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34414131214 = 2411678213061
BaseRepresentation
bin100000000011001111…
…011111100000001110
310021211101021000001101
4200003033133200032
51030440004144324
623450514133314
72325546201031
oct400317374016
9107741230041
1034414131214
111365a975161
12680528123a
133325a35168
1419467a1018
15d66404944
hex8033df80e

34414131214 has 32 divisors (see below), whose sum is σ = 53279093952. Its totient is φ = 16661088000.

The previous prime is 34414131209. The next prime is 34414131229. The reversal of 34414131214 is 41213141443.

It is a super-2 number, since 2×344141312142 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11241244 + ... + 11244304.

It is an arithmetic number, because the mean of its divisors is an integer number (1664971686).

Almost surely, 234414131214 is an apocalyptic number.

34414131214 is a deficient number, since it is larger than the sum of its proper divisors (18864962738).

34414131214 is a wasteful number, since it uses less digits than its factorization.

34414131214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092.

The product of its digits is 4608, while the sum is 28.

Adding to 34414131214 its reverse (41213141443), we get a palindrome (75627272657).

The spelling of 34414131214 in words is "thirty-four billion, four hundred fourteen million, one hundred thirty-one thousand, two hundred fourteen".

Divisors: 1 2 41 82 167 334 821 1642 3061 6122 6847 13694 33661 67322 125501 137107 251002 274214 511187 1022374 2513081 5026162 5621387 11242774 20958667 41917334 103036321 206072642 419684527 839369054 17207065607 34414131214