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10140641335 = 5111973307433
BaseRepresentation
bin10010111000110110…
…11110100000110111
3222011201101221202201
421130123132200313
5131232001010320
64354125045331
7506203012666
oct113433364067
928151357681
1010140641335
114334144a20
121b700b6847
13c57b906b6
146c2ad2ddd
153e53de70a
hex25c6de837

10140641335 has 64 divisors (see below), whose sum is σ = 14244088320. Its totient is φ = 6852833280.

The previous prime is 10140641317. The next prime is 10140641339. The reversal of 10140641335 is 53314604101.

It is not a de Polignac number, because 10140641335 - 211 = 10140639287 is a prime.

It is a super-2 number, since 2×101406413352 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140641339) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 23419279 + ... + 23419711.

It is an arithmetic number, because the mean of its divisors is an integer number (222563880).

Almost surely, 210140641335 is an apocalyptic number.

10140641335 is a deficient number, since it is larger than the sum of its proper divisors (4103446985).

10140641335 is a wasteful number, since it uses less digits than its factorization.

10140641335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848.

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 10140641335 in words is "ten billion, one hundred forty million, six hundred forty-one thousand, three hundred thirty-five".

Divisors: 1 5 11 19 55 73 95 209 307 365 433 803 1045 1387 1535 2165 3377 4015 4763 5833 6935 8227 15257 16885 22411 23815 29165 31609 41135 64163 76285 90497 112055 132931 158045 246521 320815 347699 425809 452485 600571 664655 1232605 1462241 1738495 2129045 2525689 3002855 4683899 6606281 7311205 9703963 12628445 23419495 27782579 33031405 48519815 106743593 138912895 184375297 533717965 921876485 2028128267 10140641335