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1444443001425 = 325224173336341
BaseRepresentation
bin10101000001001111100…
…000110001001001010001
312010002100201100012010200
4111001033200301021101
5142131204402021200
63023322402245413
7206233433634534
oct25011740611121
95102321305120
101444443001425
11507648466036
121b3b39056869
13a62972c7158
144dca8cc6a1b
152788ec26800
hex1504f831251

1444443001425 has 72 divisors (see below), whose sum is σ = 2601508780728. Its totient is φ = 766105344000.

The previous prime is 1444443001367. The next prime is 1444443001427. The reversal of 1444443001425 is 5241003444441.

1444443001425 is a `hidden beast` number, since 1 + 44 + 44 + 430 + 0 + 142 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6141700161 + 1438301301264 = 78369^2 + 1199292^2 .

It is not a de Polignac number, because 1444443001425 - 225 = 1444409446993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1444443001425.

It is not an unprimeable number, because it can be changed into a prime (1444443001427) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39728755 + ... + 39765095.

It is an arithmetic number, because the mean of its divisors is an integer number (36132066399).

Almost surely, 21444443001425 is an apocalyptic number.

1444443001425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1444443001425 is a deficient number, since it is larger than the sum of its proper divisors (1157065779303).

1444443001425 is a wasteful number, since it uses less digits than its factorization.

1444443001425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37331 (or 37323 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 1444443001425 its reverse (5241003444441), we get a palindrome (6685446445866).

The spelling of 1444443001425 in words is "one trillion, four hundred forty-four billion, four hundred forty-three million, one thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 241 723 733 1205 2169 2199 3615 3665 6025 6597 10845 10995 18075 18325 32985 36341 54225 54975 109023 164925 176653 181705 327069 529959 545115 883265 908525 1589877 1635345 2649795 2725575 4416325 7949385 8176725 8758181 13248975 26274543 26637953 39746925 43790905 78823629 79913859 131372715 133189765 218954525 239741577 394118145 399569295 656863575 665948825 1198707885 1970590725 1997846475 5993539425 6419746673 19259240019 32098733365 57777720057 96296200095 160493666825 288888600285 481481000475 1444443001425