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344454055223213 = 13267833061119737
BaseRepresentation
bin100111001010001110111010…
…1100110100101111110101101
31200011121111010100120112011202
41032110131311212211332231
5330122013401114120323
63220332001453455245
7132360661411341005
oct11624356546457655
91604544110515152
10344454055223213
119a832165302851
12327716061a1525
1311a27b55061400
14610b945551005
1529c5091806d28
hex13947759a5fad

344454055223213 has 48 divisors (see below), whose sum is σ = 383244979795776. Its totient is φ = 309334641707520.

The previous prime is 344454055223119. The next prime is 344454055223221. The reversal of 344454055223213 is 312322550454443.

It is not a de Polignac number, because 344454055223213 - 216 = 344454055157677 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344454055226213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2876695481 + ... + 2876815217.

It is an arithmetic number, because the mean of its divisors is an integer number (7984270412412).

Almost surely, 2344454055223213 is an apocalyptic number.

It is an amenable number.

344454055223213 is a deficient number, since it is larger than the sum of its proper divisors (38790924572563).

344454055223213 is a wasteful number, since it uses less digits than its factorization.

344454055223213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122974 (or 122961 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 47.

The spelling of 344454055223213 in words is "three hundred forty-four trillion, four hundred fifty-four billion, fifty-five million, two hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 13 67 83 169 871 1079 3061 5561 11323 14027 39793 72293 119737 205087 254063 517309 939809 1556581 2666131 3302819 8022379 9938171 17022221 20235553 34659703 42936647 104290927 129196223 221288873 366514957 665857457 1355782051 1679550899 2876755349 4764694441 8656146941 24556502119 30420741431 61941027733 112529910233 319234527547 395469638603 2038189675877 4150048858111 5141105301839 26496465786401 344454055223213