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442271715644 = 22112337113104527
BaseRepresentation
bin1100110111110010111…
…00101101000100111100
31120021120200021000111202
412123321130231010330
524221233024400034
6535102105435032
743644622361333
oct6337134550474
91507520230452
10442271715644
11160625942a90
127186ba9ba78
1332924241935
1417598358d1a
15b787a6647e
hex66f972d13c

442271715644 has 96 divisors (see below), whose sum is σ = 912875636736. Its totient is φ = 185437486080.

The previous prime is 442271715643. The next prime is 442271715653. The reversal of 442271715644 is 446517172244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442271715643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4178909 + ... + 4283435.

It is an arithmetic number, because the mean of its divisors is an integer number (9509121216).

Almost surely, 2442271715644 is an apocalyptic number.

442271715644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442271715644 is an abundant number, since it is smaller than the sum of its proper divisors (470603921092).

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

442271715644 is a wasteful number, since it uses less digits than its factorization.

442271715644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104715 (or 104713 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 47.

Adding to 442271715644 its reverse (446517172244), we get a palindrome (888788887888).

The spelling of 442271715644 in words is "four hundred forty-two billion, two hundred seventy-one million, seven hundred fifteen thousand, six hundred forty-four".

Divisors: 1 2 4 11 22 23 37 44 46 74 92 113 148 226 253 407 452 506 814 851 1012 1243 1628 1702 2486 2599 3404 4181 4972 5198 8362 9361 10396 16724 18722 28589 37444 45991 57178 91982 96163 104527 114356 183964 192326 209054 384652 418108 1057793 1149797 2115586 2299594 2404121 3867499 4231172 4599188 4808242 7734998 9616484 11811551 15469996 23623102 26445331 42542489 47246204 52890662 85084978 88952477 105781324 129927061 170169956 177904954 259854122 271665673 355809908 437027387 519708244 543331346 874054774 978477247 1086662692 1748109548 1956954494 2988322403 3913908988 4807301257 5976644806 9614602514 10051629901 11953289612 19229205028 20103259802 40206519604 110567928911 221135857822 442271715644