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10144127350 = 2527251115471
BaseRepresentation
bin10010111001010001…
…10001100101110110
3222011221222001200101
421130220301211312
5131233344033400
64354331504314
7506244442210
oct113450614566
928157861611
1010144127350
114336106025
121b712b809a
13c58811326
146c335d5b0
153e587c56a
hex25ca31976

10144127350 has 48 divisors (see below), whose sum is σ = 21649614336. Its totient is φ = 3464100000.

The previous prime is 10144127339. The next prime is 10144127393. The reversal of 10144127350 is 5372144101.

10144127350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 30115 + ... + 145585.

It is an arithmetic number, because the mean of its divisors is an integer number (451033632).

Almost surely, 210144127350 is an apocalyptic number.

10144127350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10144127350 is an abundant number, since it is smaller than the sum of its proper divisors (11505486986).

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

10144127350 is a wasteful number, since it uses less digits than its factorization.

10144127350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115741 (or 115736 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 10144127350 in words is "ten billion, one hundred forty-four million, one hundred twenty-seven thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 251 350 502 1255 1757 2510 3514 6275 8785 12550 17570 43925 87850 115471 230942 577355 808297 1154710 1616594 2886775 4041485 5773550 8082970 20207425 28983221 40414850 57966442 144916105 202882547 289832210 405765094 724580525 1014412735 1449161050 2028825470 5072063675 10144127350