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4003140024 = 2332134790997
BaseRepresentation
bin1110111010011011…
…0001000110111000
3101022222121120202100
43232212301012320
531144300440044
61501121103400
7201126062112
oct35646610670
911288546670
104003140024
111774739394
12938787b60
134ba480a10
1429d9303b2
15186695869
hexee9b11b8

4003140024 has 96 divisors (see below), whose sum is σ = 11924377920. Its totient is φ = 1205515008.

The previous prime is 4003140023. The next prime is 4003140079. The reversal of 4003140024 is 4200413004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4003139979 and 4003140006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003140023) by changing a digit.

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, 1507 + ... + 89490.

It is an arithmetic number, because the mean of its divisors is an integer number (124212270).

Almost surely, 24003140024 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 4003140024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962188960).

4003140024 is an abundant number, since it is smaller than the sum of its proper divisors (7921237896).

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

4003140024 is a wasteful number, since it uses less digits than its factorization.

4003140024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91069 (or 91062 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4003140024 is about 63270.3724028870. The cubic root of 4003140024 is about 1587.8163164422.

Adding to 4003140024 its reverse (4200413004), we get a palindrome (8203553028).

The spelling of 4003140024 in words is "four billion, three million, one hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 47 52 72 78 94 104 117 141 156 188 234 282 312 376 423 468 564 611 846 936 1128 1222 1692 1833 2444 3384 3666 4888 5499 7332 10998 14664 21996 43992 90997 181994 272991 363988 545982 727976 818973 1091964 1182961 1637946 2183928 2365922 3275892 3548883 4276859 4731844 6551784 7097766 8553718 9463688 10646649 12830577 14195532 17107436 21293298 25661154 28391064 34214872 38491731 42586596 51322308 55599167 76983462 85173192 102644616 111198334 153966924 166797501 222396668 307933848 333595002 444793336 500392503 667190004 1000785006 1334380008 2001570012 4003140024