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9404142048 = 2532711341281
BaseRepresentation
bin10001100001000011…
…11101000111100000
3220021101112220200100
420300201331013200
5123224430021143
64153055222400
7452020613520
oct106041750740
926241486610
109404142048
113a96436124
1219a5517a00
13b6b411cc2
14652d77680
153a090c6d3
hex23087d1e0

9404142048 has 144 divisors (see below), whose sum is σ = 30834681696. Its totient is φ = 2663055360.

The previous prime is 9404142031. The next prime is 9404142061. The reversal of 9404142048 is 8402414049.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207168 + ... + 248448.

It is an arithmetic number, because the mean of its divisors is an integer number (214129734).

Almost surely, 29404142048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9404142048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15417340848).

9404142048 is an abundant number, since it is smaller than the sum of its proper divisors (21430539648).

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

9404142048 is a wasteful number, since it uses less digits than its factorization.

9404142048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41417 (or 41406 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 9404142048 is about 96974.9557772521. The cubic root of 9404142048 is about 2110.7642348918.

The spelling of 9404142048 in words is "nine billion, four hundred four million, one hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 113 126 144 168 224 226 252 288 336 339 452 504 672 678 791 904 1008 1017 1356 1582 1808 2016 2034 2373 2712 3164 3616 4068 4746 5424 6328 7119 8136 9492 10848 12656 14238 16272 18984 25312 28476 32544 37968 41281 56952 75936 82562 113904 123843 165124 227808 247686 288967 330248 371529 495372 577934 660496 743058 866901 990744 1155868 1320992 1486116 1733802 1981488 2311736 2600703 2972232 3467604 3962976 4623472 4664753 5201406 5944464 6935208 9246944 9329506 10402812 11888928 13870416 13994259 18659012 20805624 27740832 27988518 32653271 37318024 41611248 41982777 55977036 65306542 74636048 83222496 83965554 97959813 111954072 130613084 149272096 167931108 195919626 223908144 261226168 293879439 335862216 391839252 447816288 522452336 587758878 671724432 783678504 1044904672 1175517756 1343448864 1567357008 2351035512 3134714016 4702071024 9404142048