214040424 2283634112 2428080848 4567268224 4856161696 9134536448 9712323392 12595669399 19424646784 25191338798 38849293568 50382677596 100765355192 201530710384 403061420768 806122841536 1612245683072 3224491366144