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3301410141344 = 257139123785717
BaseRepresentation
bin110000000010101011011…
…000001111010010100000
3102200121111221121220110102
4300002223120033102200
5413042241444010334
611004351420521532
7460343010120620
oct60025330172240
912617457556412
103301410141344
111063135a59047
12453a036b02a8
131ac42484b273
14b5b0942a880
155ad25aec67e
hex300ab60f4a0

3301410141344 has 96 divisors (see below), whose sum is σ = 7487748455040. Its totient is φ = 1403559042048.

The previous prime is 3301410141307. The next prime is 3301410141373. The reversal of 3301410141344 is 4431410141033.

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, 38472374 + ... + 38558090.

It is an arithmetic number, because the mean of its divisors is an integer number (77997379740).

Almost surely, 23301410141344 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 3301410141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743874227520).

3301410141344 is an abundant number, since it is smaller than the sum of its proper divisors (4186338313696).

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

3301410141344 is a wasteful number, since it uses less digits than its factorization.

3301410141344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87110 (or 87102 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 3301410141344 its reverse (4431410141033), we get a palindrome (7732820282377).

The spelling of 3301410141344 in words is "three trillion, three hundred one billion, four hundred ten million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 139 224 278 556 973 1112 1237 1946 2224 2474 3892 4448 4948 7784 8659 9896 15568 17318 19792 31136 34636 39584 69272 85717 138544 171434 171943 277088 342868 343886 600019 685736 687772 1200038 1203601 1371472 1375544 2400076 2407202 2742944 2751088 4800152 4814404 5502176 9600304 9628808 11914663 19200608 19257616 23829326 38515232 47658652 83402641 95317304 106031929 166805282 190634608 212063858 333610564 381269216 424127716 667221128 742223503 848255432 1334442256 1484447006 1696510864 2668884512 2968894012 3393021728 5937788024 11875576048 14738438131 23751152096 29476876262 58953752524 103169066917 117907505048 206338133834 235815010096 412676267668 471630020192 825352535336 1650705070672 3301410141344