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442100044011525 = 35267433449452533
BaseRepresentation
bin110010010000101100111000…
…0000101000001100000000101
32010222100100111012111100010120
41210201121300011001200011
5430421331342231332100
64204133542330412153
7162056450140406214
oct14441316005014005
92128310435440116
10442100044011525
11118959637358109
1241701b4a291059
1315c8bb17028a23
147b25a8340d07b
15361a083d580a0
hex1921670141805

442100044011525 has 96 divisors (see below), whose sum is σ = 745219234166400. Its totient is φ = 231214455521280.

The previous prime is 442100044011349. The next prime is 442100044011541. The reversal of 442100044011525 is 525110440001244.

It is not a de Polignac number, because 442100044011525 - 221 = 442100041914373 is a prime.

It is a congruent number.

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, 976719159 + ... + 977171691.

It is an arithmetic number, because the mean of its divisors is an integer number (7762700355900).

Almost surely, 2442100044011525 is an apocalyptic number.

It is an amenable number.

442100044011525 is a deficient number, since it is larger than the sum of its proper divisors (303119190154875).

442100044011525 is a wasteful number, since it uses less digits than its factorization.

442100044011525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453495 (or 453490 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 442100044011525 its reverse (525110440001244), we get a palindrome (967210484012769).

The spelling of 442100044011525 in words is "four hundred forty-two trillion, one hundred billion, forty-four million, eleven thousand, five hundred twenty-five".

Divisors: 1 3 5 15 25 67 75 201 335 433 449 1005 1299 1347 1675 2165 2245 5025 6495 6735 10825 11225 29011 30083 32475 33675 87033 90249 145055 150415 194417 435165 451245 452533 583251 725275 752075 972085 1357599 2175825 2256225 2262665 2916255 4860425 6787995 11313325 13025939 14581275 30319711 33939975 39077817 65129695 90959133 151598555 195389085 195946789 203187317 325648475 454795665 587840367 609561951 757992775 976945425 979733945 1015936585 2273978325 2939201835 3047809755 4898669725 5079682925 13128434863 13613550239 14696009175 15239048775 39385304589 40840650717 65642174315 68067751195 87980108261 196926522945 204203253585 263940324783 328210871575 340338755975 439900541305 984632614725 1021016267925 1319701623915 2199502706525 5894667253487 6598508119575 17684001760461 29473336267435 88420008802305 147366681337175 442100044011525