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10144341410 = 2575919912343
BaseRepresentation
bin10010111001010011…
…00101110110100010
3222011222100221022112
421130221211312202
5131233422411120
64354340235322
7506246323250
oct113451456642
928158327275
1010144341410
114336241935
121b7139bb42
13c588878a8
146c33b75d0
153e58c0bc5
hex25ca65da2

10144341410 has 64 divisors (see below), whose sum is σ = 21330432000. Its totient is φ = 3401652672.

The previous prime is 10144341331. The next prime is 10144341463. The reversal of 10144341410 is 1414344101.

10144341410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 815699 + ... + 828041.

It is an arithmetic number, because the mean of its divisors is an integer number (333288000).

Almost surely, 210144341410 is an apocalyptic number.

10144341410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10144341410 is an abundant number, since it is smaller than the sum of its proper divisors (11186090590).

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

10144341410 is a wasteful number, since it uses less digits than its factorization.

10144341410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12615.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10144341410 its reverse (1414344101), we get a palindrome (11558685511).

The spelling of 10144341410 in words is "ten billion, one hundred forty-four million, three hundred forty-one thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 59 70 118 199 295 398 413 590 826 995 1393 1990 2065 2786 4130 6965 11741 12343 13930 23482 24686 58705 61715 82187 86401 117410 123430 164374 172802 410935 432005 728237 821870 864010 1456474 2456257 3641185 4912514 5097659 7282370 10195318 12281285 17193799 24562570 25488295 34387598 50976590 85968995 144919163 171937990 289838326 724595815 1014434141 1449191630 2028868282 5072170705 10144341410