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442744040728 = 2311113233191089
BaseRepresentation
bin1100111000101011001…
…10011110110100011000
31120022210121000121201101
412130111212132310120
524223214433300403
6535221021201144
743662416152363
oct6342546366430
91508717017641
10442744040728
111608485178a0
12719821001b4
133299b057132
1417600d890da
15b7b426471d
hex671599ed18

442744040728 has 64 divisors (see below), whose sum is σ = 917553031200. Its totient is φ = 198609223680.

The previous prime is 442744040701. The next prime is 442744040741. The reversal of 442744040728 is 827040447244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2221408 + ... + 2412496.

Almost surely, 2442744040728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442744040728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458776515600).

442744040728 is an abundant number, since it is smaller than the sum of its proper divisors (474808990472).

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

442744040728 is a wasteful number, since it uses less digits than its factorization.

442744040728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191452 (or 191448 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 46.

The spelling of 442744040728 in words is "four hundred forty-two billion, seven hundred forty-four million, forty thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 113 226 233 452 466 904 932 1243 1864 2486 2563 4972 5126 9944 10252 20504 26329 52658 105316 191089 210632 289619 382178 579238 764356 1158476 1528712 2101979 2316952 4203958 8407916 16815832 21593057 43186114 44523737 86372228 89047474 172744456 178094948 237523627 356189896 475047254 489761107 950094508 979522214 1900189016 1959044428 3918088856 5031182281 10062364562 20124729124 40249458248 55343005091 110686010182 221372020364 442744040728