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334144314405 = 32511787857737
BaseRepresentation
bin1001101110011001000…
…11011001110000100101
31011221111002110220201100
410313030203121300211
520433311421030110
6413300452150313
733066256544436
oct4671443316045
91157432426640
10334144314405
11119789833060
1254914308399
13256819a3445
141225bb4948d
158a5a067bc0
hex4dcc8d9c25

334144314405 has 48 divisors (see below), whose sum is σ = 632640101184. Its totient is φ = 161803319040.

The previous prime is 334144314389. The next prime is 334144314457. The reversal of 334144314405 is 504413441433.

334144314405 is a `hidden beast` number, since 33 + 41 + 443 + 144 + 0 + 5 = 666.

It is not a de Polignac number, because 334144314405 - 24 = 334144314389 is a prime.

It is a super-2 number, since 2×3341443144052 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334144314405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39304 + ... + 818433.

It is an arithmetic number, because the mean of its divisors is an integer number (13180002108).

Almost surely, 2334144314405 is an apocalyptic number.

It is an amenable number.

334144314405 is a deficient number, since it is larger than the sum of its proper divisors (298495786779).

334144314405 is a wasteful number, since it uses less digits than its factorization.

334144314405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858546 (or 858543 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 334144314405 its reverse (504413441433), we get a palindrome (838557755838).

The spelling of 334144314405 in words is "three hundred thirty-four billion, one hundred forty-four million, three hundred fourteen thousand, four hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 787 2361 3935 7083 8657 11805 25971 35415 43285 77913 129855 389565 857737 2573211 4288685 7719633 9435107 12866055 28305321 38598165 47175535 84915963 141526605 424579815 675039019 2025117057 3375195095 6075351171 7425429209 10125585285 22276287627 30376755855 37127146045 66828862881 111381438135 334144314405