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4416254909145 = 3557039516377
BaseRepresentation
bin100000001000011110101…
…0011100001101011011001
3120122012010101202000100000
41000100331103201223121
51034323442224043040
613220444405203213
7634030625233602
oct100207523415331
916565111660300
104416254909145
111452a17845882
125b3a96a00509
132605b2c60cc1
14113a6826ada9
1579d2494d130
hex4043d4e1ad9

4416254909145 has 48 divisors (see below), whose sum is σ = 7939497646080. Its totient is φ = 2354996778624.

The previous prime is 4416254909113. The next prime is 4416254909147. The reversal of 4416254909145 is 5419094526144.

4416254909145 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 2 + 5 + 490 + 9 + 145 = 666.

It is not a de Polignac number, because 4416254909145 - 25 = 4416254909113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4416254909091 and 4416254909100.

It is not an unprimeable number, because it can be changed into a prime (4416254909147) 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 47 ways as a sum of consecutive naturals, for example, 8294197 + ... + 8810573.

It is an arithmetic number, because the mean of its divisors is an integer number (165406200960).

Almost surely, 24416254909145 is an apocalyptic number.

4416254909145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4416254909145 is a deficient number, since it is larger than the sum of its proper divisors (3523242736935).

4416254909145 is an equidigital number, since it uses as much as digits as its factorization.

4416254909145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523436 (or 523424 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 4416254909145 in words is "four trillion, four hundred sixteen billion, two hundred fifty-four million, nine hundred nine thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 1215 7039 21117 35195 63351 105585 190053 316755 516377 570159 950265 1549131 1710477 2581885 2850795 4647393 7745655 8552385 13942179 23236965 41826537 69710895 125479611 209132685 627398055 3634777703 10904333109 18173888515 32712999327 54521665545 98138997981 163564996635 294416993943 490694989905 883250981829 1472084969715 4416254909145