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442324060423244 = 227383137307433931
BaseRepresentation
bin110010010010010101001100…
…0011111110100010001001100
32011000010202201021220010222022
41210210222120133310101030
5430434014133432020434
64204424511303505312
7162111600363446246
oct14444523037642114
92130122637803868
10442324060423244
11118a3564282095a
1241739448a58238
1315ca6c97b6c2bc
147b32854d9d096
153620ce596122e
hex1924a987f444c

442324060423244 has 96 divisors (see below), whose sum is σ = 802528615316736. Its totient is φ = 213233951831040.

The previous prime is 442324060423211. The next prime is 442324060423261.

442324060423244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 442324060423195 and 442324060423204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1019124959 + ... + 1019558889.

It is an arithmetic number, because the mean of its divisors is an integer number (8359673076216).

Almost surely, 2442324060423244 is an apocalyptic number.

It is an amenable number.

442324060423244 is a deficient number, since it is larger than the sum of its proper divisors (360204554893492).

442324060423244 is a wasteful number, since it uses less digits than its factorization.

442324060423244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434535 (or 434533 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 44.

The spelling of 442324060423244 in words is "four hundred forty-two trillion, three hundred twenty-four billion, sixty million, four hundred twenty-three thousand, two hundred forty-four".

Divisors: 1 2 4 73 83 137 146 166 274 292 307 332 548 614 1228 6059 10001 11371 12118 20002 22411 22742 24236 25481 40004 42059 44822 45484 50962 84118 89644 101924 168236 433931 830083 867862 1660166 1735724 1860113 3070307 3320332 3490897 3720226 6140614 6981794 7440452 12281228 13963588 31676963 36016273 59448547 63353926 72032546 118897094 126707852 133216817 144065092 237794188 254835481 266433634 509670962 532867268 1019341924 2629187929 4339743931 4934229401 5258375858 8679487862 9724827641 9868458802 10516751716 11056995811 17358975724 18250703929 19449655282 19736917604 22113991622 36501407858 38899310564 44227983244 73002815716 360198746273 720397492546 807160694203 1332301386817 1440794985092 1514808426107 1614321388406 2664602773634 3029616852214 3228642776812 5329205547268 6059233704428 110581015105811 221162030211622 442324060423244