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344031014241234 = 23414101691505953
BaseRepresentation
bin100111000111001001111011…
…0011001010100001111010010
31200010010001011220022222220000
41032032103312121110033102
5330043101004121204414
63215405355513230430
7132315264150332265
oct11616236631241722
91603101156288800
10344031014241234
119a68980873a691
1232703622702416
13119c6ca7015428
1460d5293272cdc
1529b9082205b09
hex138e4f66543d2

344031014241234 has 40 divisors (see below), whose sum is σ = 770885368241340. Its totient is φ = 114676847276544.

The previous prime is 344031014241203. The next prime is 344031014241293. The reversal of 344031014241234 is 432142410130443.

344031014241234 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 3 + 101 + 424 + 123 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 333018883928025 + 11012130313209 = 18248805^2 + 3318453^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227694402 + ... + 229200354.

Almost surely, 2344031014241234 is an apocalyptic number.

344031014241234 is an abundant number, since it is smaller than the sum of its proper divisors (426854354000106).

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

344031014241234 is a wasteful number, since it uses less digits than its factorization.

344031014241234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916136 (or 2916127 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 344031014241234 its reverse (432142410130443), we get a palindrome (776173424371677).

The spelling of 344031014241234 in words is "three hundred forty-four trillion, thirty-one billion, fourteen million, two hundred forty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 1410169 1505953 2820338 3011906 4230507 4517859 8461014 9035718 12691521 13553577 25383042 27107154 38074563 40660731 76149126 81321462 114223689 121982193 228447378 243964386 2123648236057 4247296472114 6370944708171 12741889416342 19112834124513 38225668249026 57338502373539 114677004747078 172015507120617 344031014241234