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4029710399 = 11131929199257
BaseRepresentation
bin1111000000110000…
…1000000000111111
3101101211121111110022
43300030020000333
531223101213044
61503510402355
7201600654551
oct36014100077
911354544408
104029710399
111788737080
129456603bb
134c2b24930
142a32894d1
15188b933ee
hexf030803f

4029710399 has 64 divisors (see below), whose sum is σ = 5201280000. Its totient is φ = 3065610240.

The previous prime is 4029710383. The next prime is 4029710467. The reversal of 4029710399 is 9930179204.

It is a Cunningham number, because it is equal to 634802-1.

It is not a de Polignac number, because 4029710399 - 24 = 4029710383 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4029710309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15679679 + ... + 15679935.

It is an arithmetic number, because the mean of its divisors is an integer number (81270000).

Almost surely, 24029710399 is an apocalyptic number.

4029710399 is a deficient number, since it is larger than the sum of its proper divisors (1171569601).

4029710399 is a wasteful number, since it uses less digits than its factorization.

4029710399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528.

The product of its (nonzero) digits is 122472, while the sum is 44.

The square root of 4029710399 is about 63479.9999921235. Note that the first 5 decimals coincide. The cubic root of 4029710399 is about 1591.3215545082.

The spelling of 4029710399 in words is "four billion, twenty-nine million, seven hundred ten thousand, three hundred ninety-nine".

Divisors: 1 11 13 19 29 143 199 209 247 257 319 377 551 2189 2587 2717 2827 3341 3781 4147 4883 5771 6061 7163 7453 28457 36751 41591 49153 51143 53713 63479 63481 75023 78793 81983 96889 109649 141607 540683 562573 664859 698269 825253 971717 1065779 1206139 1425437 1483147 1557677 1840891 7313449 10688887 12632321 15679807 16314617 19280911 20249801 28179793 138955531 212090021 309977723 366337309 4029710399