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4244314420401 = 311229403183663
BaseRepresentation
bin111101110000110100110…
…110100111010010110001
3120000202022120101012002020
4331300310312213102301
51024014323442423101
613005451111542053
7615433032214056
oct75606466472261
916022276335066
104244314420401
111397004928800
125866b038a929
1324a310c98233
141095d69cb02d
157560ea98136
hex3dc34da74b1

4244314420401 has 24 divisors (see below), whose sum is σ = 6434811277440. Its totient is φ = 2483611357920.

The previous prime is 4244314420349. The next prime is 4244314420417. The reversal of 4244314420401 is 1040244134424.

It is not a de Polignac number, because 4244314420401 - 26 = 4244314420337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4244314420441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201581305 + ... + 201602358.

It is an arithmetic number, because the mean of its divisors is an integer number (268117136560).

Almost surely, 24244314420401 is an apocalyptic number.

It is an amenable number.

4244314420401 is a deficient number, since it is larger than the sum of its proper divisors (2190496857039).

4244314420401 is a wasteful number, since it uses less digits than its factorization.

4244314420401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403183717 (or 403183706 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4244314420401 its reverse (1040244134424), we get a palindrome (5284558554825).

The spelling of 4244314420401 in words is "four trillion, two hundred forty-four billion, three hundred fourteen million, four hundred twenty thousand, four hundred one".

Divisors: 1 3 11 29 33 87 121 319 363 957 3509 10527 403183663 1209550989 4435020293 11692326227 13305060879 35076978681 48785223223 128615588497 146355669669 385846765491 1414771473467 4244314420401