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442440201043401 = 311291094942224857
BaseRepresentation
bin110010010011001011010001…
…1000001000111110111001001
32011000112212111022221221121120
41210212112203001013313021
5430442420012431342101
64204554120012225453
7162123151430440341
oct14446264301076711
92130485438857546
10442440201043401
11118a7a921107860
1241757a6016b289
1315cb4c165cb652
147b38311917d21
153623d41bbbb36
hex19265a3047dc9

442440201043401 has 32 divisors (see below), whose sum is σ = 665801560944000. Its totient is φ = 258875525153280.

The previous prime is 442440201043339. The next prime is 442440201043403. The reversal of 442440201043401 is 104340102044244.

It is not a de Polignac number, because 442440201043401 - 226 = 442440133934537 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (442440201043403) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10634236 + ... + 31590621.

It is an arithmetic number, because the mean of its divisors is an integer number (20806298779500).

Almost surely, 2442440201043401 is an apocalyptic number.

It is an amenable number.

442440201043401 is a deficient number, since it is larger than the sum of its proper divisors (223361359900599).

442440201043401 is a wasteful number, since it uses less digits than its factorization.

442440201043401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42235849.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 442440201043401 its reverse (104340102044244), we get a palindrome (546780303087645).

The spelling of 442440201043401 in words is "four hundred forty-two trillion, four hundred forty billion, two hundred one million, forty-three thousand, four hundred one".

Divisors: 1 3 11 29 33 87 319 957 10949 32847 120439 317521 361317 952563 3492731 10478193 42224857 126674571 464473427 1224520853 1393420281 3673562559 13469729383 40409188149 462319959293 1386959877879 5085519552223 13407278819497 15256558656669 40221836458491 147480067014467 442440201043401