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4002145004 = 22111323330029
BaseRepresentation
bin1110111010001011…
…1110001011101100
3101022220202000211202
43232202332023230
531144022120004
61501043505032
7201114446144
oct35642761354
911286660752
104002145004
111774119860
12938388178
134ba1c2b50
1429d751924
1518654ab1e
hexee8be2ec

4002145004 has 48 divisors (see below), whose sum is σ = 8263775520. Its totient is φ = 1671959040.

The previous prime is 4002145001. The next prime is 4002145027. The reversal of 4002145004 is 4005412004.

It is not an unprimeable number, because it can be changed into a prime (4002145001) 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 15 ways as a sum of consecutive naturals, for example, 118262 + ... + 148290.

It is an arithmetic number, because the mean of its divisors is an integer number (172161990).

Almost surely, 24002145004 is an apocalyptic number.

4002145004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4002145004 is an abundant number, since it is smaller than the sum of its proper divisors (4261630516).

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

4002145004 is a wasteful number, since it uses less digits than its factorization.

4002145004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30290 (or 30288 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4002145004 is about 63262.5086761504. The cubic root of 4002145004 is about 1587.6847497303.

Adding to 4002145004 its reverse (4005412004), we get a palindrome (8007557008).

The spelling of 4002145004 in words is "four billion, two million, one hundred forty-five thousand, four".

Divisors: 1 2 4 11 13 22 26 44 52 143 233 286 466 572 932 2563 3029 5126 6058 10252 12116 30029 33319 60058 66638 120116 133276 330319 390377 660638 780754 1321276 1561508 4294147 6996757 8588294 13993514 17176588 27987028 76964327 90957841 153928654 181915682 307857308 363831364 1000536251 2001072502 4002145004