Search a number
-
+
445444311520425 = 352717123140544051
BaseRepresentation
bin110010101001000010001010…
…1111101001001010010101001
32011102012001121221211002111110
41211102010111331021102221
5431341124422222123200
64215214143001420533
7162553201202250450
oct14522042575112251
92142161557732443
10445444311520425
11119a28965164788
1241b6211279a749
13161722ab8c1479
147bdd8966c1b97
153677067209b50
hex1952115f494a9

445444311520425 has 96 divisors (see below), whose sum is σ = 891912057974784. Its totient is φ = 191497656960000.

The previous prime is 445444311520409. The next prime is 445444311520477. The reversal of 445444311520425 is 524025113444544.

It is a happy number.

It is not a de Polignac number, because 445444311520425 - 24 = 445444311520409 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9285351 + ... + 31258700.

It is an arithmetic number, because the mean of its divisors is an integer number (9290750603904).

Almost surely, 2445444311520425 is an apocalyptic number.

It is an amenable number.

445444311520425 is an abundant number, since it is smaller than the sum of its proper divisors (446467746454359).

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

445444311520425 is a wasteful number, since it uses less digits than its factorization.

445444311520425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40545319 (or 40545314 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 48.

Adding to 445444311520425 its reverse (524025113444544), we get a palindrome (969469424964969).

The spelling of 445444311520425 in words is "four hundred forty-five trillion, four hundred forty-four billion, three hundred eleven million, five hundred twenty thousand, four hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 357 425 525 595 1231 1275 1785 2975 3693 6155 8617 8925 18465 20927 25851 30775 43085 62781 92325 104635 129255 146489 215425 313905 439467 523175 646275 732445 1569525 2197335 3662225 10986675 40544051 121632153 202720255 283808357 608160765 689248867 851425071 1013601275 1419041785 2067746601 3040803825 3446244335 4257125355 4824742069 7095208925 10338733005 14474226207 17231221675 21285626775 24123710345 49909726781 51693665025 72371131035 120618551725 149729180343 249548633905 349368087467 361855655175 748645901715 848465355277 1048104262401 1247743169525 1746840437335 2545396065831 3743229508575 4242326776385 5240521312005 5939257486939 8734202186675 12726980329155 17817772460817 21211633881925 26202606560025 29696287434695 63634901645775 89088862304085 148481437173475 445444311520425