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2431412007 = 319591315519
BaseRepresentation
bin1001000011101100…
…0110011100100111
320021110010112020120
42100323012130213
514434420141012
61041133333023
7114152442513
oct22073063447
96243115216
102431412007
111038517912
1257a337173
132c996653b
14190cb9143
15e36cd58c
hex90ec6727

2431412007 has 32 divisors (see below), whose sum is σ = 3497472000. Its totient is φ = 1497805920.

The previous prime is 2431411999. The next prime is 2431412059. The reversal of 2431412007 is 7002141342.

It is a happy number.

2431412007 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2431412007 - 23 = 2431411999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431412107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437794 + ... + 443312.

It is an arithmetic number, because the mean of its divisors is an integer number (109296000).

Almost surely, 22431412007 is an apocalyptic number.

2431412007 is a deficient number, since it is larger than the sum of its proper divisors (1066059993).

2431412007 is a wasteful number, since it uses less digits than its factorization.

2431412007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5731.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2431412007 is about 49309.3500971165. The cubic root of 2431412007 is about 1344.6817758040.

Adding to 2431412007 its reverse (7002141342), we get a palindrome (9433553349).

The spelling of 2431412007 in words is "two billion, four hundred thirty-one million, four hundred twelve thousand, seven".

Divisors: 1 3 19 57 59 131 177 393 1121 2489 3363 5519 7467 7729 16557 23187 104861 146851 314583 325621 440553 722989 976863 2168967 6186799 13736791 18560397 41210373 42656351 127969053 810470669 2431412007