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1444306526145 = 325719241321057
BaseRepresentation
bin10101000001000111011…
…000001001111111000001
312010002000012112112020200
4111001013120021333001
5142130414432314040
63023301045155413
7206230155624450
oct25010730117701
95102005475220
101444306526145
1150758842114a
121b3abb3bbb69
13a6274c52252
144dc94b1cb97
1527882c69630
hex15047609fc1

1444306526145 has 48 divisors (see below), whose sum is σ = 3011686803840. Its totient is φ = 625504177152.

The previous prime is 1444306526093. The next prime is 1444306526161. The reversal of 1444306526145 is 5416256034441.

1444306526145 is a `hidden beast` number, since 1 + 4 + 44 + 306 + 5 + 261 + 45 = 666.

It is not a de Polignac number, because 1444306526145 - 222 = 1444302331841 is a prime.

It is a super-2 number, since 2×14443065261452 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1444306526145.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120654544 + ... + 120666513.

It is an arithmetic number, because the mean of its divisors is an integer number (62743475080).

Almost surely, 21444306526145 is an apocalyptic number.

1444306526145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1444306526145 is an abundant number, since it is smaller than the sum of its proper divisors (1567380277695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1444306526145 is a wasteful number, since it uses less digits than its factorization.

1444306526145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241321094 (or 241321091 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 1444306526145 in words is "one trillion, four hundred forty-four billion, three hundred six million, five hundred twenty-six thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 241321057 723963171 1206605285 1689247399 2171889513 3619815855 4585100083 5067742197 8446236995 10859447565 13755300249 15203226591 22925500415 25338710985 32095700581 41265900747 68776501245 76016132955 96287101743 160478502905 206329503735 288861305229 481435508715 1444306526145