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107143441400449 = 1759300293557327
BaseRepresentation
bin11000010111001001000110…
…110000111100001010000001
3112001100210221122120122100001
4120113021012300330022001
5103020414231444303244
61015513003435200001
731365600234166306
oct3027110660741201
9461323848518301
10107143441400449
11311593074a0763
12100251498a6001
1347a27772c348c
141c65aad73d0ad
15c5c0a7dc45d4
hex617246c3c281

107143441400449 has 16 divisors (see below), whose sum is σ = 115372684627200. Its totient is φ = 99128389398784.

The previous prime is 107143441400447. The next prime is 107143441400461. The reversal of 107143441400449 is 944004144341701.

It is a cyclic number.

It is not a de Polignac number, because 107143441400449 - 21 = 107143441400447 is a prime.

It is a super-2 number, since 2×1071434414004492 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107143441400399 and 107143441400408.

It is not an unprimeable number, because it can be changed into a prime (107143441400447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28340424 + ... + 31897750.

It is an arithmetic number, because the mean of its divisors is an integer number (7210792789200).

Almost surely, 2107143441400449 is an apocalyptic number.

It is an amenable number.

107143441400449 is a deficient number, since it is larger than the sum of its proper divisors (8229243226751).

107143441400449 is a wasteful number, since it uses less digits than its factorization.

107143441400449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587432.

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 107143441400449 in words is "one hundred seven trillion, one hundred forty-three billion, four hundred forty-one million, four hundred thousand, four hundred forty-nine".

Divisors: 1 17 59 1003 30029 510493 1771711 3557327 30119087 60474559 209882293 3567998981 106822972483 1815990532211 6302555376497 107143441400449