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442205440215 = 357112213116333
BaseRepresentation
bin1100110111101010111…
…11111000100011010111
31120021102001112212201020
412123311133320203113
524221114043041330
6535051341132223
743643156136450
oct6336537704327
91507361485636
10442205440215
111605a1496300
127185185a073
13329135a84c6
141758d626127
15b781d24210
hex66f57f88d7

442205440215 has 96 divisors (see below), whose sum is σ = 889267911168. Its totient is φ = 183676204800.

The previous prime is 442205440211. The next prime is 442205440273. The reversal of 442205440215 is 512044502244.

It is not a de Polignac number, because 442205440215 - 22 = 442205440211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442205440211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27066189 + ... + 27082521.

It is an arithmetic number, because the mean of its divisors is an integer number (9263207408).

Almost surely, 2442205440215 is an apocalyptic number.

442205440215 is an abundant number, since it is smaller than the sum of its proper divisors (447062470953).

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

442205440215 is a wasteful number, since it uses less digits than its factorization.

442205440215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18501 (or 18490 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

Adding to 442205440215 its reverse (512044502244), we get a palindrome (954249942459).

The spelling of 442205440215 in words is "four hundred forty-two billion, two hundred five million, four hundred forty thousand, two hundred fifteen".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 605 847 1155 1815 2131 2541 4235 6393 10655 12705 14917 16333 23441 31965 44751 48999 70323 74585 81665 114331 117205 164087 179663 223755 244995 257851 342993 351615 492261 538989 571655 773553 820435 898315 1257641 1289255 1714965 1804957 1976293 2461305 2694945 3772923 3867765 5414871 5928879 6288205 9024785 9881465 13834051 18864615 27074355 29644395 34805623 41502153 69170255 104416869 174028115 207510765 243639361 382861853 522084345 730918083 1148585559 1218196805 1914309265 2680032971 3654590415 4211480383 5742927795 8040098913 12634441149 13400164855 21057401915 29480362681 40200494565 63172205745 88441088043 147401813405 442205440215