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442431100011390 = 235719310916138663
BaseRepresentation
bin110010010011000111000010…
…0100011011100001101111110
32011000112000000001202121201220
41210212032010203130031332
5430442242343100331030
64204550012541414210
7162122410050105330
oct14446160443341576
92130460001677656
10442431100011390
11118a76a8088a7a6
124175614026a366
1315cb40c5c35bc9
147b37acad23450
1536239acbd4a10
hex19263848dc37e

442431100011390 has 64 divisors (see below), whose sum is σ = 1219812998870016. Its totient is φ = 100603133908992.

The previous prime is 442431100011389. The next prime is 442431100011427. The reversal of 442431100011390 is 93110001134244.

It is a congruent number.

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, 5458028802 + ... + 5458109861.

It is an arithmetic number, because the mean of its divisors is an integer number (19059578107344).

Almost surely, 2442431100011390 is an apocalyptic number.

442431100011390 is an abundant number, since it is smaller than the sum of its proper divisors (777381898858626).

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

442431100011390 is a wasteful number, since it uses less digits than its factorization.

442431100011390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10916138873.

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 442431100011390 in words is "four hundred forty-two trillion, four hundred thirty-one billion, one hundred million, eleven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 193 210 386 579 965 1158 1351 1930 2702 2895 4053 5790 6755 8106 13510 20265 40530 10916138663 21832277326 32748415989 54580693315 65496831978 76412970641 109161386630 152825941282 163742079945 229238911923 327484159890 382064853205 458477823846 764129706410 1146194559615 2106814761959 2292389119230 4213629523918 6320444285877 10534073809795 12640888571754 14747703333713 21068147619590 29495406667426 31602221429385 44243110001139 63204442858770 73738516668565 88486220002278 147477033337130 221215550005695 442431100011390