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4029230016 = 263272142759
BaseRepresentation
bin1111000000101001…
…0010101111000000
3101101210201002111100
43300022102233000
531222440330031
61503452214400
7201563614200
oct36012225700
911353632440
104029230016
111788439169
1294546a400
134c29b7096
142a31a2400
15188aeade6
hexf0292bc0

4029230016 has 126 divisors (see below), whose sum is σ = 13434715320. Its totient is φ = 1151200512.

The previous prime is 4029229979. The next prime is 4029230059. The reversal of 4029230016 is 6100329204.

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 43156 + ... + 99603.

Almost surely, 24029230016 is an apocalyptic number.

It is an amenable number.

4029230016 is an abundant number, since it is smaller than the sum of its proper divisors (9405485304).

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

4029230016 is a wasteful number, since it uses less digits than its factorization.

4029230016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142791 (or 142771 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4029230016 is about 63476.2161443166. The cubic root of 4029230016 is about 1591.2583180201.

The spelling of 4029230016 in words is "four billion, twenty-nine million, two hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 142759 285518 428277 571036 856554 999313 1142072 1284831 1713108 1998626 2284144 2569662 2997939 3426216 3997252 4568288 5139324 5995878 6852432 6995191 7994504 8993817 9136576 10278648 11991756 13704864 13990382 15989008 17987634 20557296 20985573 23983512 27409728 27980764 31978016 35975268 41114592 41971146 47967024 55961528 62956719 63956032 71950536 82229184 83942292 95934048 111923056 125913438 143901072 167884584 191868096 223846112 251826876 287802144 335769168 447692224 503653752 575604288 671538336 1007307504 1343076672 2014615008 4029230016