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442110545103656 = 231113237978437237
BaseRepresentation
bin110010010000110001110000…
…1111111100000101100101000
32010222101100121001011002102202
41210201203201333200230220
5430422014344021304111
64204142440333315332
7162060301311254162
oct14441434177405450
92128340531132382
10442110545103656
11118963035a05050
1241703b9b035b48
1315c8cacb791400
147b2639bd2d932
15361a49abe7b3b
hex19218e1fe0b28

442110545103656 has 96 divisors (see below), whose sum is σ = 981814595493600. Its totient is φ = 185011477297920.

The previous prime is 442110545103629. The next prime is 442110545103677. The reversal of 442110545103656 is 656301545011244.

It is a self number, because there is not a number n which added to its sum of digits gives 442110545103656.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33582131 + ... + 44855106.

It is an arithmetic number, because the mean of its divisors is an integer number (10227235369725).

Almost surely, 2442110545103656 is an apocalyptic number.

It is an amenable number.

442110545103656 is an abundant number, since it is smaller than the sum of its proper divisors (539704050389944).

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

442110545103656 is a wasteful number, since it uses less digits than its factorization.

442110545103656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78437659 (or 78437642 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 47.

The spelling of 442110545103656 in words is "four hundred forty-two trillion, one hundred ten billion, five hundred forty-five million, one hundred three thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 169 286 338 379 572 676 758 1144 1352 1516 1859 3032 3718 4169 4927 7436 8338 9854 14872 16676 19708 33352 39416 54197 64051 108394 128102 216788 256204 433576 512408 704561 1409122 2818244 5636488 78437237 156874474 313748948 627497896 862809607 1019684081 1725619214 2039368162 3451238428 4078736324 6902476856 8157472648 11216524891 13255893053 22433049782 26511786106 29727712823 44866099564 53023572212 59455425646 89732199128 106047144424 118910851292 145814823583 237821702584 291629647166 327004841053 386460266699 583259294332 654009682106 772920533398 1166518588664 1308019364212 1545841066796 2616038728424 3091682133592 4251062933689 5023983467087 8502125867378 10047966934174 17004251734756 20095933868348 34008503469512 40191867736696 55263818137957 110527636275914 221055272551828 442110545103656