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4006030014 = 2337232915889
BaseRepresentation
bin1110111011000111…
…0010101010111110
3101100012001102002000
43232301302222332
531201020430024
61501303043130
7201162456540
oct35661625276
911305042060
104006030014
111776332708
129397404a6
134bac5327c
142a0083690
15186a66cc9
hexeec72abe

4006030014 has 128 divisors (see below), whose sum is σ = 10983168000. Its totient is φ = 1056996864.

The previous prime is 4006030001. The next prime is 4006030033. The reversal of 4006030014 is 4100306004.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244182 + ... + 260070.

It is an arithmetic number, because the mean of its divisors is an integer number (85806000).

Almost surely, 24006030014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4006030014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491584000).

4006030014 is an abundant number, since it is smaller than the sum of its proper divisors (6977137986).

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

4006030014 is a wasteful number, since it uses less digits than its factorization.

4006030014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15959 (or 15953 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4006030014 is about 63293.2066970856. The cubic root of 4006030014 is about 1588.1983223536.

Adding to 4006030014 its reverse (4100306004), we get a palindrome (8106336018).

The spelling of 4006030014 in words is "four billion, six million, thirty thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 29 42 46 54 58 63 69 87 126 138 161 174 189 203 207 261 322 378 406 414 483 522 609 621 667 783 966 1218 1242 1334 1449 1566 1827 2001 2898 3654 4002 4347 4669 5481 6003 8694 9338 10962 12006 14007 15889 18009 28014 31778 36018 42021 47667 84042 95334 111223 126063 143001 222446 252126 286002 333669 365447 429003 460781 667338 730894 858006 921562 1001007 1096341 1382343 2002014 2192682 2558129 2764686 3003021 3225467 3289023 4147029 5116258 6006042 6450934 6578046 7674387 8294058 9676401 9867069 10597963 12441087 15348774 19352802 19734138 21195926 23023161 24882174 29029203 31793889 46046322 58058406 63587778 69069483 74185741 87087609 95381667 138138966 148371482 174175218 190763334 222557223 286145001 445114446 572290002 667671669 1335343338 2003015007 4006030014