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414314131124 = 22147769700949
BaseRepresentation
bin1100000011101110000…
…10111110111010110100
31110121102021010120110102
412001313002332322310
523242003404143444
6514155553413232
741635043002505
oct6016702767264
91417367116412
10414314131124
1114a789586a33
1268368b6a218
13300ba05500a
14160a528abac
15ab9d3cc84e
hex60770beeb4

414314131124 has 12 divisors (see below), whose sum is σ = 725055670500. Its totient is φ = 207155368128.

The previous prime is 414314131057. The next prime is 414314131181. The reversal of 414314131124 is 421131413414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 98638708624 + 315675422500 = 314068^2 + 561850^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 240602 + ... + 941550.

It is an arithmetic number, because the mean of its divisors is an integer number (60421305875).

Almost surely, 2414314131124 is an apocalyptic number.

It is an amenable number.

414314131124 is a deficient number, since it is larger than the sum of its proper divisors (310741539376).

414314131124 is a wasteful number, since it uses less digits than its factorization.

414314131124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848722 (or 848720 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

Adding to 414314131124 its reverse (421131413414), we get a palindrome (835445544538).

The spelling of 414314131124 in words is "four hundred fourteen billion, three hundred fourteen million, one hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 147769 295538 591076 700949 1401898 2803796 103578532781 207157065562 414314131124