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10344465541540 = 22513319112468319
BaseRepresentation
bin1001011010001000001000…
…1100011010100110100100
31100121220212120220211110101
42112202002030122212210
52323440431134312130
634000103141033444
72115235333213204
oct226420214324644
940556776824411
1010344465541540
113329077133859
1211b09b06b5884
135a062c239a50
1427a963938404
1512e13b16c1ca
hex9688231a9a4

10344465541540 has 48 divisors (see below), whose sum is σ = 23401739934720. Its totient is φ = 3818297704320.

The previous prime is 10344465541369. The next prime is 10344465541583. The reversal of 10344465541540 is 4514556444301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5404500 + ... + 7063819.

It is an arithmetic number, because the mean of its divisors is an integer number (487536248640).

Almost surely, 210344465541540 is an apocalyptic number.

10344465541540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344465541540 is an abundant number, since it is smaller than the sum of its proper divisors (13057274393180).

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

10344465541540 is a wasteful number, since it uses less digits than its factorization.

10344465541540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12471532 (or 12471530 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 46.

The spelling of 10344465541540 in words is "ten trillion, three hundred forty-four billion, four hundred sixty-five million, five hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 3191 6382 12764 15955 31910 41483 63820 82966 165932 207415 414830 829660 12468319 24936638 49873276 62341595 124683190 162088147 249366380 324176294 648352588 810440735 1620881470 3241762940 39786405929 79572811858 159145623716 198932029645 397864059290 517223277077 795728118580 1034446554154 2068893108308 2586116385385 5172232770770 10344465541540