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4024144014 = 2311416124379
BaseRepresentation
bin1110111111011011…
…1001000010001110
3101101110010200210220
43233312321002032
531220140102024
61503151212210
7201502442202
oct35766710216
911343120726
104024144014
111785584a60
12943817066
134c1926107
142a263ab02
15188443e79
hexefdb908e

4024144014 has 64 divisors (see below), whose sum is σ = 9141914880. Its totient is φ = 1170144000.

The previous prime is 4024143997. The next prime is 4024144031. The reversal of 4024144014 is 4104414204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4024143997) and next prime (4024144031).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 152877 + ... + 177255.

It is an arithmetic number, because the mean of its divisors is an integer number (142842420).

Almost surely, 24024144014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024144014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570957440).

4024144014 is an abundant number, since it is smaller than the sum of its proper divisors (5117770866).

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

4024144014 is a wasteful number, since it uses less digits than its factorization.

4024144014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24497.

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4024144014 is about 63436.1412287980. The cubic root of 4024144014 is about 1590.5885001636.

Adding to 4024144014 its reverse (4104414204), we get a palindrome (8128558218).

It can be divided in two parts, 40241 and 44014, that added together give a triangular number (84255 = T410).

The spelling of 4024144014 in words is "four billion, twenty-four million, one hundred forty-four thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 41 61 66 82 122 123 183 246 366 451 671 902 1342 1353 2013 2501 2706 4026 5002 7503 15006 24379 27511 48758 55022 73137 82533 146274 165066 268169 536338 804507 999539 1487119 1609014 1999078 2974238 2998617 4461357 5997234 8922714 10994929 16358309 21989858 32716618 32984787 49074927 60971879 65969574 98149854 121943758 182915637 365831274 670690669 1341381338 2012072007 4024144014