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442404522152025 = 35271736791127603
BaseRepresentation
bin110010010010111010101010…
…0011000111101000001011001
32011000102110101210211110210020
41210211311110120331001121
5430441323430132331100
64204525455353541053
7162120446323040016
oct14445652430750131
92130373353743706
10442404522152025
11118a66782324674
1241750b63414789
1315cb174b8494c4
147b366c91aa70d
153622e547385a0
hex1925d5463d059

442404522152025 has 48 divisors (see below), whose sum is σ = 741754870364160. Its totient is φ = 232622488436800.

The previous prime is 442404522151993. The next prime is 442404522152041. The reversal of 442404522152025 is 520251225404244.

It is not a de Polignac number, because 442404522152025 - 25 = 442404522151993 is a prime.

It is a super-2 number, since 2×4424045221520252 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 391776874 + ... + 392904476.

It is an arithmetic number, because the mean of its divisors is an integer number (15453226465920).

Almost surely, 2442404522152025 is an apocalyptic number.

It is an amenable number.

442404522152025 is a deficient number, since it is larger than the sum of its proper divisors (299350348212135).

442404522152025 is a wasteful number, since it uses less digits than its factorization.

442404522152025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201366 (or 1201361 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 42.

Adding to 442404522152025 its reverse (520251225404244), we get a palindrome (962655747556269).

The spelling of 442404522152025 in words is "four hundred forty-two trillion, four hundred four billion, five hundred twenty-two million, one hundred fifty-two thousand, twenty-five".

Divisors: 1 3 5 15 25 71 75 213 355 1065 1775 5325 73679 221037 368395 1105185 1127603 1841975 3382809 5231209 5525925 5638015 15693627 16914045 26156045 28190075 78468135 80059813 84570225 130780225 240179439 392340675 400299065 1200897195 2001495325 6004485975 83080661437 249241984311 415403307185 1246209921555 2077016535925 5898726962027 6231049607775 17696180886081 29493634810135 88480904430405 147468174050675 442404522152025